{"id":341,"date":"2025-12-17T01:07:17","date_gmt":"2025-12-16T17:07:17","guid":{"rendered":"http:\/\/4.189.252.43\/?p=341"},"modified":"2025-12-17T01:07:20","modified_gmt":"2025-12-16T17:07:20","slug":"%e7%ac%ac%e5%8d%81%e4%b8%80%e7%ab%a0-%e5%8f%82%e6%95%b0%e4%bc%b0%e8%ae%a1-%e5%8c%ba%e9%97%b4%e4%bc%b0%e8%ae%a1","status":"publish","type":"post","link":"http:\/\/4.189.252.43\/index.php\/2025\/12\/17\/%e7%ac%ac%e5%8d%81%e4%b8%80%e7%ab%a0-%e5%8f%82%e6%95%b0%e4%bc%b0%e8%ae%a1-%e5%8c%ba%e9%97%b4%e4%bc%b0%e8%ae%a1\/","title":{"rendered":"\u7b2c\u5341\u4e00\u7ae0 \u53c2\u6570\u4f30\u8ba1\u2014\u2014\u533a\u95f4\u4f30\u8ba1"},"content":{"rendered":"\n<h2>\u4e00\u3001\u6838\u5fc3\u6982\u5ff5<\/h2>\n<h3>1. 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x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1399-MJMAIN-31\" x=\"1170\" y=\"-213\"><\/use><use xlink:href=\"#E1399-MJMAIN-2C\" x=\"1281\" y=\"0\"><\/use><g transform=\"translate(1726,0)\"><use xlink:href=\"#E1399-MJMATHI-58\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1399-MJMAIN-32\" x=\"1170\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1399-MJMAIN-2C\" x=\"3007\" y=\"0\"><\/use><use xlink:href=\"#E1399-MJMAIN-2E\" x=\"3452\" y=\"0\"><\/use><use xlink:href=\"#E1399-MJMAIN-2E\" x=\"3897\" y=\"0\"><\/use><use xlink:href=\"#E1399-MJMAIN-2E\" x=\"4341\" y=\"0\"><\/use><use xlink:href=\"#E1399-MJMAIN-2C\" x=\"4786\" y=\"0\"><\/use><g transform=\"translate(5231,0)\"><use xlink:href=\"#E1399-MJMATHI-58\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1399-MJMATHI-6E\" x=\"1170\" y=\"-213\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">X_{1}, X_{2}, ..., X_{n}<\/script>\u662f\u6765\u81ea\u603b\u4f53<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.979ex\" height=\"1.877ex\" viewBox=\"0 -755.9 852 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.121ex;\"><defs><path stroke-width=\"0\" id=\"E1488-MJMATHI-58\" d=\"M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 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x=\"1170\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1403-MJMAIN-2C\" x=\"5077\" y=\"0\"><\/use><use xlink:href=\"#E1403-MJMAIN-2E\" x=\"5522\" y=\"0\"><\/use><use xlink:href=\"#E1403-MJMAIN-2E\" x=\"5967\" y=\"0\"><\/use><use xlink:href=\"#E1403-MJMAIN-2E\" x=\"6411\" y=\"0\"><\/use><use xlink:href=\"#E1403-MJMAIN-2C\" x=\"6856\" y=\"0\"><\/use><g transform=\"translate(7301,0)\"><use xlink:href=\"#E1403-MJMATHI-58\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1403-MJMATHI-6E\" x=\"1170\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1403-MJMAIN-29\" x=\"8653\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\hat{\\theta}_{2}=\\hat{\\theta}_{2}(X_{1},...,X_{n})<\/script>\uff0c\u4f7f\u5f97<\/p>\n<div contenteditable=\"true\" spellcheck=\"false\" class=\"mathjax-block md-end-block md-math-block md-rawblock\" id=\"mathjax-n11\" cid=\"n11\" mdtype=\"math_block\"><div class=\"md-rawblock-container md-math-container\" tabindex=\"-1\"><div 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x=\"751\" y=\"0\"><\/use><g transform=\"translate(1368,0)\"><use xlink:href=\"#E1379-MJSZ2-5B\"><\/use><g transform=\"translate(472,0)\"><use xlink:href=\"#E1379-MJMATHI-3B8\" x=\"15\" y=\"0\"><\/use><use xlink:href=\"#E1379-MJMAIN-5E\" x=\"83\" y=\"249\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1379-MJMAIN-31\" x=\"824\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1379-MJMAIN-3C\" x=\"1786\" y=\"0\"><\/use><use xlink:href=\"#E1379-MJMATHI-3B8\" x=\"2842\" y=\"0\"><\/use><use xlink:href=\"#E1379-MJMAIN-3C\" x=\"3589\" y=\"0\"><\/use><g transform=\"translate(4644,0)\"><use xlink:href=\"#E1379-MJMATHI-3B8\" x=\"15\" y=\"0\"><\/use><use xlink:href=\"#E1379-MJMAIN-5E\" x=\"83\" y=\"249\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1379-MJMAIN-32\" x=\"824\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1379-MJSZ2-5D\" x=\"5681\" y=\"-1\"><\/use><\/g><use xlink:href=\"#E1379-MJMAIN-2265\" x=\"7800\" y=\"0\"><\/use><use xlink:href=\"#E1379-MJMAIN-31\" x=\"8856\" y=\"0\"><\/use><use xlink:href=\"#E1379-MJMAIN-2212\" x=\"9578\" y=\"0\"><\/use><use xlink:href=\"#E1379-MJMATHI-3B1\" x=\"10578\" y=\"0\"><\/use><\/g><\/g><\/g><\/svg><\/span><\/div><script type=\"math\/tex; mode=display\" id=\"MathJax-Element-1228\">Pr\\left[\\hat{\\theta}_{1}<\\theta<\\hat{\\theta}_{2}\\right] \\geq 1-\\alpha<\/script><\/div><\/div>\n<p>\u6210\u7acb\uff0c\u5219\u79f0<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"5.487ex\" height=\"2.11ex\" viewBox=\"0 -755.9 2362.4 908.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.355ex;\"><defs><path stroke-width=\"0\" id=\"E1499-MJMAIN-31\" d=\"M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 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x=\"1722\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">1-\\alpha<\/script>\u4e3a\u7f6e\u4fe1\u5ea6\uff0c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"7.141ex\" height=\"3.044ex\" viewBox=\"0 -1007.2 3074.4 1310.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E1421-MJMAIN-5B\" d=\"M118 -250V750H255V710H158V-210H255V-250H118Z\"><\/path><path stroke-width=\"0\" id=\"E1421-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z\"><\/path><path 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99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z\"><\/path><path stroke-width=\"0\" id=\"E1421-MJMAIN-5D\" d=\"M22 710V750H159V-250H22V-210H119V710H22Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1421-MJMAIN-5B\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(278,0)\"><use xlink:href=\"#E1421-MJMATHI-3B8\" x=\"15\" y=\"0\"><\/use><use xlink:href=\"#E1421-MJMAIN-5E\" x=\"83\" y=\"249\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1421-MJMAIN-31\" x=\"824\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1421-MJMAIN-2C\" x=\"1314\" y=\"0\"><\/use><g transform=\"translate(1759,0)\"><use xlink:href=\"#E1421-MJMATHI-3B8\" x=\"15\" y=\"0\"><\/use><use xlink:href=\"#E1421-MJMAIN-5E\" x=\"83\" y=\"249\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1421-MJMAIN-32\" x=\"824\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1421-MJMAIN-5D\" x=\"2796\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">[\\hat{\\theta}_{1}, \\hat{\\theta}_{2}]<\/script>\u4e3a<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.089ex\" height=\"2.11ex\" viewBox=\"0 -806.1 469 908.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1498-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1498-MJMATHI-3B8\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\theta<\/script>\u7684\u7f6e\u4fe1\u5ea6\u4e3a<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"5.487ex\" height=\"2.11ex\" viewBox=\"0 -755.9 2362.4 908.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.355ex;\"><defs><path stroke-width=\"0\" id=\"E1499-MJMAIN-31\" d=\"M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z\"><\/path><path stroke-width=\"0\" id=\"E1499-MJMAIN-2212\" d=\"M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z\"><\/path><path stroke-width=\"0\" id=\"E1499-MJMATHI-3B1\" d=\"M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1499-MJMAIN-31\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1499-MJMAIN-2212\" x=\"722\" y=\"0\"><\/use><use xlink:href=\"#E1499-MJMATHI-3B1\" x=\"1722\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">1-\\alpha<\/script>\u7684\u7f6e\u4fe1\u533a\u95f4\u3002<\/p>\n<p><strong>Remarks\uff1a<\/strong><\/p>\n<ul>\n<li>\u7f6e\u4fe1\u533a\u95f4\u957f\u5ea6<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"7.656ex\" height=\"2.811ex\" viewBox=\"0 -1007.2 3296.2 1210.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.472ex;\"><defs><path stroke-width=\"0\" id=\"E1408-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z\"><\/path><path stroke-width=\"0\" id=\"E1408-MJMAIN-5E\" d=\"M112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 538L140 532Q138 530 125 546L112 560Z\"><\/path><path stroke-width=\"0\" id=\"E1408-MJMAIN-32\" d=\"M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z\"><\/path><path stroke-width=\"0\" id=\"E1408-MJMAIN-2212\" d=\"M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z\"><\/path><path stroke-width=\"0\" id=\"E1408-MJMAIN-31\" d=\"M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1408-MJMATHI-3B8\" x=\"15\" y=\"0\"><\/use><use xlink:href=\"#E1408-MJMAIN-5E\" x=\"83\" y=\"249\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1408-MJMAIN-32\" x=\"824\" y=\"-213\"><\/use><use xlink:href=\"#E1408-MJMAIN-2212\" x=\"1259\" y=\"0\"><\/use><g transform=\"translate(2259,0)\"><use xlink:href=\"#E1408-MJMATHI-3B8\" x=\"15\" y=\"0\"><\/use><use xlink:href=\"#E1408-MJMAIN-5E\" x=\"83\" y=\"249\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1408-MJMAIN-31\" x=\"824\" y=\"-213\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\hat{\\theta}_{2}-\\hat{\\theta}_{1}<\/script>\u53cd\u6620\u4f30\u8ba1\u7cbe\u5ea6\uff0c\u957f\u5ea6\u8d8a\u5c0f\uff0c\u7cbe\u5ea6\u8d8a\u9ad8\uff1b<\/li>\n\n<\/ul>\n<ul>\n<li>\u7f6e\u4fe1\u5ea6<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.486ex\" height=\"1.41ex\" viewBox=\"0 -504.6 640 607.