{"id":240,"date":"2023-08-03T18:40:24","date_gmt":"2023-08-03T18:40:24","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%a6%82%e7%8e%87%e5%88%86%e5%b8%83%e7%9a%84%e7%b1%bb%e5%9e%8b\/"},"modified":"2023-08-03T18:40:24","modified_gmt":"2023-08-03T18:40:24","slug":"%e6%a6%82%e7%8e%87%e5%88%86%e5%b8%83%e7%9a%84%e7%b1%bb%e5%9e%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%a6%82%e7%8e%87%e5%88%86%e5%b8%83%e7%9a%84%e7%b1%bb%e5%9e%8b\/","title":{"rendered":"\u6982\u7387\u5206\u5e03\u7684\u7c7b\u578b"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u4e0d\u540c\u7c7b\u578b\u7684\u6982\u7387\u5206\u5e03\u3002\u6240\u4ee5\u4f60\u4f1a\u53d1\u73b0\u6709\u591a\u5c11\u79cd\u6982\u7387\u5206\u5e03\u4ee5\u53ca\u5b83\u4eec\u4e4b\u95f4\u6709\u4ec0\u4e48\u533a\u522b\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-los-tipos-de-distribuciones-de-probabilidad\"><\/span>\u6982\u7387\u5206\u5e03\u6709\u54ea\u4e9b\u7c7b\u578b\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6982\u7387\u5206\u5e03\u7684\u7c7b\u578b<\/strong>\u6709\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:30px\"> <span style=\"color:#101010;font-weight: normal;\"><strong><a href=\"https:\/\/statorials.org\/cn\/\u79bb\u6563\u6982\u7387\u5206\u5e03\/\">\u79bb\u6563\u6982\u7387\u5206\u5e03<\/a>\uff1a<\/strong><\/span>\n<ul style=\"color:#FF8A05; font-weight: bold; margin-left:8%; list-style-type:circle\">\n<li style=\"margin-bottom:10px; margin-top:10px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u79bb\u6563\u5747\u5300\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px; margin-top:10px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4f2f\u52aa\u5229\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px; margin-top:10px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e8c\u9879\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px; margin-top:10px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u9c7c\u7c7b\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px; margin-top:10px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u591a\u9879\u5f0f\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px; margin-top:10px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u51e0\u4f55\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px; margin-top:10px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u8d1f\u4e8c\u9879\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px; margin-top:10px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u8d85\u51e0\u4f55\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<\/ul>\n<\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong><a href=\"https:\/\/statorials.org\/cn\/\u8fde\u7eed\u6982\u7387\u5206\u5e03\/\">\u8fde\u7eed\u6982\u7387\u5206\u5e03<\/a>\uff1a<\/strong><\/span> <\/li>\n<ul style=\"color:#FF8A05; font-weight: bold; margin-left:8%; list-style-type:circle\">\n<li style=\"margin-bottom:10px; margin-top:10px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5747\u5300\u8fde\u7eed\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px;\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u6b63\u6001\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px;\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5bf9\u6570\u6b63\u6001\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px;\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5361\u65b9\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px;\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5b66\u751f t \u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px;\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5206\u9500 Snedecor F.