{"id":3119,"date":"2023-07-19T03:24:49","date_gmt":"2023-07-19T03:24:49","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%8c%87%e6%95%b0%e5%88%86%e5%b8%83-python\/"},"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%83-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%8c%87%e6%95%b0%e5%88%86%e5%b8%83-python\/","title":{"rendered":"\u5982\u4f55\u5728 python \u4e2d\u4f7f\u7528\u6307\u6570\u5206\u5e03"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u6307\u6570\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u6307\u6570\u5206\u5e03<\/a>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u7528\u4e8e\u5bf9\u6211\u4eec\u5fc5\u987b\u7b49\u5f85\u7279\u5b9a\u4e8b\u4ef6\u53d1\u751f\u7684\u65f6\u95f4\u8fdb\u884c\u5efa\u6a21\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c<a href=\"https:\/\/statorials.org\/cn\/\u968f\u673a\u53d8\u91cf-1\/\" target=\"_blank\" rel=\"noopener\">\u968f\u673a\u53d8\u91cf<\/a><em>X<\/em>\u670d\u4ece\u6307\u6570\u5206\u5e03\uff0c\u5219<\/span><span style=\"color: #000000;\"><em>X<\/em>\u7684\u7d2f\u79ef\u5206\u5e03\u51fd\u6570\u53ef\u4ee5\u5199\u4e3a\uff1a<\/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\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03bb\uff1a<\/strong>\u901f\u7387\u53c2\u6570\uff08\u8ba1\u7b97\u516c\u5f0f\u4e3a \u03bb = 1\/\u03bc\uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>e\uff1a<\/strong>\u7ea6\u7b49\u4e8e 2.718 \u7684\u5e38\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Python \u4e2d\u4f7f\u7528\u6307\u6570\u5206\u5e03\u3002<\/span><\/p>\n<h3><strong>\u5982\u4f55\u751f\u6210\u6307\u6570\u5206\u5e03<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u60a8\u53ef\u4ee5\u4f7f\u7528 Python \u4e2d SciPy \u5e93\u4e2d\u7684<strong>expon.rvs(scale, size)<\/strong>\u51fd\u6570\u4ece\u5177\u6709\u7279\u5b9a\u901f\u7387\u53c2\u6570\u548c\u6837\u672c\u5927\u5c0f\u7684\u6307\u6570\u5206\u5e03\u751f\u6210\u968f\u673a\u503c\uff1a<\/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\u610f<\/strong>\uff1a\u60a8\u53ef\u4ee5<a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.expon.html\" target=\"_blank\" rel=\"noopener\">\u5728\u6b64\u5904<\/a>\u627e\u5230\u5b8c\u6574\u7684 SciPy \u5e93\u6587\u6863\u3002<\/span><\/p>\n<h3><strong>\u5982\u4f55\u4f7f\u7528\u6307\u6570\u5206\u5e03\u8ba1\u7b97\u6982\u7387<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u67d0\u4e2a\u95f4\u6b47\u6cc9\u55b7\u53d1\u7684\u5e73\u5747\u5206\u949f\u6570\u4e3a 40 \u5206\u949f\u3002\u6211\u4eec\u7b49\u5f85\u4e0d\u5230 50 \u5206\u949f\u5c31\u4f1a\u7206\u53d1\u7684\u53ef\u80fd\u6027\u6709\u591a\u5927\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u9996\u5148\u9700\u8981\u8ba1\u7b97\u901f\u7387\u53c2\u6570\uff1a<\/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;\">\u6211\u4eec\u53ef\u4ee5\u5c06 \u03bb = 0.025 \u548c x = 50 \u4ee3\u5165 CDF \u516c\u5f0f\uff1a<\/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\u226450)=0.7135<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u9700\u8981\u7b49\u5f85\u4e0d\u5230 50 \u5206\u949f\u624d\u80fd\u770b\u5230\u4e0b\u4e00\u6b21\u55b7\u53d1\u7684\u6982\u7387\u662f<strong>0.7135<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u5728Python\u4e2d\u4f7f\u7528SciPy\u7684<strong>expon.cdf()<\/strong>\u51fd\u6570\u6765\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff1a<\/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;\">\u6211\u4eec\u9700\u8981\u7b49\u5f85\u4e0d\u5230 50 \u5206\u949f\u624d\u80fd\u770b\u5230\u4e0b\u4e00\u6b21\u55b7\u53d1\u7684\u6982\u7387\u662f<strong>0.7135<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u5bf9\u5e94\u4e8e\u6211\u4eec\u624b\u52a8\u8ba1\u7b97\u7684\u503c\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5982\u4f55\u7ed8\u5236\u6307\u6570\u5206\u5e03<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u60a8\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\u6765\u7ed8\u5236\u5177\u6709\u7ed9\u5b9a\u901f\u7387\u53c2\u6570\u7684\u6307\u6570\u5206\u5e03\uff1a<\/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>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5982\u4f55\u5728 Python \u4e2d\u4f7f\u7528\u5176\u4ed6\u5e38\u89c1\u53d1\u884c\u7248\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u9c7c\u7c7b\u5206\u5e03-\u87d2\u86c7\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728Python\u4e2d\u4f7f\u7528\u6cca\u677e\u5206\u5e03<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/t-python-\u5206\u5e03\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728Python\u4e2d\u4f7f\u7528t\u5206\u5e03<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/python-\u5747\u5300\u5206\u5e03\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Python \u4e2d\u4f7f\u7528\u5747\u5300\u5206\u5e03<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6307\u6570\u5206\u5e03\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u7528\u4e8e\u5bf9\u6211\u4eec\u5fc5\u987b\u7b49\u5f85\u7279\u5b9a\u4e8b\u4ef6\u53d1\u751f\u7684\u65f6\u95f4\u8fdb\u884c\u5efa\u6a21\u3002 \u5982\u679c\u968f\u673a\u53d8\u91cfX\u670d\u4ece\u6307\u6570\u5206\u5e03\uff0c\u5219X\u7684\u7d2f\u79ef [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-3119","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u5982\u4f55\u5728 Python \u4e2d\u4f7f\u7528\u6307\u6570\u5206\u5e03 - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u51e0\u4e2a\u793a\u4f8b\u89e3\u91ca\u4e86\u5982\u4f55\u5728 Python \u4e2d\u4f7f\u7528\u6307\u6570\u5206\u5e03\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/\u6307\u6570\u5206\u5e03-python\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" 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