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1411-MJMATHI-3B1\" d=\"M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1411-MJMATHI-3B1\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\alpha<\/script>\u53cd\u6620\u4f30\u8ba1\u53ef\u9760\u5ea6\uff0c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.486ex\" height=\"1.41ex\" viewBox=\"0 -504.6 640 607.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1411-MJMATHI-3B1\" d=\"M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1411-MJMATHI-3B1\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\alpha<\/script>\u8d8a\u5c0f\uff0c\u53ef\u9760\u5ea6\u8d8a\u9ad8\uff1b<\/li>\n<li>\u7ed9\u5b9a<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.486ex\" height=\"1.41ex\" viewBox=\"0 -504.6 640 607.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1411-MJMATHI-3B1\" d=\"M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1411-MJMATHI-3B1\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\alpha<\/script>\u65f6\uff0c\u7f6e\u4fe1\u533a\u95f4\u4e0d\u552f\u4e00\uff0c\u901a\u5e38\u9009\u62e9\u957f\u5ea6\u6700\u5c0f\u7684\u533a\u95f4\u3002<\/li>\n\n<\/ul>\n<h3>2. \u67a2\u8f74\u53d8\u91cf\u6cd5\uff08\u6784\u9020\u7f6e\u4fe1\u533a\u95f4\u6838\u5fc3\u65b9\u6cd5\uff09<\/h3>\n<ol>\n<li>\u6784\u9020<strong>\u67a2\u8f74\u53d8\u91cf<\/strong><span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"23.176ex\" height=\"2.577ex\" viewBox=\"0 -806.1 9978.4 1109.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E1412-MJMATHI-57\" d=\"M436 683Q450 683 486 682T553 680Q604 680 638 681T677 682Q695 682 695 674Q695 670 692 659Q687 641 683 639T661 637Q636 636 621 632T600 624T597 615Q597 603 613 377T629 138L631 141Q633 144 637 151T649 170T666 200T690 241T720 295T759 362Q863 546 877 572T892 604Q892 619 873 628T831 637Q817 637 817 647Q817 650 819 660Q823 676 825 679T839 682Q842 682 856 682T895 682T949 681Q1015 681 1034 683Q1048 683 1048 672Q1048 666 1045 655T1038 640T1028 637Q1006 637 988 631T958 617T939 600T927 584L923 578L754 282Q586 -14 585 -15Q579 -22 561 -22Q546 -22 542 -17Q539 -14 523 229T506 480L494 462Q472 425 366 239Q222 -13 220 -15T215 -19Q210 -22 197 -22Q178 -22 176 -15Q176 -12 154 304T131 622Q129 631 121 633T82 637H58Q51 644 51 648Q52 671 64 683H76Q118 680 176 680Q301 680 313 683H323Q329 677 329 674T327 656Q322 641 318 637H297Q236 634 232 620Q262 160 266 136L501 550L499 587Q496 629 489 632Q483 636 447 637Q428 637 422 639T416 648Q416 650 418 660Q419 664 420 669T421 676T424 680T428 682T436 683Z\"><\/path><path stroke-width=\"0\" id=\"E1412-MJMAIN-3D\" d=\"M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z\"><\/path><path stroke-width=\"0\" id=\"E1412-MJMAIN-28\" d=\"M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z\"><\/path><path stroke-width=\"0\" id=\"E1412-MJMATHI-58\" d=\"M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0Z\"><\/path><path stroke-width=\"0\" id=\"E1412-MJMAIN-31\" d=\"M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z\"><\/path><path stroke-width=\"0\" id=\"E1412-MJMAIN-2C\" d=\"M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z\"><\/path><path stroke-width=\"0\" id=\"E1412-MJMAIN-2E\" d=\"M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z\"><\/path><path stroke-width=\"0\" id=\"E1412-MJMATHI-6E\" d=\"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z\"><\/path><path stroke-width=\"0\" id=\"E1412-MJMAIN-3B\" d=\"M78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 85 94 103T137 121Q202 121 202 8Q202 -44 183 -94T144 -169T118 -194Q115 -194 106 -186T95 -174Q94 -171 107 -155T137 -107T160 -38Q161 -32 162 -22T165 -4T165 4Q165 5 161 4T142 0Q110 0 94 18T78 60Z\"><\/path><path stroke-width=\"0\" id=\"E1412-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z\"><\/path><path stroke-width=\"0\" id=\"E1412-MJMAIN-29\" d=\"M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1412-MJMATHI-57\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1412-MJMAIN-3D\" x=\"1325\" y=\"0\"><\/use><use xlink:href=\"#E1412-MJMATHI-57\" x=\"2381\" y=\"0\"><\/use><use xlink:href=\"#E1412-MJMAIN-28\" x=\"3429\" y=\"0\"><\/use><g transform=\"translate(3818,0)\"><use xlink:href=\"#E1412-MJMATHI-58\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1412-MJMAIN-31\" x=\"1170\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1412-MJMAIN-2C\" x=\"5100\" y=\"0\"><\/use><use xlink:href=\"#E1412-MJMAIN-2E\" x=\"5544\" y=\"0\"><\/use><use xlink:href=\"#E1412-MJMAIN-2E\" x=\"5989\" y=\"0\"><\/use><use xlink:href=\"#E1412-MJMAIN-2E\" x=\"6434\" y=\"0\"><\/use><use xlink:href=\"#E1412-MJMAIN-2C\" x=\"6878\" y=\"0\"><\/use><g transform=\"translate(7323,0)\"><use xlink:href=\"#E1412-MJMATHI-58\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1412-MJMATHI-6E\" x=\"1170\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1412-MJMAIN-3B\" x=\"8675\" y=\"0\"><\/use><use xlink:href=\"#E1412-MJMATHI-3B8\" x=\"9120\" y=\"0\"><\/use><use xlink:href=\"#E1412-MJMAIN-29\" x=\"9589\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">W=W(X_{1},...,X_{n};\\theta)<\/script>\uff0c\u5176\u5206\u5e03<strong>\u542b\u5f85\u4f30\u53c2\u6570<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.089ex\" height=\"2.11ex\" viewBox=\"0 -806.1 469 908.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1498-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1498-MJMATHI-3B8\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\theta<\/script>\u4f46\u4e0d\u4f9d\u8d56\u5176\u4ed6\u53c2\u6570<\/strong>\uff0c\u4e14\u5206\u5e03\u5df2\u77e5\uff1b<\/li>\n<li>\u7ed9\u5b9a\u7f6e\u4fe1\u5ea6<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"5.487ex\" height=\"2.11ex\" viewBox=\"0 -755.9 2362.4 908.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.355ex;\"><defs><path stroke-width=\"0\" id=\"E1499-MJMAIN-31\" d=\"M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z\"><\/path><path stroke-width=\"0\" id=\"E1499-MJMAIN-2212\" d=\"M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z\"><\/path><path stroke-width=\"0\" id=\"E1499-MJMATHI-3B1\" d=\"M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1499-MJMAIN-31\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1499-MJMAIN-2212\" x=\"722\" y=\"0\"><\/use><use xlink:href=\"#E1499-MJMATHI-3B1\" x=\"1722\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">1-\\alpha<\/script>\uff0c\u6839\u636e<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.434ex\" height=\"1.994ex\" viewBox=\"0 -755.9 1048 858.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1415-MJMATHI-57\" d=\"M436 683Q450 683 486 682T553 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xlink:href=\"#E1421-MJMATHI-3B8\" x=\"15\" y=\"0\"><\/use><use xlink:href=\"#E1421-MJMAIN-5E\" x=\"83\" y=\"249\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1421-MJMAIN-32\" x=\"824\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1421-MJMAIN-5D\" x=\"2796\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">[\\hat{\\theta}_{1}, \\hat{\\theta}_{2}]<\/script>\u3002<\/li>\n\n<\/ol>\n<h2>\u4e8c\u3001\u5355\u4e2a\u6b63\u6001\u603b\u4f53\u53c2\u6570\u7684\u7f6e\u4fe1\u533a\u95f4<\/h2>\n<h3>1. <span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.329ex\" height=\"1.41ex\" viewBox=\"0 -504.6 572 607.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1445-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1445-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\sigma<\/script>\u5df2\u77e5\u65f6\uff0c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.401ex\" height=\"1.801ex\" viewBox=\"0 -505.2 603 775.6\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.628ex;\"><defs><path stroke-width=\"0\" id=\"E1486-MJMATHI-3BC\" d=\"M58 -216Q44 -216 34 -208T23 -186Q23 -176 96 116T173 414Q186 442 219 442Q231 441 239 435T249 423T251 413Q251 401 220 279T187 142Q185 131 185 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xlink:href=\"#E1380-MJMAIN-223C\" x=\"5696\" y=\"0\"><\/use><use xlink:href=\"#E1380-MJMATHI-4E\" x=\"6752\" y=\"0\"><\/use><use xlink:href=\"#E1380-MJMAIN-28\" x=\"7640\" y=\"0\"><\/use><use xlink:href=\"#E1380-MJMAIN-30\" x=\"8029\" y=\"0\"><\/use><use xlink:href=\"#E1380-MJMAIN-2C\" x=\"8529\" y=\"0\"><\/use><use xlink:href=\"#E1380-MJMAIN-31\" x=\"8974\" y=\"0\"><\/use><use xlink:href=\"#E1380-MJMAIN-29\" x=\"9474\" y=\"0\"><\/use><\/g><\/g><\/g><\/g><\/svg><\/span><\/div><script type=\"math\/tex; mode=display\" id=\"MathJax-Element-1229\">W=\\frac{\\bar{X}-\\mu}{\\sigma \/ \\sqrt{n}} \\sim N(0,1)<\/script><\/div><\/div>\n<\/li>\n<li><p>&nbsp;<\/p>\n<\/li>\n\n<\/ul>\n<p>\u5176\u4e2d\uff08<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.979ex\" height=\"2.227ex\" viewBox=\"0 -906.7 852 958.9\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.121ex;\"><defs><path 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0Z\"><\/path><path stroke-width=\"0\" id=\"E1424-MJMAIN-AF\" d=\"M69 544V590H430V544H69Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1424-MJMATHI-58\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1424-MJMAIN-AF\" x=\"274\" y=\"214\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\bar{X}<\/script>\u4e3a\u6837\u672c\u5747\u503c\uff09\uff1b<\/p>\n<ul>\n<li><p>\u4e34\u754c\u503c\uff1a\u7531\u6b63\u6001\u5206\u5e03\u5bf9\u79f0\u6027\uff0c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"10.459ex\" height=\"2.577ex\" viewBox=\"0 -655.4 4503.2 1109.