{"id":1409,"date":"2023-07-26T12:12:07","date_gmt":"2023-07-26T12:12:07","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e8%a8%98%e6%86%b6%e3%81%ae%e3%81%aa%e3%81%84%e8%b2%a1%e7%94%a3\/"},"modified":"2023-07-26T12:12:07","modified_gmt":"2023-07-26T12:12:07","slug":"%e8%a8%98%e6%86%b6%e3%81%ae%e3%81%aa%e3%81%84%e8%b2%a1%e7%94%a3","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e8%a8%98%e6%86%b6%e3%81%ae%e3%81%aa%e3%81%84%e8%b2%a1%e7%94%a3\/","title":{"rendered":"\u8a18\u61b6\u306e\u306a\u3044\u8ca1\u7523\u3068\u306f\u4f55\u3067\u3059\u304b\uff1f (\u5b9a\u7fa9&amp;#038;\u4f8b)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7d71\u8a08\u5b66\u3067\u306f\u3001\u5c06\u6765\u306e\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u304c\u904e\u53bb\u306e\u30a4\u30d9\u30f3\u30c8\u306e\u767a\u751f\u306b\u3088\u3063\u3066\u5f71\u97ff\u3055\u308c\u306a\u3044\u5834\u5408\u3001\u78ba\u7387\u5206\u5e03<strong>\u306f\u8a18\u61b6\u3092\u6301\u305f\u306a\u3044\u7279\u6027<\/strong>\u3092\u6301\u3064\u3068\u8a00\u308f\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8a18\u61b6\u306e\u306a\u3044\u7279\u6027\u3092\u6301\u3064\u78ba\u7387\u5206\u5e03\u306f 2 \u3064\u3060\u3051\u3067\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u975e\u8ca0\u306e\u5b9f\u6570\u306b\u3088\u308b<a href=\"https:\/\/statorials.org\/ja\/\u6307\u6570\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u6307\u6570\u5206\u5e03<\/a>\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u975e\u8ca0\u306e\u6574\u6570\u306b\u3088\u308b<a href=\"https:\/\/statorials.org\/ja\/\u5e7e\u4f55\u5206\u5e03\/\" target=\"_blank\" rel=\"noopener\">\u5e7e\u4f55\u5206\u5e03<\/a>\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u308c\u3089 2 \u3064\u306e\u78ba\u7387\u5206\u5e03\u306f\u3001\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u307e\u3067\u306e\u4e88\u60f3\u6642\u9593\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u6642\u70b9\u3067\u3001\u3059\u3067\u306b\u3069\u308c\u304f\u3089\u3044\u306e\u6642\u9593\u304c\u7d4c\u904e\u3057\u305f\u304b\u3092\u77e5\u3063\u3066\u3044\u3066\u3082\u3001\u5b9f\u969b\u306b\u306f\u3001\u3042\u308b\u51fa\u6765\u4e8b\u304c\u65e9\u304f\u8d77\u3053\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u304b\u3001\u305d\u308c\u3068\u3082\u9045\u304f\u306a\u308b\u304b\u306f\u308f\u304b\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u8a18\u61b6\u306e\u306a\u3044\u7279\u6027\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8a18\u61b6\u3092\u6301\u305f\u306a\u3044\u8ca1\u7523\u306e\u76f4\u89b3<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u8a18\u61b6\u304c\u306a\u3044\u308f\u3051\u3067\u306f\u306a\u3044<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u30d6\u30e9\u30f3\u30c9\u306e\u30e9\u30c3\u30d7\u30c8\u30c3\u30d7\u306f\u5bff\u547d\u304c\u6765\u308b\u307e\u3067\u306b\u5e73\u5747\u7d04 6 \u5e74\u304b\u304b\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7279\u5b9a\u306e\u30e9\u30c3\u30d7\u30c8\u30c3\u30d7\u304c 5 \u5e74\u524d\u306e\u3082\u306e\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u306e\u30e9\u30c3\u30d7\u30c8\u30c3\u30d7\u304c\u4f7f\u7528\u3067\u304d\u306a\u304f\u306a\u308b\u307e\u3067\u306e\u4e88\u60f3\u6642\u9593\u306f\u975e\u5e38\u306b\u77ed\u304f\u306a\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u5225\u306e\u30e9\u30c3\u30d7\u30c8\u30c3\u30d7\u304c\u307e\u3060 1 \u5e74\u3057\u304b\u4f7f\u7528\u3057\u3066\u3044\u306a\u3044\u5834\u5408\u3001\u6545\u969c\u3059\u308b\u307e\u3067\u306e\u4e88\u60f3\u3055\u308c\u308b\u6642\u9593\u306f\u304b\u306a\u308a\u9577\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u4f8b\u3067\u306f\u3001\u5404\u30e9\u30c3\u30d7\u30c8\u30c3\u30d7\u306e\u5bff\u547d\u4e2d\u306b\u7d4c\u904e\u3057\u305f\u6642\u9593\u304c\u308f\u304b\u308c\u3070\u3001\u30e9\u30c3\u30d7\u30c8\u30c3\u30d7\u304c\u6545\u969c\u3059\u308b\u307e\u3067\u3069\u306e\u304f\u3089\u3044\u306e\u6642\u9593\u52d5\u4f5c\u3057\u7d9a\u3051\u308b\u304b\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u78ba\u7387\u5206\u5e03\u306f\u8a18\u61b6\u304c\u306a\u3051\u308c\u3070\u6027\u8cea\u3092\u6301\u3061\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u8a18\u61b6\u306a\u3057<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u30b8\u30a7\u30b7\u30ab\u306f\u30b3\u30f3\u30d3\u30cb\u30a8\u30f3\u30b9\u30b9\u30c8\u30a2\u3092\u7d4c\u55b6\u3057\u3066\u3044\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u5f7c\u5973\u306f\u3001\u6b21\u306e\u9867\u5ba2\u304c\u5e97\u306b\u5165\u308b\u307e\u3067\u3069\u308c\u304f\u3089\u3044\u5f85\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u304b\u3092\u77e5\u308a\u305f\u3044\u3068\u8003\u3048\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u4f8b\u3067\u306f\u3001\u5404\u9867\u5ba2\u306f\u72ec\u7acb\u3057\u3066\u304a\u308a\u3001\u500b\u5225\u306e\u884c\u52d5\u3092\u793a\u3059\u305f\u3081\u3001\u6700\u5f8c\u306e\u9867\u5ba2\u304c\u3044\u3064\u5e97\u8217\u306b\u5165\u5e97\u3057\u305f\u304b\u3092\u77e5\u3063\u3066\u3044\u3066\u3082\u3001\u6b21\u306e\u9867\u5ba2\u304c\u3044\u3064\u5165\u5e97\u3059\u308b\u304b\u3092\u4e88\u6e2c\u3059\u308b\u306e\u306b\u306f\u3042\u307e\u308a\u5f79\u306b\u7acb\u3061\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u78ba\u7387\u5206\u5e03\u306f\u8a18\u61b6\u3092\u6301\u305f\u306a\u3044\u6027\u8cea\u3092\u6301\u3064\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u5c06\u6765\u306e\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u78ba\u7387\u306f\u3001\u904e\u53bb\u306e\u30a4\u30d9\u30f3\u30c8\u306e\u767a\u751f\u306b\u306f\u5f71\u97ff\u3055\u308c\u307e\u305b\u3093\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8a18\u61b6\u3092\u6301\u305f\u306a\u3044\u6027\u8cea: \u6b63\u5f0f\u306a\u5b9a\u7fa9<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b63\u5f0f\u306a\u7d71\u8a08\u7528\u8a9e\u3067\u306f\u3001 <em>a<\/em>\u3068<em>b<\/em>\u306e\u5834\u5408\u3001<a href=\"https:\/\/statorials.org\/ja\/\u30e9\u30f3\u30bf\u3099\u30e0\u5909\u6570\/\" target=\"_blank\" rel=\"noopener\">\u78ba\u7387\u5909\u6570<\/a><em>X \u306f<\/em>\u8a18\u61b6\u3092\u6301\u305f\u306a\u3044\u6027\u8cea\u3092\u6301\u3064\u78ba\u7387\u5206\u5e03\u306b\u5f93\u3046\u3068\u8a00\u308f\u308c\u307e\u3059\u3002 <em><strong>&nbsp;<\/strong><\/em> {0, 1, 2, \u2026} \u3067\u306f\u6b21\u306e\u3053\u3068\u304c\u5f53\u3066\u306f\u307e\u308a\u307e\u3059:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Pr(X &gt; <em>a<\/em> + <em>b<\/em> | X \u2265 <em>a<\/em> ) = Pr(X &gt; <em>b<\/em> )<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u8a18\u61b6\u306e\u306a\u3044\u7279\u6027\u3092\u6301\u3064\u78ba\u7387\u5206\u5e03\u304c\u3042\u308a\u3001 <em>X<\/em>\u304c\u6700\u521d\u306e\u6210\u529f\u307e\u3067\u306e\u8a66\u884c\u56de\u6570\u3067\u3042\u308b\u3068\u3057\u307e\u3059\u3002 <em>a<\/em> = 30\u3001 <em>b<\/em> = 10 \u306e\u5834\u5408\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pr(X &gt; <em>a<\/em> + <em>b<\/em> | X \u2265 <em>a<\/em> ) = Pr(X &gt; <em>b<\/em> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">Pr(X &gt; 30 + 10 | X \u2265 <em>30<\/em> ) = Pr(X &gt; 10)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Pr(X &gt; 