<\/strong><\/span><\/li>\n<li style=\"margin-bottom:10px;\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u6307\u6570\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px;\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u8d1d\u5854\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px;\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4f3d\u739b\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px;\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5a01\u5e03\u5c14\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px;\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5e15\u7d2f\u6258\u5206\u5e03<\/strong>\u3002<\/span><\/li>\n<\/ul>\n<\/ul>\n<p>\u4e0b\u9762\u8be6\u7ec6\u89e3\u91ca\u6bcf\u79cd\u7c7b\u578b\u7684\u6982\u7387\u5206\u5e03\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribuciones-de-probabilidad-discretas\"><\/span>\u79bb\u6563\u6982\u7387\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u79bb\u6563\u6982\u7387\u5206\u5e03<\/strong>\u662f\u5b9a\u4e49\u79bb\u6563\u968f\u673a\u53d8\u91cf\u7684\u6982\u7387\u7684\u5206\u5e03\u3002\u56e0\u6b64\uff0c\u79bb\u6563\u6982\u7387\u5206\u5e03\u53ea\u80fd\u53d6\u6709\u9650\u4e2a\u503c\uff08\u901a\u5e38\u662f\u6574\u6570\u503c\uff09\u3002 <\/p>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-uniforme-discreta\"><\/span>\u79bb\u6563\u5747\u5300\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u79bb\u6563\u5747\u5300\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u79bb\u6563\u6982\u7387\u5206\u5e03\uff0c\u5176\u4e2d\u6240\u6709\u503c\u90fd\u662f\u7b49\u6982\u7387\u7684\uff0c\u5373\u5728\u79bb\u6563\u5747\u5300\u5206\u5e03\u4e2d\uff0c\u6240\u6709\u503c\u51fa\u73b0\u7684\u6982\u7387\u76f8\u540c\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u9ab0\u5b50\u7684\u6eda\u52a8\u53ef\u4ee5\u7528\u79bb\u6563\u5747\u5300\u5206\u5e03\u6765\u5b9a\u4e49\uff0c\u56e0\u4e3a\u6240\u6709\u53ef\u80fd\u7684\u7ed3\u679c\uff081\u30012\u30013\u30014\u30015 \u6216 6\uff09\u5177\u6709\u76f8\u540c\u7684\u53d1\u751f\u6982\u7387\u3002<\/p>\n<p>\u4e00\u822c\u6765\u8bf4\uff0c\u79bb\u6563\u5747\u5300\u5206\u5e03\u6709\u4e24\u4e2a\u7279\u5f81\u53c2\u6570<em>a<\/em>\u548c<em>b<\/em> \uff0c\u5b83\u4eec\u5b9a\u4e49\u4e86\u5206\u5e03\u53ef\u4ee5\u53d6\u7684\u53ef\u80fd\u503c\u7684\u8303\u56f4\u3002\u56e0\u6b64\uff0c\u5f53\u53d8\u91cf\u7531\u79bb\u6563\u5747\u5300\u5206\u5e03\u5b9a\u4e49\u65f6\uff0c\u5b83\u88ab\u5199\u4e3a<em>Uniform(a,b)<\/em> \u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9977cf21c766a3d0ee2d79c8210dc598_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Uniforme}(a,b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"150\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u79bb\u6563\u5747\u5300\u5206\u5e03\u53ef\u4ee5\u7528\u6765\u63cf\u8ff0\u968f\u673a\u5b9e\u9a8c\uff0c\u56e0\u4e3a\u5982\u679c\u6240\u6709\u7ed3\u679c\u5177\u6709\u76f8\u540c\u7684\u6982\u7387\uff0c\u5219\u610f\u5473\u7740\u5b9e\u9a8c\u5b58\u5728\u968f\u673a\u6027\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u79bb\u6563\u5747\u5300\