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -1.055ex;\"><defs><path stroke-width=\"0\" id=\"E1425-MJMATHI-61\" d=\"M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 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62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z\"><\/path><path stroke-width=\"0\" id=\"E1427-MJMAIN-2F\" d=\"M423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750Z\"><\/path><path stroke-width=\"0\" id=\"E1427-MJMAIN-32\" d=\"M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z\"><\/path><path stroke-width=\"0\" id=\"E1427-MJMAIN-5D\" d=\"M22 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y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1427-MJMATHI-3B1\" x=\"1278\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1427-MJMAIN-2F\" x=\"1918\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1427-MJMAIN-32\" x=\"2417\" y=\"0\"><\/use><\/g><\/g><use xlink:href=\"#E1427-MJMAIN-5D\" x=\"6627\" y=\"0\"><\/use><use xlink:href=\"#E1427-MJMAIN-3D\" x=\"7183\" y=\"0\"><\/use><use xlink:href=\"#E1427-MJMAIN-31\" x=\"8239\" y=\"0\"><\/use><use xlink:href=\"#E1427-MJMAIN-2212\" x=\"8961\" y=\"0\"><\/use><use xlink:href=\"#E1427-MJMATHI-3B1\" x=\"9961\" y=\"0\"><\/use><use xlink:href=\"#E1427-MJMAIN-2F\" x=\"10601\" y=\"0\"><\/use><use xlink:href=\"#E1427-MJMAIN-32\" x=\"11101\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">Pr[W \\geq \\mu_{1-\\alpha \/ 2}]=1-\\alpha \/ 2<\/script>\uff1b<\/p>\n<\/li>\n<li><p>\u56e0\u6b64<\/p>\n<div contenteditable=\"true\" spellcheck=\"false\" class=\"mathjax-block md-end-block md-math-block 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xlink:href=\"#E1428-MJMAIN-5D\" x=\"11343\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">[\\bar{X} - \\frac{\\sigma}{\\sqrt{n}} \\mu_{\\alpha \/ 2} ,  \\bar{X} + \\frac{\\sigma}{\\sqrt{n}} \\mu_{\\alpha \/ 2}]<\/script><\/p>\n<\/li>\n\n<\/ul>\n<h3>2. <span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.329ex\" height=\"1.41ex\" viewBox=\"0 -504.6 572 607.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1445-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1445-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\sigma<\/script>\u672a\u77e5\u65f6\uff0c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.401ex\" height=\"1.801ex\" viewBox=\"0 -505.2 603 775.6\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.628ex;\"><defs><path stroke-width=\"0\" id=\"E1486-MJMATHI-3BC\" d=\"M58 -216Q44 -216 34 -208T23 -186Q23 -176 96 116T173 414Q186 442 219 442Q231 441 239 435T249 423T251 413Q251 401 220 279T187 142Q185 131 185 107V99Q185 26 252 26Q261 26 270 27T287 31T302 38T315 45T327 55T338 65T348 77T356 88T365 100L372 110L408 253Q444 395 448 404Q461 431 491 431Q504 431 512 424T523 412T525 402L449 84Q448 79 448 68Q448 43 455 35T476 26Q485 27 496 35Q517 55 537 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xlink:href=\"#E1442-MJMAIN-28\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1442-MJMATHI-53\" x=\"389\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1442-MJMAIN-2F\" x=\"1034\" y=\"0\"><\/use><g transform=\"translate(1084,0)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1442-MJMAIN-221A\" x=\"0\" y=\"-78\"><\/use><rect stroke=\"none\" width=\"424\" height=\"42\" x=\"589\" y=\"468\"><\/rect><use transform=\"scale(0.707)\" xlink:href=\"#E1442-MJMATHI-6E\" x=\"833\" y=\"0\"><\/use><\/g><use transform=\"scale(0.707)\" xlink:href=\"#E1442-MJMAIN-29\" x=\"2967\" y=\"0\"><\/use><\/g><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\frac{\\bar{x} - \\mu}{(S \/ \\sqrt{n})} <\/script>\u662f<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"0.838ex\" height=\"1.877ex\" viewBox=\"0 -705.6 361 808.1\" role=\"img\" focusable=\"false\" 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type=\"math\/tex\">\\sigma<\/script>\u5df2\u77e5\u7684\u65f6\u5019\uff0c\u5b83\u662f\u4e00\u4e2a\u5e38\u91cf\uff0c\u56e0\u6b64\u8fd0\u7b97\u540e\u662f\u4e00\u4e2a\u6b63\u6001\u5206\u5e03\u3002\u800c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.329ex\" height=\"1.41ex\" viewBox=\"0 -504.6 572 607.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1445-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" 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xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"5.394ex\" height=\"2.11ex\" viewBox=\"0 -755.9 2322.4 908.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.355ex;\"><defs><path stroke-width=\"0\" id=\"E1448-MJMATHI-6E\" d=\"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z\"><\/path><path stroke-width=\"0\" id=\"E1448-MJMAIN-2212\" d=\"M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z\"><\/path><path stroke-width=\"0\" id=\"E1448-MJMAIN-31\" d=\"M213 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183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z\"><\/path><path stroke-width=\"0\" id=\"E1449-MJMAIN-223C\" d=\"M55 166Q55 241 101 304T222 367Q260 367 296 349T362 304T421 252T484 208T554 189Q616 189 655 236T694 338Q694 350 698 358T708 367Q722 367 722 334Q722 260 677 197T562 134H554Q517 134 481 152T414 196T355 248T292 293T223 311Q179 311 145 286Q109 257 96 218T80 156T69 133Q55 133 55 166Z\"><\/path><path stroke-width=\"0\" id=\"E1449-MJMATHI-3C7\" d=\"M576 -125Q576 -147 547 -175T487 -204H476Q394 -204 363 -157Q334 -114 293 26L284 59Q283 58 248 19T170 -66T92 -151T53 -191Q49 -194 43 -194Q36 -194 31 -189T25 -177T38 -154T151 -30L272 102L265 131Q189 405 135 405Q104 405 87 358Q86 351 68 351Q48 351 48 361Q48 369 56 386T89 423T148 442Q224 442 258 400Q276 375 297 320T330 222L341 180Q344 180 455 303T573 429Q579 431 582 431Q600 431 600 414Q600 407 587 392T477 270Q356 138 353 134L362 102Q392 -10 428 -89T490 -168Q504 -168 517 -156T536 -126Q539 -116 543 -115T557 -114T571 -115Q576 -118 576 -125Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1449-MJMATHI-53\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1449-MJMAIN-32\" x=\"925\" y=\"513\"><\/use><use xlink:href=\"#E1449-MJMAIN-223C\" x=\"1385\" y=\"0\"><\/use><g transform=\"translate(2441,0)\"><use xlink:href=\"#E1449-MJMATHI-3C7\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1449-MJMAIN-32\" x=\"885\" y=\"513\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">S^2 \\sim \\chi^2<\/script>\uff0c\u56e0\u6b64\u9700\u8981\u7528\u5230<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"0.838ex\" height=\"1.877ex\" viewBox=\"0 -705.6 361 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1528-MJMATHI-74\" d=\"M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1528-MJMATHI-74\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">t<\/script>\u5206\u5e03\u3002<\/p>\n<\/blockquote>\n<h3>3. <span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.383ex\" height=\"2.344ex\" viewBox=\"0 -906.7 1025.9 1009.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1494-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z\"><\/path><path stroke-width=\"0\" id=\"E1494-MJMAIN-32\" d=\"M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1494-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1494-MJMAIN-32\" x=\"809\" y=\"513\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\sigma^{2}<\/script>\u7684\u7f6e\u4fe1\u533a\u95f4\uff08<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.401ex\" height=\"1.801ex\" viewBox=\"0 -505.2 603 775.6\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.628ex;\"><defs><path stroke-width=\"0\" id=\"E1486-MJMATHI-3BC\" d=\"M58 -216Q44 -216 34 -208T23 -186Q23 -176 96 116T173 414Q186 442 219 442Q231 441 239 435T249 423T251 413Q251 401 220 279T187 142Q185 131 185 107V99Q185 26 252 26Q261 26 270 27T287 31T302 38T315 45T327 55T338 65T348 77T356 88T365 100L372 110L408 253Q444 395 448 404Q461 431 491 431Q504 431 512 424T523 412T525 402L449 84Q448 79 448 68Q448 43 455 35T476 26Q485 27 496 35Q517 55 537 131Q543 151 547 152Q549 153 557 153H561Q580 153 580 144Q580 138 575 117T555 63T523 13Q510 0 491 -8Q483 -10 467 -10Q446 -10 429 -4T402 11T385 29T376 44T374 51L368 45Q362 39 350 30T324 12T288 -4T246 -11Q199 -11 153 12L129 -85Q108 -167 104 -180T92 -202Q76 -216 58 -216Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1486-MJMATHI-3BC\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\mu<\/script>\u672a\u77e5\uff0c\u5b9e\u9645\u5e38\u7528\u573a\u666f\uff09<\/h3>\n<ul>\n<li><p>\u7531\u4e8e<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.383ex\" height=\"2.344ex\" viewBox=\"0 -906.7 1025.9 1009.