{"id":3114,"date":"2023-07-19T03:24:49","date_gmt":"2023-07-19T03:24:49","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e6%8c%87%e6%95%b0%e5%88%86%e5%b8%83python\/"},"modified":"2023-07-19T03:24:49","modified_gmt":"2023-07-19T03:24:49","slug":"%e6%8c%87%e6%95%b0%e5%88%86%e5%b8%83python","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e6%8c%87%e6%95%b0%e5%88%86%e5%b8%83python\/","title":{"rendered":"Python \u3067\u6307\u6570\u5206\u5e03\u3092\u4f7f\u7528\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u6307\u6570\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u6307\u6570\u5206\u5e03\u306f\u3001<\/a>\u7279\u5b9a\u306e\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u307e\u3067\u5f85\u6a5f\u3059\u308b\u6642\u9593\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u30e9\u30f3\u30bf\u3099\u30e0\u5909\u6570\/\" target=\"_blank\" rel=\"noopener\">\u78ba\u7387\u5909\u6570<\/a><em>X \u304c<\/em>\u6307\u6570\u5206\u5e03\u306b\u5f93\u3046\u5834\u5408\u3001<\/span> <span style=\"color: #000000;\"><em>X<\/em>\u306e\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>F<\/em> (x; \u03bb) = 1 \u2013 e <sup>-\u03bbx<\/sup><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03bb:<\/strong>\u901f\u5ea6\u30d1\u30e9\u30e1\u30fc\u30bf (\u03bb = 1\/\u03bc \u3068\u3057\u3066\u8a08\u7b97)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>e:<\/strong> 2.718 \u306b\u307b\u307c\u7b49\u3057\u3044\u5b9a\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001Python \u3067\u6307\u6570\u5206\u5e03\u3092\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><strong>\u6307\u6570\u5206\u5e03\u3092\u751f\u6210\u3059\u308b\u65b9\u6cd5<\/strong><\/h3>\n<p><span style=\"color: #000000;\">Python \u306e SciPy \u30e9\u30a4\u30d6\u30e9\u30ea\u306e<strong>expon.rvs(scale, size)<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u7279\u5b9a\u306e\u30ec\u30fc\u30c8 \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3068\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u3067\u6307\u6570\u5206\u5e03\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306a\u5024\u3092\u751f\u6210\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> expo\n\n<span style=\"color: #008080;\">#generate random values from exponential distribution with rate=40 and sample size=10<\/span>\nexpon. <span style=\"color: #3366ff;\">rvs<\/span> (scale= <span style=\"color: #008000;\">40<\/span> , size= <span style=\"color: #008000;\">10<\/span> )\n\narray([116.5368323 , 67.23514699, 12.00399043, 40.74580584,\n        34.60922432, 2.68266663, 22.70459831, 97.66661811,\n         6.64272914, 46.15547298])\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u6ce8<\/strong>: SciPy \u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u5b8c\u5168\u306a\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u306f<a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.expon.html\" target=\"_blank\" rel=\"noopener\">\u3053\u3053\u3067<\/a>\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<h3><strong>\u6307\u6570\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u9593\u6b20\u6cc9\u306e\u5674\u706b\u9593\u306e\u5e73\u5747\u5206\u6570\u304c 40 \u5206\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002\u5674\u706b\u307e\u3067\u306b 50 \u5206\u672a\u6e80\u3067\u5f85\u6a5f\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u53ef\u80fd\u6027\u306f\u3069\u306e\u304f\u3089\u3044\u3067\u3059\u304b?<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u30ec\u30fc\u30c8 \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03bb = 1\/\u03bc<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bb = 1\/40<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bb = 0.025<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u03bb = 0.025 \u3068 x = 50 \u3092 CDF \u5f0f\u306b\u4ee3\u5165\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X \u2264 x) = 1 \u2013 e <sup>-\u03bbx<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X \u2264 50) = 1 \u2013 e <sup>-0.025(50)<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X \u2264 50) = 0.7135<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5674\u706b\u307e\u3067\u306b 50 \u5206\u672a\u6e80\u5f85\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u78ba\u7387\u306f<strong>0.7135<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">SciPy \u306e<strong>expon.cdf()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001Python \u3067\u3053\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> expo\n\n<span style=\"color: #008080;\">#calculate probability that x is less than 50 when mean rate is 40<\/span>\nexpon. <span style=\"color: #3366ff;\">cdf<\/span> (x=50, scale=40)\n\n0.7134952031398099\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5674\u706b\u307e\u3067\u306b 50 \u5206\u672a\u6e80\u5f85\u305f\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u78ba\u7387\u306f<strong>0.7135<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u624b\u52d5\u3067\u8a08\u7b97\u3057\u305f\u5024\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6307\u6570\u5206\u5e03\u3092\u30d7\u30ed\u30c3\u30c8\u3059\u308b\u65b9\u6cd5<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u69cb\u6587\u3092\u4f7f\u7528\u3057\u3066\u3001\u6307\u5b9a\u3055\u308c\u305f\u30ec\u30fc\u30c8 \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3067\u6307\u6570\u5206\u5e03\u3092\u30d7\u30ed\u30c3\u30c8\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> expo\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#generate exponential distribution with sample size 10000<\/span>\nx = expon. <span style=\"color: #3366ff;\">rvs<\/span> (scale= <span style=\"color: #008000;\">40<\/span> ,size= <span style=\"color: #008000;\">10000<\/span> )\n\n<span style=\"color: #008080;\">#create plot of exponential distribution\n<\/span>plt. <span style=\"color: #3366ff;\">hist<\/span> (x, density= <span style=\"color: #008000;\">True<\/span> , edgecolor=' <span style=\"color: #ff0000;\">black<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26590 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exponentielpython1.jpg\" alt=\"\" width=\"514\" height=\"388\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001Python \u3067\u4ed6\u306e\u4e00\u822c\u7684\u306a\u30c7\u30a3\u30b9\u30c8\u30ea\u30d3\u30e5\u30fc\u30b7\u30e7\u30f3\u3092\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/ja\/\u9b5a\u306e\u5206\u5e03\u30cb\u30b7\u30ad\u30d8\u30d2\u3099\/\" target=\"_blank\" rel=\"noopener\">Python \u3067\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u3092\u4f7f\u7528\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/t-python-\u30c6\u3099\u30a3\u30b9\u30c8\u30ea\u30d2\u3099\u30e5\u30fc\u30b7\u30e7\u30f3\/\" target=\"_blank\" rel=\"noopener\">Python \u3067 t \u5206\u5e03\u3092\u4f7f\u7528\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/python\u306e\u4e00\u69d8\u5206\u5e03\/\" target=\"_blank\" rel=\"noopener\">Python \u3067\u4e00\u69d8\u5206\u5e03\u3092\u4f7f\u7528\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6307\u6570\u5206\u5e03\u306f\u3001\u7279\u5b9a\u306e\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3059\u308b\u307e\u3067\u5f85\u6a5f\u3059\u308b\u6642\u9593\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002 \u78ba\u7387\u5909\u6570X \u304c\u6307\u6570\u5206\u5e03\u306b\u5f93\u3046\u5834\u5408\u3001 X\u306e\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 F (x; \u03bb) = 1 \u2013 e &#8211; [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-3114","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python \u3067\u6307\u6570\u5206\u5e03\u3092\u4f7f\u7528\u3059\u308b\u65b9\u6cd5 - Statorials<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001Python \u3067\u6307\u6570\u5206\u5e03\u3092\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u3092\u3044\u304f\u3064\u304b\u306e\u4f8b\u3068\u3068\u3082\u306b\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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