u5206\u5e03\/\">\u79bb\u6563\u5747\u5300\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-de-bernoulli\"><\/span>\u4f2f\u52aa\u5229\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u4f2f\u52aa\u5229\u5206\u5e03<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u4e8c\u5206\u5206\u5e03<\/strong>\uff0c\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u8868\u793a\u53ea\u80fd\u6709\u4e24\u79cd\u7ed3\u679c\u7684\u79bb\u6563\u53d8\u91cf\uff1a\u201c\u6210\u529f\u201d\u6216\u201c\u5931\u8d25\u201d\u3002<\/p>\n<p>\u5728\u4f2f\u52aa\u5229\u5206\u5e03\u4e2d\uff0c\u201c\u6210\u529f\u201d\u662f\u6211\u4eec\u671f\u671b\u7684\u7ed3\u679c\uff0c\u5176\u503c\u4e3a 1\uff0c\u800c\u201c\u5931\u8d25\u201d\u7684\u7ed3\u679c\u662f\u4e0e\u9884\u671f\u4e0d\u540c\u7684\u7ed3\u679c\uff0c\u5176\u503c\u4e3a 0\u3002\u56e0\u6b64\uff0c\u5982\u679c\u201c\u7ed3\u679c\u7684\u6982\u7387\u201d \u201c\u6210\u529f\u201d\u7684\u7ed3\u679c\u4e3a<em>p<\/em> \uff0c\u201c\u5931\u8d25\u201d\u7ed3\u679c\u7684\u6982\u7387\u4e3a<em>q=1-p<\/em> \u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-384fd7d96d4d6584739b04a6e331b251_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim \\text{Bernoulli}(p)\\\\[2ex]\\begin{array}{l} \\text{\\'Exito}\\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ P[X=1]=p\\\\[2ex]\\text{Fracaso}\\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ P[X=0]=q=1-p\\end{array}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"361\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4f2f\u52aa\u5229\u5206\u5e03\u4ee5\u745e\u58eb\u7edf\u8ba1\u5b66\u5bb6\u96c5\u5404\u5e03\u00b7\u4f2f\u52aa\u5229\u7684\u540d\u5b57\u547d\u540d\u3002<\/p>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u4f2f\u52aa\u5229\u5206\u5e03\u4e3b\u8981\u6709\u4e00\u4e2a\u5e94\u7528\uff1a\u5b9a\u4e49\u5b9e\u9a8c\u7684\u6982\u7387\uff0c\u5176\u4e2d\u53ea\u6709\u4e24\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff1a\u6210\u529f\u548c\u5931\u8d25\u3002\u56e0\u6b64\uff0c\u4f7f\u7528\u4f2f\u52aa\u5229\u5206\u5e03\u7684\u5b9e\u9a8c\u79f0\u4e3a\u4f2f\u52aa\u5229\u6d4b\u8bd5\u6216\u4f2f\u52aa\u5229\u5b9e\u9a8c\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u4f2f\u52aa\u5229\u5206\u5e03\/\">\u4f2f\u52aa\u5229\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-binomial\"><\/span>\u4e8c\u9879\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u4e8c\u9879\u5206\u5e03<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u4e8c\u9879\u5206\u5e03<\/strong>\uff0c\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u5728\u4ee5\u6052\u5b9a\u7684\u6210\u529f\u6982\u7387\u8fdb\u884c\u4e00\u7cfb\u5217\u72ec\u7acb\u7684\u4e8c\u5206\u5b9e\u9a8c\u65f6\uff0c\u7edf\u8ba1\u6210\u529f\u7684\u6b21\u6570\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u4e8c\u9879\u5206\u5e03\u662f\u63cf\u8ff0\u4e00\u7cfb\u5217\u4f2f\u52aa\u5229\u8bd5\u9a8c\u7684\u6210\u529f\u7ed3\u679c\u6570\u91cf\u7684\u5206\u5e03\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u4e00\u679a\u786c\u5e01\u51fa\u73b0 25 \u6b21\u6b63\u9762\u7684\u6b21\u6570\u5c31\u662f\u4e8c\u9879\u5f0f\u5206\u5e03\u3002<\/p>\n<p>\u4e00\u822c\u6765\u8bf4\uff0c\u6267\u884c\u7684\u5b9e\u9a8c\u603b\u6570\u7531\u53c2\u6570<em>n<\/em>\u5b9a\u4e49\uff0c\u800c<em>p<\/em>\u662f\u6bcf\u4e2a\u5b9e\u9a8c\u6210\u529f\u7684\u6982\u7387\u3002\u56e0\u6b64\uff0c\u670d\u4ece\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\u53ef\u5199\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2f2b2be5bfe6c63bd13c552f4c893f59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Bin}(n,p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5728\u4e8c\u9879\u5206\u5e03\u4e2d\uff0c\u5b8c\u5168\u76f8\u540c\u7684\u5b9e\u9a8c\u91cd\u590d<em>n<\/em>\u6b21\uff0c\u5e76\u4e14\u5b9e\u9a8c\u5f7c\u6b64\u72ec\u7acb\uff0c\u56e0\u6b64\u6bcf\u4e2a\u5b9e\u9a8c\u6210\u529f\u7684\u6982\u7387\u662f\u76f8\u540c\u7684<em>(p)<\/em> \u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u9879\u5206\u5e03-1\/\">\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-de-poisson\"><\/span>\u9c7c\u7c7b\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u6cca\u677e\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u5b9a\u4e49\u4e86\u4e00\u6bb5\u65f6\u95f4\u5185\u53d1\u751f\u4e00\u5b9a\u6570\u91cf\u4e8b\u4ef6\u7684\u6982\u7387\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u6cca\u677e\u5206\u5e03\u7528\u4e8e\u5bf9\u968f\u673a\u53d8\u91cf\u8fdb\u884c\u5efa\u6a21\uff0c\u8fd9\u4e9b\u968f\u673a\u53d8\u91cf\u63cf\u8ff0\u73b0\u8c61\u5728\u65f6\u95f4\u95f4\u9694\u5185\u91cd\u590d\u7684\u6b21\u6570\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u7535\u8bdd\u4ea4\u6362\u673a\u6bcf\u5206\u949f\u63a5\u6536\u7684\u547c\u53eb\u6570\u91cf\u662f\u4e00\u4e2a\u79bb\u6563\u968f\u673a\u53d8\u91cf\uff0c\u53ef\u4ee5\u4f7f\u7528\u6cca\u677e\u5206\u5e03\u6765\u5b9a\u4e49\u3002<\/p>\n<p>\u6cca\u677e\u5206\u5e03\u6709\u4e00\u4e2a\u7279\u5f81\u53c2\u6570\uff0c\u7528\u5e0c\u814a\u5b57\u6bcd \u03bb \u8868\u793a\uff0c\u8868\u793a\u6240\u7814\u7a76\u7684\u4e8b\u4ef6\u5728\u7ed9\u5b9a\u65f6\u95f4\u95f4\u9694\u5185\u9884\u8ba1\u53d1\u751f\u7684\u6b21\u6570\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be6e10a2b0137ec81fc7d366f237d1b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Poisson}(\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u9c7c\u7c7b\u6cd5\/\">\u6cca\u677e\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-multinomial\"><\/span>\u591a\u9879\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u591a\u9879\u5f0f\u5206\u5e03<\/strong>\uff08\u6216<strong>\u591a\u9879\u5f0f\u5206\u5e03<\/strong>\uff09\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u63cf\u8ff0\u5728\u6267\u884c\u591a\u6b21\u8bd5\u9a8c\u540e\uff0c\u591a\u4e2a\u6392\u4ed6\u4e8b\u4ef6\u53d1\u751f\u7ed9\u5b9a\u6b21\u6570\u7684\u6982\u7387\u3002<\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679c\u968f\u673a\u5b9e\u9a8c\u53ef\u4ee5\u4ea7\u751f\u4e09\u4e2a\u6216\u66f4\u591a\u7684\u6392\u4ed6\u4e8b\u4ef6\uff0c\u5e76\u4e14\u6bcf\u4e2a\u4e8b\u4ef6\u5355\u72ec\u53d1\u751f\u7684\u6982\u7387\u5df2\u77e5\uff0c\u5219\u4f7f\u7528\u591a\u9879\u5206\u5e03\u6765\u8ba1\u7b97\u5728\u8fdb\u884c\u591a\u4e2a\u5b9e\u9a8c\u65f6\u53d1\u751f\u4e00\u5b9a\u6570\u91cf\u7684\u4e8b\u4ef6\u7684\u6982\u7387\u3002\u6bcf\u4e2a\u4e8b\u4ef6\u7684\u65f6\u95f4\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u591a\u9879\u5206\u5e03\u662f\u4e8c\u9879\u5206\u5e03\u7684\u63a8\u5e7f\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u591a\u9879\u5206\u5e03-1\/\">\u591a\u9879\u5206\u5e03\u7684\u5c5e\u6027<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-geometrica\"><\/span>\u51e0\u4f55\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