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1504-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z\"><\/path><path stroke-width=\"0\" id=\"E1504-MJMAIN-32\" d=\"M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 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xlink:href=\"#E1459-MJMAIN-29\" x=\"2267\" y=\"0\"><\/use><g transform=\"translate(1878,0)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1459-MJMATHI-53\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.5)\" xlink:href=\"#E1459-MJMAIN-32\" x=\"925\" y=\"610\"><\/use><\/g><\/g><g transform=\"translate(60,-481)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1459-MJMATHI-3C7\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.5)\" xlink:href=\"#E1459-MJMAIN-32\" x=\"885\" y=\"487\"><\/use><g transform=\"translate(442,-259)\"><use transform=\"scale(0.5)\" xlink:href=\"#E1459-MJMATHI-3B1\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.5)\" xlink:href=\"#E1459-MJMAIN-2F\" x=\"640\" y=\"0\"><\/use><use transform=\"scale(0.5)\" xlink:href=\"#E1459-MJMAIN-32\" x=\"1140\" y=\"0\"><\/use><\/g><use transform=\"scale(0.707)\" xlink:href=\"#E1459-MJMAIN-28\" x=\"1885\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1459-MJMATHI-6E\" x=\"2274\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1459-MJMAIN-2212\" x=\"2874\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1459-MJMAIN-31\" x=\"3652\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1459-MJMAIN-29\" x=\"4152\" y=\"0\"><\/use><\/g><\/g><\/g><use xlink:href=\"#E1459-MJSZ3-5D\" x=\"8754\" y=\"-1\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\left[\\frac{(n-1) S^{2}}{\\chi_{1-\\alpha \/ 2}^{2}(n-1)}, \\frac{(n-1) S^{2}}{\\chi_{\\alpha \/ 2}^{2}(n-1)}\\right]<\/script>\uff1b<\/li>\n\n<\/ul>\n<h2>\u4e09\u3001\u4e24\u4e2a\u6b63\u6001\u603b\u4f53\u53c2\u6570\u7684\u7f6e\u4fe1\u533a\u95f4<\/h2>\n<p>\u8bbe<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"11.281ex\" height=\"2.344ex\" viewBox=\"0 -755.9 4857.2 1009.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.588ex;\"><defs><path stroke-width=\"0\" id=\"E1460-MJMATHI-58\" d=\"M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0Z\"><\/path><path stroke-width=\"0\" 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153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1460-MJMATHI-58\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1460-MJMAIN-31\" x=\"1170\" y=\"-213\"><\/use><use xlink:href=\"#E1460-MJMAIN-2C\" x=\"1281\" y=\"0\"><\/use><use xlink:href=\"#E1460-MJMAIN-2E\" x=\"1726\" y=\"0\"><\/use><use xlink:href=\"#E1460-MJMAIN-2E\" x=\"2170\" y=\"0\"><\/use><use xlink:href=\"#E1460-MJMAIN-2E\" x=\"2615\" y=\"0\"><\/use><use xlink:href=\"#E1460-MJMAIN-2C\" x=\"3060\" y=\"0\"><\/use><g transform=\"translate(3504,0)\"><use xlink:href=\"#E1460-MJMATHI-58\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1460-MJMATHI-6E\" x=\"1170\" y=\"-213\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">X_{1},...,X_{n}<\/script>\u6765\u81ea<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"9.739ex\" height=\"3.044ex\" viewBox=\"0 -906.7 4193.1 1310.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.938ex;\"><defs><path stroke-width=\"0\" id=\"E1461-MJMATHI-4E\" d=\"M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 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725Q56 737 55 738Q55 746 60 749Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1461-MJMATHI-4E\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1461-MJMAIN-28\" x=\"888\" y=\"0\"><\/use><g transform=\"translate(1277,0)\"><use xlink:href=\"#E1461-MJMATHI-3BC\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1461-MJMAIN-31\" x=\"852\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1461-MJMAIN-2C\" x=\"2333\" y=\"0\"><\/use><g transform=\"translate(2778,0)\"><use xlink:href=\"#E1461-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1461-MJMAIN-32\" x=\"809\" y=\"487\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1461-MJMAIN-31\" x=\"807\" y=\"-434\"><\/use><\/g><use xlink:href=\"#E1461-MJMAIN-29\" x=\"3804\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">N(\\mu_{1}, \\sigma_{1}^{2})<\/script>\uff0c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"10.59ex\" height=\"2.344ex\" viewBox=\"0 -755.9 4559.7 1009.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.588ex;\"><defs><path stroke-width=\"0\" id=\"E1462-MJMATHI-59\" d=\"M66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 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xlink:href=\"#E1462-MJMAIN-31\" x=\"821\" y=\"-213\"><\/use><use xlink:href=\"#E1462-MJMAIN-2C\" x=\"1034\" y=\"0\"><\/use><use xlink:href=\"#E1462-MJMAIN-2E\" x=\"1479\" y=\"0\"><\/use><use xlink:href=\"#E1462-MJMAIN-2E\" x=\"1923\" y=\"0\"><\/use><use xlink:href=\"#E1462-MJMAIN-2E\" x=\"2368\" y=\"0\"><\/use><use xlink:href=\"#E1462-MJMAIN-2C\" x=\"2813\" y=\"0\"><\/use><g transform=\"translate(3257,0)\"><use xlink:href=\"#E1462-MJMATHI-59\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1462-MJMATHI-6D\" x=\"821\" y=\"-213\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">Y_{1},...,Y_{m}<\/script>\u6765\u81ea<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"9.739ex\" height=\"3.044ex\" viewBox=\"0 -906.7 4193.1 1310.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.938ex;\"><defs><path stroke-width=\"0\" id=\"E1463-MJMATHI-4E\" 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x=\"3804\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">N(\\mu_{2}, \\sigma_{2}^{2})<\/script>\uff0c\u6837\u672c\u72ec\u7acb\uff0c\u5b9a\u4e49<\/p>\n<div contenteditable=\"true\" spellcheck=\"false\" class=\"mathjax-block md-end-block md-math-block md-rawblock\" id=\"mathjax-n75\" cid=\"n75\" mdtype=\"math_block\"><div class=\"md-rawblock-container md-math-container\" tabindex=\"-1\"><div class=\"MathJax_SVG_Display\"><span class=\"MathJax_SVG\" id=\"MathJax-Element-1233-Frame\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block; zoom: 0.833815;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"94.405ex\" height=\"6.78ex\" viewBox=\"0 -1710.8 40646.5 2919\" role=\"img\" focusable=\"false\" style=\"vertical-align: -2.806ex; max-width: 100%;\" class=\"in-text-selection\"><defs><path stroke-width=\"0\" id=\"E1384-MJMAIN-28\" d=\"M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 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y=\"487\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1384-MJMAIN-32\" x=\"866\" y=\"-434\"><\/use><\/g><use xlink:href=\"#E1384-MJMAIN-3D\" x=\"28646\" y=\"0\"><\/use><g transform=\"translate(29424,0)\"><g transform=\"translate(397,0)\"><rect stroke=\"none\" width=\"2720\" height=\"60\" x=\"0\" y=\"220\"><\/rect><use xlink:href=\"#E1384-MJMAIN-31\" x=\"1110\" y=\"676\"><\/use><g transform=\"translate(60,-686)\"><use xlink:href=\"#E1384-MJMATHI-6D\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1384-MJMAIN-2212\" x=\"1100\" y=\"0\"><\/use><use xlink:href=\"#E1384-MJMAIN-31\" x=\"2100\" y=\"0\"><\/use><\/g><\/g><\/g><g transform=\"translate(32829,0)\"><use xlink:href=\"#E1384-MJSZ2-2211\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(148,-1088)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1384-MJMATHI-69\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1384-MJMAIN-3D\" x=\"345\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1384-MJMAIN-31\" x=\"1123\" y=\"0\"><\/use><\/g><use transform=\"scale(0.707)\" xlink:href=\"#E1384-MJMATHI-6D\" x=\"582\" y=\"1626\"><\/use><\/g><use xlink:href=\"#E1384-MJMAIN-28\" x=\"34273\" y=\"0\"><\/use><g transform=\"translate(34662,0)\"><use xlink:href=\"#E1384-MJMATHI-59\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1384-MJMATHI-69\" x=\"821\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1384-MJMAIN-2212\" x=\"35809\" y=\"0\"><\/use><g transform=\"translate(36810,0)\"><use xlink:href=\"#E1384-MJMATHI-59\" x=\"24\" y=\"0\"><\/use><g transform=\"translate(118,498)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1384-MJMAIN-AF\" x=\"-69\" y=\"0\"><\/use><g transform=\"translate(207.00971871513434,0) scale(0.989044177536486,1)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1384-MJMAIN-AF\"><\/use><\/g><use transform=\"scale(0.707)\" xlink:href=\"#E1384-MJMAIN-AF\" x=\"649\" y=\"0\"><\/use><\/g><\/g><g transform=\"translate(37740,0)\"><use xlink:href=\"#E1384-MJMAIN-29\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1384-MJMAIN-32\" x=\"550\" y=\"583\"><\/use><\/g><\/g><\/g><\/g><\/g><\/svg><\/span><\/div><script type=\"math\/tex; mode=display\" id=\"MathJax-Element-1233\">\\bar{x}=\\frac{1}{n}\\sum_{i=1}^{n}X_{i}, \\quad \\bar{y}=\\frac{1}{m}\\sum_{i=1}^{m}Y_{i}, \\quad S_{1}^{2}=\\frac{1}{n-1}\\sum_{i=1}^{n}(X_{i}-\\overline{X})^{2}, \\quad S_{2}^{2}=\\frac{1}{m-1}\\sum_{i=1}^{m}(Y_{i}-\\overline{Y})^{2}<\/script><\/div><\/div>\n<h3>1. \u5747\u503c\u4e4b\u5dee<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"7.747ex\" height=\"2.113ex\" viewBox=\"0 -639.4 3335.6 909.8\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.628ex;\"><defs><path stroke-width=\"0\" id=\"E1464-MJMATHI-3BC\" d=\"M58 -216Q44 -216 34 -208T23 -186Q23 -176 96 116T173 414Q186 442 219 442Q231 441 239 435T249 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250Z\"><\/path><path stroke-width=\"0\" id=\"E1464-MJMAIN-32\" d=\"M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1464-MJMATHI-3BC\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1464-MJMAIN-31\" x=\"852\" y=\"-213\"><\/use><use xlink:href=\"#E1464-MJMAIN-2212\" x=\"1278\" y=\"0\"><\/use><g transform=\"translate(2278,0)\"><use xlink:href=\"#E1464-MJMATHI-3BC\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1464-MJMAIN-32\" x=\"852\" y=\"-213\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\mu_{1}-\\mu_{2}<\/script>\u7684\u7f6e\u4fe1\u533a\u95f4<\/h3>\n<h4>\uff081\uff09<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.383ex\" height=\"2.906ex\" viewBox=\"0 -887.3 1025.9 1251.