40 | X \u2265 <em>30<\/em> ) = Pr(X &gt; 10)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u5931\u6557\u3057\u305f\u8a66\u884c\u304c 30 \u56de\u3042\u308b\u5834\u5408\u3001\u6210\u529f\u3092\u7d4c\u9a13\u3059\u308b\u305f\u3081\u306b\u8a66\u884c #40 \u4ee5\u964d\u307e\u3067\u5f85\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u78ba\u7387\u306f\u3001\u6700\u521d\u304b\u3089\u958b\u59cb\u3057\u3066\u8a66\u884c #10 \u307e\u3067\u5f85\u3064\u78ba\u7387\u3068\u540c\u3058\u3067\u3059\u3002\u307e\u305f\u306f\u305d\u308c\u4ee5\u4e0a\u306e\u6210\u529f\u3092\u76ee\u6307\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u78ba\u7387\u5206\u5e03\u306b\u306f\u8a18\u61b6\u3092\u6301\u305f\u306a\u3044\u6027\u8cea\u304c\u3042\u308b\u305f\u3081\u3001\u3042\u308b\u6642\u70b9\u307e\u3067\u306e\u5931\u6557\u306e\u56de\u6570\u304c\u308f\u304b\u3063\u3066\u3082\u3001\u5c06\u6765\u306e\u5931\u6557\u306e\u78ba\u7387\u306b\u3064\u3044\u3066\u306f\u5206\u304b\u3089\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8a18\u61b6\u306e\u306a\u3044\u30d7\u30ed\u30d1\u30c6\u30a3: \u4f8b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">1 \u6642\u9593\u3042\u305f\u308a\u5e73\u5747 30 \u4eba\u306e\u9867\u5ba2\u304c\u5e97\u8217\u306b\u5165\u5e97\u3057\u3001\u5230\u7740\u307e\u3067\u306e\u6642\u9593\u304c\u6307\u6570\u95a2\u6570\u7684\u306b\u5206\u6563\u3059\u308b\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002\u9023\u7d9a\u3059\u308b\u8a2a\u554f\u306e\u9593\u306b\u306f\u5e73\u5747\u3057\u3066 2 \u5206\u304c\u7d4c\u904e\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u5f8c\u306e\u9867\u5ba2\u304c\u5230\u7740\u3057\u3066\u304b\u3089 10 \u5206\u304c\u7d4c\u904e\u3057\u305f\u3068\u3057\u307e\u3059\u3002\u3053\u308c\u304c\u7570\u5e38\u306b\u9577\u3044\u6642\u9593\u3092\u8003\u3048\u308b\u3068\u3001\u9867\u5ba2\u306f 1 \u5206\u4ee5\u5185\u306b\u5230\u7740\u3059\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u3068\u601d\u308f\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u304b\u3057\u3001\u6307\u6570\u5206\u5e03\u306b\u306f\u8a18\u61b6\u3092\u6301\u305f\u306a\u3044\u6027\u8cea\u304c\u3042\u308b\u305f\u3081\u3001\u305d\u3046\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u6b21\u306e\u9867\u5ba2\u304c\u5230\u7740\u3059\u308b\u307e\u3067\u306e\u5f85\u3061\u6642\u9593\u306f\u3001\u6700\u5f8c\u306e\u9867\u5ba2\u304c\u5230\u7740\u3057\u3066\u304b\u3089\u306e\u6642\u9593\u306b\u306f\u4f9d\u5b58\u3057\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u6307\u6570\u5206\u5e03\u306e CDF \u3092\u4f7f\u7528\u3057\u3066\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>CDF:<\/strong> 1 \u2013 e <sup>-\u03bbx<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u3001\u03bb \u306f 1\/\u5e73\u5747\u5230\u7740\u9593\u9694\u6642\u9593\u3068\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u4f8b\u3067\u306f\u3001\u03bb = 1\/2 = 0.5 \u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>a<\/em> = 10\u3001 <em>b<\/em> = 1 \u3068\u8a2d\u5b9a\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pr(X &gt; <em>a<\/em> + <em>b<\/em> | X \u2265 <em>a<\/em> ) = Pr(X &gt; <em>b<\/em> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">Pr( <sup>X<\/sup> &gt; 10 + 1 |<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6700\u5f8c\u306e\u9867\u5ba2\u304c\u5230\u7740\u3057\u3066\u304b\u3089\u3069\u308c\u3060\u3051\u306e\u6642\u9593\u304c\u7d4c\u904e\u3057\u305f\u304b\u306b\u95a2\u4fc2\u306a\u304f\u3001\u6b21\u306e\u9867\u5ba2\u304c\u5230\u7740\u3059\u308b\u307e\u3067\u306b 1 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