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.846ex;\"><defs><path stroke-width=\"0\" id=\"E1465-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z\"><\/path><path stroke-width=\"0\" id=\"E1465-MJMAIN-32\" d=\"M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z\"><\/path><path stroke-width=\"0\" id=\"E1465-MJMAIN-31\" d=\"M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1465-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1465-MJMAIN-32\" x=\"809\" y=\"487\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1465-MJMAIN-31\" x=\"807\" y=\"-434\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\sigma_{1}^{2}<\/script>\u548c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.383ex\" height=\"2.906ex\" viewBox=\"0 -887.3 1025.9 1251.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.846ex;\"><defs><path stroke-width=\"0\" id=\"E1466-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z\"><\/path><path stroke-width=\"0\" id=\"E1466-MJMAIN-32\" d=\"M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1466-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1466-MJMAIN-32\" x=\"809\" y=\"487\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1466-MJMAIN-32\" x=\"807\" y=\"-434\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\sigma_{2}^{2}<\/script>\u5df2\u77e5<\/h4>\n<ul>\n<li><p>\u6709 <\/p>\n<div contenteditable=\"true\" 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y=\"0\"><\/use><g transform=\"translate(4718,0)\"><use xlink:href=\"#E1468-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1468-MJMAIN-32\" x=\"809\" y=\"513\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\sigma_{1}^{2}=\\sigma_{2}^{2}=\\sigma^{2}<\/script>\u672a\u77e5<\/h4>\n<ul>\n<li><p>\u6709<\/p>\n<div contenteditable=\"true\" spellcheck=\"false\" class=\"mathjax-block md-end-block md-math-block md-rawblock\" id=\"mathjax-n94\" cid=\"n94\" mdtype=\"math_block\"><div class=\"md-rawblock-container md-math-container\" tabindex=\"-1\"><div class=\"MathJax_SVG_Display\"><span class=\"MathJax_SVG\" id=\"MathJax-Element-1236-Frame\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block; zoom: 0.905607;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"83.052ex\" height=\"7.247ex\" viewBox=\"0 -1811.3 35758.5 3120.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -3.04ex; max-width: 100%;\" 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y=\"0\"><\/use><use xlink:href=\"#E1387-MJMATHI-6E\" x=\"30983\" y=\"0\"><\/use><use xlink:href=\"#E1387-MJMAIN-2212\" x=\"31806\" y=\"0\"><\/use><use xlink:href=\"#E1387-MJMAIN-32\" x=\"32806\" y=\"0\"><\/use><use xlink:href=\"#E1387-MJMAIN-29\" x=\"33306\" y=\"0\"><\/use><\/g><\/g><\/g><\/svg><\/span><\/div><script type=\"math\/tex; mode=display\" id=\"MathJax-Element-1236\">\\bar{x} - \\bar{y} \\sim \\mathcal{N}\\left(\\mu_1 - \\mu_2, \\frac{\\sigma_1^2}{n} + \\frac{\\sigma_2^2}{m}\\right), \\quad \\frac{(n - 1)S^2_1 + (m - 1)S^2_2}{\\sigma^2} \\sim \\chi^2(m + n - 2)<\/script><\/div><\/div>\n<p>\u6545\u53ef\u4ee5\u6784\u9020\u5982\u4e0b\u670d\u7528<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"0.838ex\" height=\"1.877ex\" viewBox=\"0 -705.6 361 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1528-MJMATHI-74\" 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transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMAIN-2B\" x=\"3764\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMAIN-28\" x=\"4542\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMATHI-6D\" x=\"4931\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMAIN-2212\" x=\"5809\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMAIN-31\" x=\"6587\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMAIN-29\" x=\"7087\" y=\"0\"><\/use><g transform=\"translate(5286,0)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMATHI-53\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.5)\" xlink:href=\"#E1470-MJMAIN-32\" x=\"925\" y=\"610\"><\/use><use transform=\"scale(0.5)\" xlink:href=\"#E1470-MJMAIN-32\" x=\"866\" y=\"-350\"><\/use><\/g><\/g><g transform=\"translate(1845,-376)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMATHI-6E\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMAIN-2B\" x=\"600\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMATHI-6D\" x=\"1378\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMAIN-2212\" x=\"2256\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1470-MJMAIN-32\" x=\"3034\" y=\"0\"><\/use><\/g><\/g><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">S_w^2 = \\frac{(n - 1)S^2_1 + (m - 1)S^2_2}{n + m - 2}<\/script>.<\/p>\n<\/li>\n\n<\/ul>\n<ul>\n<li>\u7f6e\u4fe1\u533a\u95f4\uff1a<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"40.131ex\" height=\"4.679ex\" viewBox=\"0 -1308.7 17278.4 2014.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -1.639ex;\"><defs><path stroke-width=\"0\" id=\"E1471-MJMATHI-58\" d=\"M42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 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y=\"-434\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\sigma_{1}^{2}\/\\sigma_{2}^{2}<\/script>\u7684\u7f6e\u4fe1\u533a\u95f4<\/h3>\n<ul>\n<li><p>\u7531\u4e8e<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"41.783ex\" height=\"4.795ex\" viewBox=\"0 -1308.7 17989.8 2064.6\" role=\"img\" focusable=\"false\" style=\"vertical-align: -1.756ex;\"><defs><path stroke-width=\"0\" id=\"E1473-MJMAIN-28\" d=\"M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z\"><\/path><path stroke-width=\"0\" id=\"E1473-MJMATHI-6E\" d=\"M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 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x=\"8535\" y=\"0\"><\/use><g transform=\"translate(8813,0)\"><g transform=\"translate(286,0)\"><rect stroke=\"none\" width=\"2978\" height=\"60\" x=\"0\" y=\"220\"><\/rect><g transform=\"translate(60,581)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1473-MJMAIN-28\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1473-MJMATHI-6D\" x=\"389\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1473-MJMAIN-2212\" x=\"1267\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1473-MJMAIN-31\" x=\"2044\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1473-MJMAIN-29\" x=\"2545\" y=\"0\"><\/use><g transform=\"translate(2074,0)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1473-MJMATHI-53\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.5)\" xlink:href=\"#E1473-MJMAIN-32\" x=\"925\" y=\"610\"><\/use><use transform=\"scale(0.5)\" xlink:href=\"#E1473-MJMAIN-32\" x=\"866\" y=\"-350\"><\/use><\/g><\/g><g transform=\"translate(1126,-481)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1473-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.5)\" xlink:href=\"#E1473-MJMAIN-32\" x=\"809\" y=\"487\"><\/use><use transform=\"scale(0.5)\" xlink:href=\"#E1473-MJMAIN-32\" x=\"807\" y=\"-434\"><\/use><\/g><\/g><\/g><use xlink:href=\"#E1473-MJMAIN-223C\" x=\"12475\" y=\"0\"><\/use><g transform=\"translate(13531,0)\"><use xlink:href=\"#E1473-MJMATHI-3C7\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1473-MJMAIN-32\" x=\"885\" y=\"513\"><\/use><\/g><use xlink:href=\"#E1473-MJMAIN-28\" x=\"14611\" y=\"0\"><\/use><use xlink:href=\"#E1473-MJMATHI-6D\" x=\"15000\" y=\"0\"><\/use><use xlink:href=\"#E1473-MJMAIN-2212\" x=\"16100\" y=\"0\"><\/use><use xlink:href=\"#E1473-MJMAIN-31\" x=\"17100\" y=\"0\"><\/use><use xlink:href=\"#E1473-MJMAIN-29\" x=\"17600\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\frac{(n - 1)S^2_1}{\\sigma_1^2} \\sim \\chi^2(n - 1), \\frac{(m - 1)S^2_2}{\\sigma_2^2} \\sim \\chi^2(m - 1)<\/script>\uff0c\u6545\u53ef\u6784\u9020\u670d\u4ece<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.74ex\" height=\"1.877ex\" viewBox=\"0 -755.9 749 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.121ex;\"><defs><path stroke-width=\"0\" id=\"E1475-MJMATHI-46\" d=\"M48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 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xlink:href=\"#E1390-MJMAIN-2F\" x=\"13851\" y=\"0\"><\/use><use xlink:href=\"#E1390-MJMAIN-28\" x=\"14351\" y=\"0\"><\/use><use xlink:href=\"#E1390-MJMATHI-62\" x=\"14740\" y=\"0\"><\/use><use xlink:href=\"#E1390-MJMAIN-2212\" x=\"15392\" y=\"0\"><\/use><use xlink:href=\"#E1390-MJMATHI-61\" x=\"16392\" y=\"0\"><\/use><g transform=\"translate(16921,0)\"><use xlink:href=\"#E1390-MJMAIN-29\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1390-MJMAIN-32\" x=\"550\" y=\"583\"><\/use><\/g><use xlink:href=\"#E1390-MJMAIN-29\" x=\"17763\" y=\"0\"><\/use><\/g><\/g><\/g><\/svg><\/span><\/div><script type=\"math\/tex; mode=display\" id=\"MathJax-Element-1239\">Pr\\left[ |\\mu -\\overline{X}|\\geq \\epsilon \\right] \\leq 2exp (-2n\\epsilon ^{2}\/(b-a)^{2})<\/script><\/div><\/div>\n<p>\u4ee4<\/p>\n<div contenteditable=\"true\" spellcheck=\"false\" class=\"mathjax-block md-end-block md-math-block md-rawblock\" id=\"mathjax-n117\" cid=\"n117\" mdtype=\"math_block\"><div 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y=\"0\"><\/use><\/g><use xlink:href=\"#E1485-MJMAIN-B1\" x=\"1139\" y=\"0\"><\/use><g transform=\"translate(2139,0)\"><use xlink:href=\"#E1485-MJSZ1-221A\" x=\"0\" y=\"27\"><\/use><rect stroke=\"none\" width=\"7827\" height=\"60\" x=\"1000\" y=\"817\"><\/rect><g transform=\"translate(1000,0)\"><use xlink:href=\"#E1485-MJMAIN-28\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1485-MJMATHI-62\" x=\"389\" y=\"0\"><\/use><use xlink:href=\"#E1485-MJMAIN-2212\" x=\"1040\" y=\"0\"><\/use><use xlink:href=\"#E1485-MJMATHI-61\" x=\"2040\" y=\"0\"><\/use><g transform=\"translate(2569,0)\"><use xlink:href=\"#E1485-MJMAIN-29\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1485-MJMAIN-32\" x=\"550\" y=\"408\"><\/use><\/g><use xlink:href=\"#E1485-MJMATHI-6C\" x=\"3411\" y=\"0\"><\/use><use xlink:href=\"#E1485-MJMATHI-6E\" x=\"3709\" y=\"0\"><\/use><use xlink:href=\"#E1485-MJMAIN-28\" x=\"4309\" y=\"0\"><\/use><use xlink:href=\"#E1485-MJMAIN-32\" x=\"4698\" y=\"0\"><\/use><use xlink:href=\"#E1485-MJMAIN-2F\" x=\"5198\" y=\"0\"><\/use><use xlink:href=\"#E1485-MJMATHI-3B1\" x=\"5698\" y=\"0\"><\/use><use xlink:href=\"#E1485-MJMAIN-29\" x=\"6338\" y=\"0\"><\/use><use xlink:href=\"#E1485-MJMAIN-2F\" x=\"6727\" y=\"0\"><\/use><use xlink:href=\"#E1485-MJMATHI-6E\" x=\"7227\" y=\"0\"><\/use><\/g><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\overline{X}\\pm \\sqrt{(b-a)^{2}ln(2\/\\alpha)\/n}<\/script><\/p>\n<h3>2. \u57fa\u4e8e\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\uff08\u603b\u4f53\u671f\u671b<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.401ex\" height=\"1.801ex\" viewBox=\"0 -505.2 603 775.6\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.628ex;\"><defs><path stroke-width=\"0\" id=\"E1486-MJMATHI-3BC\" d=\"M58 -216Q44 -216 34 -208T23 -186Q23 -176 96 116T173 414Q186 442 219 442Q231 441 239 435T249 423T251 413Q251 401 220 279T187 142Q185 131 185 107V99Q185 26 252 26Q261 26 270 27T287 31T302 38T315 45T327 55T338 65T348 77T356 88T365 100L372 110L408 253Q444 395 448 404Q461 431 491 431Q504 431 512 424T523 412T525 402L449 84Q448 79 448 68Q448 43 455 35T476 26Q485 27 496 35Q517 55 537 131Q543 151 547 152Q549 153 557 153H561Q580 153 580 144Q580 138 575 117T555 63T523 13Q510 0 491 -8Q483 -10 467 -10Q446 -10 429 -4T402 11T385 29T376 44T374 51L368 45Q362 39 350 30T324 12T288 -4T246 -11Q199 -11 153 12L129 -85Q108 -167 104 -180T92 -202Q76 -216 58 -216Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1486-MJMATHI-3BC\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\mu<\/script>\uff0c\u65b9\u5dee<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.383ex\" height=\"2.344ex\" viewBox=\"0 -906.7 1025.9 1009.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1494-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z\"><\/path><path stroke-width=\"0\" id=\"E1494-MJMAIN-32\" d=\"M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 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x=\"2555\" y=\"0\"><\/use><use xlink:href=\"#E1490-MJMAIN-29\" x=\"3407\" y=\"0\"><\/use><use xlink:href=\"#E1490-MJMAIN-3D\" x=\"4073\" y=\"0\"><\/use><g transform=\"translate(5129,0)\"><use xlink:href=\"#E1490-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1490-MJMAIN-32\" x=\"809\" y=\"513\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\mathbb{VAR}(X) = \\sigma^2<\/script>\uff0c\u6709<\/p>\n<div contenteditable=\"true\" spellcheck=\"false\" class=\"mathjax-block md-end-block md-math-block md-rawblock\" id=\"mathjax-n123\" cid=\"n123\" mdtype=\"math_block\"><div class=\"md-rawblock-container md-math-container\" tabindex=\"-1\"><div class=\"MathJax_SVG_Display\"><span class=\"MathJax_SVG\" id=\"MathJax-Element-1242-Frame\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"78.56ex\" height=\"6.78ex\" viewBox=\"0 -1710.8 33824.5 2919\" role=\"img\" 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y=\"0\"><\/use><use xlink:href=\"#E1393-MJMAIN-28\" x=\"7927\" y=\"0\"><\/use><use xlink:href=\"#E1393-MJMAIN-30\" x=\"8316\" y=\"0\"><\/use><use xlink:href=\"#E1393-MJMAIN-2C\" x=\"8816\" y=\"0\"><\/use><use xlink:href=\"#E1393-MJMAIN-31\" x=\"9261\" y=\"0\"><\/use><use xlink:href=\"#E1393-MJMAIN-29\" x=\"9761\" y=\"0\"><\/use><\/g><\/g><\/g><\/g><\/svg><\/span><\/div><script type=\"math\/tex; mode=display\" id=\"MathJax-Element-1242\">W=\\frac{\\overline{X}-\\mu}{\\sigma \/ \\sqrt{n}} \\stackrel{d}{\\to} N(0,1)<\/script><\/div><\/div>\n<ul>\n<li><p>\u5f53<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.383ex\" height=\"2.344ex\" viewBox=\"0 -906.7 1025.9 1009.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1494-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 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xlink:href=\"#E1396-MJMAIN-31\" x=\"389\" y=\"0\"><\/use><use xlink:href=\"#E1396-MJMAIN-38\" x=\"889\" y=\"0\"><\/use><use xlink:href=\"#E1396-MJMAIN-29\" x=\"1389\" y=\"0\"><\/use><\/g><\/g><g transform=\"translate(12939,0)\"><g transform=\"translate(-15,0)\"><g transform=\"translate(0,-97)\"><use xlink:href=\"#E1396-MJMATHI-50\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1396-MJMATHI-72\" x=\"751\" y=\"0\"><\/use><use xlink:href=\"#E1396-MJMAIN-5B\" x=\"1202\" y=\"0\"><\/use><use xlink:href=\"#E1396-MJMATHI-3B8\" x=\"1480\" y=\"0\"><\/use><use xlink:href=\"#E1396-MJMAIN-3E\" x=\"2226\" y=\"0\"><\/use><g transform=\"translate(3282,0)\"><use xlink:href=\"#E1396-MJMATHI-3B8\" x=\"15\" y=\"0\"><\/use><use xlink:href=\"#E1396-MJMAIN-5E\" x=\"83\" y=\"249\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1396-MJMAIN-31\" x=\"824\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1396-MJMAIN-5D\" x=\"4319\" y=\"0\"><\/use><use xlink:href=\"#E1396-MJMAIN-2265\" x=\"4875\" y=\"0\"><\/use><use xlink:href=\"#E1396-MJMAIN-31\" x=\"5930\" y=\"0\"><\/use><use xlink:href=\"#E1396-MJMAIN-2212\" x=\"6653\" y=\"0\"><\/use><use xlink:href=\"#E1396-MJMATHI-3B1\" x=\"7653\" y=\"0\"><\/use><\/g><\/g><\/g><\/g><\/svg><\/span><\/div><script type=\"math\/tex; mode=display\" id=\"MathJax-Element-1245\">Pr[\\theta>\\hat{\\theta}_{1}]\\geq 1-\\alpha<\/script><\/div><\/div>\n<p>\u5219<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"9.377ex\" height=\"3.044ex\" viewBox=\"0 -1007.2 4037.5 1310.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E1497-MJMAIN-28\" d=\"M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 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x=\"2648\" y=\"0\"><\/use><use xlink:href=\"#E1497-MJMAIN-29\" x=\"3648\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">(\\hat{\\theta}_{1},+\\infty)<\/script>\u4e3a<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.089ex\" height=\"2.11ex\" viewBox=\"0 -806.1 469 908.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1498-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1498-MJMATHI-3B8\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\theta<\/script>\u7684\u7f6e\u4fe1\u5ea6\u4e3a<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"5.487ex\" height=\"2.11ex\" viewBox=\"0 -755.9 2362.4 908.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.355ex;\"><defs><path stroke-width=\"0\" id=\"E1499-MJMAIN-31\" d=\"M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z\"><\/path><path stroke-width=\"0\" id=\"E1499-MJMAIN-2212\" d=\"M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z\"><\/path><path stroke-width=\"0\" id=\"E1499-MJMATHI-3B1\" d=\"M34 156Q34 270 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inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.408ex\" height=\"2.811ex\" viewBox=\"0 -1007.2 1036.9 1210.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.472ex;\"><defs><path stroke-width=\"0\" id=\"E1500-MJMATHI-3B8\" d=\"M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z\"><\/path><path stroke-width=\"0\" id=\"E1500-MJMAIN-5E\" d=\"M112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 538L140 532Q138 530 125 546L112 560Z\"><\/path><path stroke-width=\"0\" id=\"E1500-MJMAIN-31\" d=\"M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 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x=\"1368\" y=\"0\"><\/use><use xlink:href=\"#E1502-MJMAIN-2C\" x=\"1971\" y=\"0\"><\/use><g transform=\"translate(2415,0)\"><use xlink:href=\"#E1502-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1502-MJMAIN-32\" x=\"809\" y=\"513\"><\/use><\/g><use xlink:href=\"#E1502-MJMAIN-29\" x=\"3441\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\mathcal{N}(\\mu, \\sigma^2)<\/script>\u7684\u6837\u672c\uff0c\u82e5<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.383ex\" height=\"2.344ex\" viewBox=\"0 -906.7 1025.9 1009.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1504-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z\"><\/path><path stroke-width=\"0\" id=\"E1504-MJMAIN-32\" d=\"M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1504-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1504-MJMAIN-32\" x=\"809\" y=\"513\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\sigma^2<\/script>\u5df2\u77e5\uff0c\u5219\u6784\u5efa\u67a2\u8f74\u91cf\u4e3a<\/p>\n<div contenteditable=\"true\" spellcheck=\"false\" class=\"mathjax-block md-end-block md-math-block md-rawblock\" id=\"mathjax-n140\" cid=\"n140\" mdtype=\"math_block\"><div class=\"md-rawblock-container md-math-container\" tabindex=\"-1\"><div class=\"MathJax_SVG_Display\"><span class=\"MathJax_SVG\" id=\"MathJax-Element-1246-Frame\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"78.56ex\" height=\"6.196ex\" viewBox=\"0 -1560 33824.5 2667.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -2.336ex; margin-bottom: -0.237ex; max-width: 100%;\" class=\"in-text-selection\"><defs><path stroke-width=\"0\" id=\"E1397-MJMAIN-28\" d=\"M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 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y=\"0\"><\/use><\/g><\/g><\/g><\/g><\/svg><\/span><\/div><script type=\"math\/tex; mode=display\" id=\"MathJax-Element-1246\">W = \\frac{\\bar{X} - \\mu}{\\sigma \/ \\sqrt{n}} \\sim \\mathbb{N}(0, 1),<\/script><\/div><\/div>\n<p>\u82e5<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"2.383ex\" height=\"2.344ex\" viewBox=\"0 -906.7 1025.9 1009.2\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1504-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z\"><\/path><path 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xlink:href=\"#E1511-MJSZ3-29\" x=\"7239\" y=\"-1\"><\/use><\/g><\/g><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\hat{y}^{*} \\pm t_{n-2,1-\\alpha \/2}\\cdot \\sqrt{\\hat{\\sigma}^{2}\\left(\\frac{1}{n}+\\frac{(x^{*}-\\overline{x})^{2}}{\\sum_{i=1}^{n}(x_{i}-\\overline{x})^{2}}\\right)}<\/script>\u3002<\/li>\n\n<\/ul>\n<h4>\uff082\uff09\u903b\u8f91\u56de\u5f52<\/h4>\n<ul>\n<li>\u6a21\u578b\uff1a<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"28.439ex\" height=\"2.577ex\" viewBox=\"0 -806.1 12244.3 1109.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E1512-MJMATHI-50\" d=\"M287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 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type=\"math\/tex\">P(y=1|x;\\beta)=\\sigma(\\beta_{0}+\\beta_{1}x)<\/script>\uff0c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"12.631ex\" height=\"3.511ex\" viewBox=\"0 -956.9 5438.5 1511.8\" role=\"img\" focusable=\"false\" style=\"vertical-align: -1.289ex;\"><defs><path stroke-width=\"0\" id=\"E1513-MJMATHI-3C3\" d=\"M184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278Z\"><\/path><path stroke-width=\"0\" id=\"E1513-MJMAIN-28\" d=\"M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 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transform=\"translate(3045,0)\"><use xlink:href=\"#E1514-MJMATHI-3B2\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1514-MJMATHI-6A\" x=\"800\" y=\"-213\"><\/use><\/g><use xlink:href=\"#E1514-MJMAIN-29\" x=\"4002\" y=\"0\"><\/use><use xlink:href=\"#E1514-MJMAIN-3D\" x=\"4669\" y=\"0\"><\/use><g transform=\"translate(5725,0)\"><use xlink:href=\"#E1514-MJMATHI-3B2\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1514-MJMAIN-5E\" x=\"124\" y=\"249\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1514-MJMATHI-6A\" x=\"882\" y=\"-325\"><\/use><\/g><use xlink:href=\"#E1514-MJMAIN-B1\" x=\"6963\" y=\"0\"><\/use><g transform=\"translate(7963,0)\"><use xlink:href=\"#E1514-MJMATHI-7A\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(465,-186)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1514-MJMAIN-31\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1514-MJMAIN-2212\" x=\"500\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1514-MJMATHI-3B1\" x=\"1278\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1514-MJMAIN-2F\" x=\"1918\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1514-MJMAIN-32\" x=\"2417\" y=\"0\"><\/use><\/g><\/g><use xlink:href=\"#E1514-MJMAIN-22C5\" x=\"10813\" y=\"0\"><\/use><g transform=\"translate(11314,0)\"><use xlink:href=\"#E1514-MJSZ2-221A\" x=\"0\" y=\"51\"><\/use><rect stroke=\"none\" width=\"1738\" height=\"60\" x=\"1000\" y=\"1141\"><\/rect><g transform=\"translate(1000,0)\"><use xlink:href=\"#E1514-MJSZ1-2211\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1514-MJMAIN-5E\" x=\"278\" y=\"294\"><\/use><g transform=\"translate(1056,-286)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1514-MJMATHI-6A\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1514-MJMATHI-6A\" x=\"412\" y=\"0\"><\/use><\/g><\/g><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">CI_{1-\\alpha}(\\beta_{j})=\\hat{\\beta}_{j}\\pm z_{1-\\alpha 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527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1516-MJMATHI-7A\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(465,-186)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1516-MJMAIN-31\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1516-MJMAIN-2212\" x=\"500\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1516-MJMATHI-3B1\" x=\"1278\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1516-MJMAIN-2F\" x=\"1918\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1516-MJMAIN-32\" x=\"2417\" y=\"0\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">z_{1-\\alpha \/2}<\/script>\u4e3a\u6807\u51c6\u6b63\u6001\u4e34\u754c\u503c\uff09\uff1b<\/li>\n<li>\u9884\u6d4b\u6982\u7387\u533a\u95f4\uff1a\u901a\u8fc7 delta 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y=\"0\"><\/use><g transform=\"translate(13397,0)\"><use xlink:href=\"#E1517-MJMATHI-3B2\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1517-MJMAIN-5E\" x=\"124\" y=\"249\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1517-MJMAIN-31\" x=\"882\" y=\"-325\"><\/use><\/g><g transform=\"translate(14475,0)\"><use xlink:href=\"#E1517-MJMATHI-78\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1517-MJMAIN-2217\" x=\"808\" y=\"408\"><\/use><\/g><use xlink:href=\"#E1517-MJMAIN-29\" x=\"15501\" y=\"0\"><\/use><\/g><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">SE(\\hat{p}^{*})\\approx \\sqrt{\\nabla_{\\beta}\\sigma(\\hat{\\beta}_{0}+\\hat{\\beta}_{1}x^{*})^{\\top}\\hat{\\sum}\\nabla_{\\beta}\\sigma(\\hat{\\beta}_{0}+\\hat{\\beta}_{1}x^{*})}<\/script>\uff0c\u533a\u95f4\u4e3a<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"20.615ex\" height=\"2.928ex\" 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y=\"0\"><\/use><use xlink:href=\"#E1518-MJMATHI-45\" x=\"6256\" y=\"0\"><\/use><use xlink:href=\"#E1518-MJMAIN-28\" x=\"7020\" y=\"0\"><\/use><g transform=\"translate(7409,0)\"><use xlink:href=\"#E1518-MJMATHI-70\" x=\"0\" y=\"0\"><\/use><use xlink:href=\"#E1518-MJMAIN-5E\" x=\"84\" y=\"-13\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1518-MJMAIN-2217\" x=\"827\" y=\"577\"><\/use><\/g><use xlink:href=\"#E1518-MJMAIN-29\" x=\"8447\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\hat{p}^{*} \\pm z_{1-\\alpha \/2}\\cdot SE(\\hat{p}^{*})<\/script>\u3002<\/li>\n\n<\/ul>\n<h4>\uff083\uff09\u795e\u7ecf\u7f51\u7edc<\/h4>\n<ul>\n<li>\u6a21\u578b\u5047\u8bbe\uff1a\u5355\u9690\u85cf\u5c42\u56de\u5f52\uff0c\u8f93\u51fa<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"14.419ex\" height=\"2.811ex\" viewBox=\"0 -906.7 6208.2 1210.2\" role=\"img\" focusable=\"false\" 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xlink:href=\"#E1519-MJMATHI-79\" x=\"1\" y=\"0\"><\/use><use xlink:href=\"#E1519-MJMAIN-5E\" x=\"60\" y=\"-13\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1519-MJMATHI-69\" x=\"792\" y=\"-340\"><\/use><\/g><use xlink:href=\"#E1519-MJMAIN-2C\" x=\"4348\" y=\"0\"><\/use><g transform=\"translate(4793,0)\"><use xlink:href=\"#E1519-MJMATHI-3C3\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1519-MJMAIN-32\" x=\"809\" y=\"513\"><\/use><\/g><use xlink:href=\"#E1519-MJMAIN-29\" x=\"5819\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">y_{i} \\sim N(\\hat{y}_{i}, \\sigma^{2})<\/script>\uff1b<\/li>\n<li>\u9884\u6d4b\u4e0d\u786e\u5b9a\u6027\u4f30\u8ba1\uff1a\u901a\u8fc7\u8499\u7279\u5361\u6d1b dropout\uff08MC dropout\uff09\u6216\u8d1d\u53f6\u65af\u8fd1\u4f3c\u83b7\u5f97\u6807\u51c6\u8bef<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"7.434ex\" height=\"2.577ex\" viewBox=\"0 -806.1 3200.7 1109.7\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E1520-MJMATHI-53\" d=\"M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z\"><\/path><path stroke-width=\"0\" id=\"E1520-MJMATHI-45\" d=\"M492 213Q472 213 472 226Q472 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1025.6 858.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1521-MJMATHI-78\" d=\"M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z\"><\/path><path stroke-width=\"0\" id=\"E1521-MJMAIN-2217\" d=\"M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1521-MJMATHI-78\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1521-MJMAIN-2217\" x=\"808\" y=\"513\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">x^{*}<\/script>\u8fdb\u884c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"1.635ex\" height=\"1.877ex\" viewBox=\"0 -755.9 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type=\"math\/tex\">T<\/script>\u6b21\u524d\u5411\u4f20\u64ad\uff0c\u5f97\u9884\u6d4b\u6837\u672c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"10.208ex\" height=\"2.461ex\" viewBox=\"0 -755.9 4395 1059.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.705ex;\"><defs><path stroke-width=\"0\" id=\"E1523-MJMATHI-79\" d=\"M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 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stroke-width=\"0\" id=\"E1523-MJMAIN-2E\" d=\"M78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60Z\"><\/path><path stroke-width=\"0\" id=\"E1523-MJMATHI-54\" d=\"M40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1523-MJMATHI-79\" x=\"1\" y=\"0\"><\/use><use xlink:href=\"#E1523-MJMAIN-5E\" x=\"60\" y=\"-13\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1523-MJMAIN-31\" x=\"792\" y=\"-340\"><\/use><use xlink:href=\"#E1523-MJMAIN-2C\" x=\"1013\" y=\"0\"><\/use><use xlink:href=\"#E1523-MJMAIN-2E\" x=\"1458\" y=\"0\"><\/use><use xlink:href=\"#E1523-MJMAIN-2E\" x=\"1903\" y=\"0\"><\/use><use xlink:href=\"#E1523-MJMAIN-2E\" x=\"2347\" y=\"0\"><\/use><use xlink:href=\"#E1523-MJMAIN-2C\" x=\"2792\" y=\"0\"><\/use><g transform=\"translate(3237,0)\"><use xlink:href=\"#E1523-MJMATHI-79\" x=\"1\" y=\"0\"><\/use><use xlink:href=\"#E1523-MJMAIN-5E\" x=\"60\" y=\"-13\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1523-MJMATHI-54\" x=\"792\" y=\"-340\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\hat{y}_{1},...,\\hat{y}_{T}<\/script>\uff0c\u5219<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"29.852ex\" height=\"4.679ex\" viewBox=\"0 -1359 12852.8 2014.4\" role=\"img\" focusable=\"false\" style=\"vertical-align: -1.522ex;\"><defs><path stroke-width=\"0\" id=\"E1524-MJMATHI-53\" d=\"M308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24Z\"><\/path><path stroke-width=\"0\" id=\"E1524-MJMATHI-45\" d=\"M492 213Q472 213 472 226Q472 230 477 250T482 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y=\"-340\"><\/use><\/g><use xlink:href=\"#E1524-MJMAIN-2212\" x=\"4866\" y=\"0\"><\/use><g transform=\"translate(5866,0)\"><g transform=\"translate(24,0)\"><use xlink:href=\"#E1524-MJMATHI-79\" x=\"1\" y=\"0\"><\/use><use xlink:href=\"#E1524-MJMAIN-5E\" x=\"60\" y=\"-13\"><\/use><\/g><g transform=\"translate(0,496)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1524-MJMAIN-AF\" x=\"-69\" y=\"0\"><\/use><g transform=\"translate(245.77682397829224,0) scale(0.19447945236107592,1)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1524-MJMAIN-AF\"><\/use><\/g><use transform=\"scale(0.707)\" xlink:href=\"#E1524-MJMAIN-AF\" x=\"362\" y=\"0\"><\/use><\/g><\/g><g transform=\"translate(6475,0)\"><use xlink:href=\"#E1524-MJMAIN-29\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1524-MJMAIN-32\" x=\"550\" y=\"408\"><\/use><\/g><\/g><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">SE(\\hat{y}^{*}) \\approx \\sqrt{\\frac{1}{T}\\sum_{t=1}^{T}(\\hat{y}_{t}-\\overline{\\hat{y}})^{2}}<\/script>\uff08<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"14.783ex\" height=\"3.628ex\" viewBox=\"0 -1107.7 6364.8 1562\" role=\"img\" focusable=\"false\" style=\"vertical-align: -1.055ex;\"><defs><path stroke-width=\"0\" id=\"E1525-MJMATHI-79\" d=\"M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 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y=\"-13\"><\/use><\/g><g transform=\"translate(0,496)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1525-MJMAIN-AF\" x=\"-69\" y=\"0\"><\/use><g transform=\"translate(245.77682397829224,0) scale(0.19447945236107592,1)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1525-MJMAIN-AF\"><\/use><\/g><use transform=\"scale(0.707)\" xlink:href=\"#E1525-MJMAIN-AF\" x=\"362\" y=\"0\"><\/use><\/g><use xlink:href=\"#E1525-MJMAIN-3D\" x=\"887\" y=\"0\"><\/use><g transform=\"translate(1665,0)\"><g transform=\"translate(397,0)\"><rect stroke=\"none\" width=\"617\" height=\"60\" x=\"0\" y=\"220\"><\/rect><use transform=\"scale(0.707)\" xlink:href=\"#E1525-MJMAIN-31\" x=\"186\" y=\"571\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1525-MJMATHI-54\" x=\"84\" y=\"-542\"><\/use><\/g><\/g><g transform=\"translate(2967,0)\"><use xlink:href=\"#E1525-MJSZ1-2211\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1525-MJMATHI-54\" x=\"1493\" y=\"674\"><\/use><g transform=\"translate(1056,-286)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1525-MJMATHI-74\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1525-MJMAIN-3D\" x=\"361\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1525-MJMAIN-31\" x=\"1139\" y=\"0\"><\/use><\/g><\/g><g transform=\"translate(5449,0)\"><use xlink:href=\"#E1525-MJMATHI-79\" x=\"1\" y=\"0\"><\/use><use xlink:href=\"#E1525-MJMAIN-5E\" x=\"60\" y=\"-13\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1525-MJMATHI-74\" x=\"792\" y=\"-340\"><\/use><\/g><\/g><\/svg><\/span><script type=\"math\/tex\">\\overline{\\hat{y}}=\\frac{1}{T}\\sum_{t=1}^{T}\\hat{y}_{t}<\/script>\uff09\uff1b<\/li>\n<li>\u9884\u6d4b\u533a\u95f4\uff1a<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"20.41ex\" height=\"2.928ex\" viewBox=\"0 -806.1 8787.7 1260.5\" role=\"img\" focusable=\"false\" style=\"vertical-align: -1.055ex;\"><defs><path stroke-width=\"0\" id=\"E1526-MJMATHI-79\" d=\"M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z\"><\/path><path stroke-width=\"0\" id=\"E1526-MJMAIN-5E\" d=\"M112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 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transform=\"scale(0.707)\" xlink:href=\"#E1526-MJMAIN-2217\" x=\"792\" y=\"577\"><\/use><use xlink:href=\"#E1526-MJMAIN-B1\" x=\"1235\" y=\"0\"><\/use><g transform=\"translate(2236,0)\"><use xlink:href=\"#E1526-MJMATHI-7A\" x=\"0\" y=\"0\"><\/use><g transform=\"translate(465,-186)\"><use transform=\"scale(0.707)\" xlink:href=\"#E1526-MJMAIN-31\" x=\"0\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1526-MJMAIN-2212\" x=\"500\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1526-MJMATHI-3B1\" x=\"1278\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1526-MJMAIN-2F\" x=\"1918\" y=\"0\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1526-MJMAIN-32\" x=\"2417\" y=\"0\"><\/use><\/g><\/g><use xlink:href=\"#E1526-MJMAIN-22C5\" x=\"5086\" y=\"0\"><\/use><use xlink:href=\"#E1526-MJMATHI-53\" x=\"5586\" y=\"0\"><\/use><use xlink:href=\"#E1526-MJMATHI-45\" x=\"6231\" y=\"0\"><\/use><use xlink:href=\"#E1526-MJMAIN-28\" x=\"6995\" y=\"0\"><\/use><g transform=\"translate(7384,0)\"><use xlink:href=\"#E1526-MJMATHI-79\" x=\"1\" y=\"0\"><\/use><use xlink:href=\"#E1526-MJMAIN-5E\" x=\"60\" y=\"-13\"><\/use><use transform=\"scale(0.707)\" xlink:href=\"#E1526-MJMAIN-2217\" x=\"792\" y=\"577\"><\/use><\/g><use xlink:href=\"#E1526-MJMAIN-29\" x=\"8398\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">\\hat{y}^{*} \\pm z_{1-\\alpha \/2}\\cdot SE(\\hat{y}^{*})<\/script>\uff08\u6216\u57fa\u4e8e<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"0.838ex\" height=\"1.877ex\" viewBox=\"0 -705.6 361 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1528-MJMATHI-74\" d=\"M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1528-MJMATHI-74\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">t<\/script>\u5206\u5e03\uff09\u3002<\/li>\n\n<\/ul>\n<h3>3. \u5c0f\u7ed3<\/h3>\n<figure><table>\n<thead>\n<tr><th>\u6a21\u578b<\/th><th>\u533a\u95f4\u6784\u9020\u65b9\u6cd5<\/th><\/tr><\/thead>\n<tbody><tr><td>\u7ebf\u6027\u56de\u5f52<\/td><td>\u5229\u7528\u6b8b\u5dee\u548c<span class=\"MathJax_SVG\" tabindex=\"-1\" style=\"font-size: 100%; display: inline-block;\"><svg xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"0.838ex\" height=\"1.877ex\" viewBox=\"0 -705.6 361 808.1\" role=\"img\" focusable=\"false\" style=\"vertical-align: -0.238ex;\"><defs><path stroke-width=\"0\" id=\"E1528-MJMATHI-74\" d=\"M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z\"><\/path><\/defs><g stroke=\"currentColor\" fill=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><use xlink:href=\"#E1528-MJMATHI-74\" x=\"0\" y=\"0\"><\/use><\/g><\/svg><\/span><script type=\"math\/tex\">t<\/script>\u5206\u5e03\u76f4\u63a5\u6784\u9020\u9884\u6d4b\u533a\u95f4<\/td><\/tr><tr><td>\u903b\u8f91\u56de\u5f52<\/td><td>\u57fa\u4e8e\u53c2\u6570\u534f\u65b9\u5dee\u77e9\u9635\u548c delta \u65b9\u6cd5\u8fd1\u4f3c\u83b7\u5f97\u6982\u7387\u9884\u6d4b\u533a\u95f4<\/td><\/tr><tr><td>\u795e\u7ecf\u7f51\u7edc<\/td><td>\u901a\u8fc7\u8499\u7279\u5361\u6d1b dropout \u6216\u8d1d\u53f6\u65af\u795e\u7ecf\u7f51\u7edc\u83b7\u5f97\u9884\u6d4b\u5206\u5e03\uff0c\u8fdb\u800c\u8ba1\u7b97\u9884\u6d4b\u533a\u95f4<\/td><\/tr><\/tbody>\n<\/table><\/figure>\n\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u3001\u6838\u5fc3\u6982\u5ff5 1. \u533a\u95f4\u4f30\u8ba1\u5b9a\u4e49 \u70b9\u4f30\u8ba1\u7684\u5c40\u9650\u6027\uff1a\u7528\u6837\u672c\u7edf\u8ba1\u91cf\u76f4\u63a5\u4f5c\u4e3a\u603b\u4f53\u53c2\u6570\u4f30\u8ba1\u503c\uff0c\u5b58\u5728\u4ee5\u504f\u6982\u5168\u95ee\u9898\u3002 \u533a\u95f4 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[12],"tags":[],"class_list":["post-341","post","type-post","status-publish","format-standard","hentry","category-12"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/4.189.252.43\/index.php\/wp-json\/wp\/v2\/posts\/341","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/4.189.252.43\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/4.189.252.43\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/4.189.252.43\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/4.189.252.43\/index.php\/wp-json\/wp\/v2\/comments?post=341"}],"version-history":[{"count":1,"href":"http:\/\/4.189.252.43\/index.php\/wp-json\/wp\/v2\/posts\/341\/revisions"}],"predecessor-version":[{"id":342,"href":"http:\/\/4.189.252.43\/index.php\/wp-json\/wp\/v2\/posts\/341\/revisions\/342"}],"wp:attachment":[{"href":"http:\/\/4.189.252.43\/index.php\/wp-json\/wp\/v2\/media?parent=341"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/4.189.252.43\/index.php\/wp-json\/wp\/v2\/categories?post=341"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/4.189.252.43\/index.php\/wp-json\/wp\/v2\/tags?post=341"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}