u51e0\u4f55\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u5b9a\u4e49\u4e86\u83b7\u5f97\u7b2c\u4e00\u4e2a\u6210\u529f\u7ed3\u679c\u6240\u9700\u7684\u4f2f\u52aa\u5229\u8bd5\u9a8c\u6b21\u6570\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u51e0\u4f55\u5206\u5e03\u6a21\u578b\u662f\u91cd\u590d\u4f2f\u52aa\u5229\u5b9e\u9a8c\u76f4\u5230\u5176\u4e2d\u4e00\u4e2a\u5b9e\u9a8c\u83b7\u5f97\u80af\u5b9a\u7ed3\u679c\u7684\u8fc7\u7a0b\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5728\u9ad8\u901f\u516c\u8def\u4e0a\u884c\u9a76\u76f4\u5230\u770b\u5230\u9ec4\u8272\u6c7d\u8f66\u7684\u6c7d\u8f66\u6570\u91cf\u662f\u51e0\u4f55\u5206\u5e03\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u4f2f\u52aa\u5229\u6d4b\u8bd5\u662f\u4e00\u79cd\u6709\u4e24\u79cd\u53ef\u80fd\u7ed3\u679c\u7684\u5b9e\u9a8c\uff1a\u201c\u6210\u529f\u201d\u548c\u201c\u5931\u8d25\u201d\u3002\u56e0\u6b64\uff0c\u5982\u679c\u201c\u6210\u529f\u201d\u7684\u6982\u7387\u4e3a<em>p<\/em> \uff0c\u5219\u201c\u5931\u8d25\u201d\u7684\u6982\u7387\u4e3a<em>q=1-p<\/em> \u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u51e0\u4f55\u5206\u5e03\u53d6\u51b3\u4e8e\u53c2\u6570<em>p<\/em> \uff0c\u5b83\u662f\u6240\u6709\u8fdb\u884c\u7684\u5b9e\u9a8c\u6210\u529f\u7684\u6982\u7387\u3002\u6b64\u5916\uff0c\u6240\u6709\u5b9e\u9a8c\u7684\u6982\u7387<em>p<\/em>\u90fd\u662f\u76f8\u540c\u7684\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-22fef9b6ab8e3b351598caf9925c2b3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Geom\\'etrica}(p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u51e0\u4f55\u5206\u5e03\/\">\u51e0\u4f55\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-binomial-negativa\"><\/span>\u8d1f\u4e8c\u9879\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u8d1f\u4e8c\u9879\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u63cf\u8ff0\u83b7\u5f97\u7ed9\u5b9a\u6570\u91cf\u7684\u6b63\u7ed3\u679c\u6240\u9700\u7684\u4f2f\u52aa\u5229\u8bd5\u9a8c\u6b21\u6570\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u8d1f\u4e8c\u9879\u5f0f\u5206\u5e03\u5177\u6709\u4e24\u4e2a\u7279\u5f81\u53c2\u6570\uff1a <em>r<\/em>\u662f\u6240\u9700\u7684\u6210\u529f\u7ed3\u679c\u6570\u91cf\uff0c <em>p<\/em>\u662f\u6bcf\u6b21\u6267\u884c\u4f2f\u52aa\u5229\u5b9e\u9a8c\u7684\u6210\u529f\u6982\u7387\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-171122de529a1c006bc46e8d89176016_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{BN}(r,p)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u8d1f\u4e8c\u9879\u5f0f\u5206\u5e03\u5b9a\u4e49\u4e86\u4e00\u4e2a\u8fc7\u7a0b\uff0c\u5176\u4e2d\u6839\u636e\u9700\u8981\u8fdb\u884c\u5c3d\u53ef\u80fd\u591a\u7684\u4f2f\u52aa\u5229\u8bd5\u9a8c\u4ee5\u83b7\u5f97\u6b63<em>\u7ed3\u679c<\/em>\u3002\u6b64\u5916\uff0c\u6240\u6709\u8fd9\u4e9b\u4f2f\u52aa\u5229\u8bd5\u9a8c\u90fd\u662f\u72ec\u7acb\u7684\uff0c\u5e76\u4e14<em>\u6210\u529f<\/em>\u7684\u6982\u7387\u6052\u5b9a\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u670d\u4ece\u8d1f\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\u662f\u9ab0\u5b50\u5fc5\u987b\u6eda\u52a8\u7684\u6b21\u6570\uff0c\u76f4\u5230\u6570\u5b57 6 \u53d8\u4e3a 3 \u6b21\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u8d1f-1-\u4e8c\u9879\u5206\u5e03\/\">\u8d1f\u4e8c\u9879\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-hipergeometrica\"><\/span>\u8d85\u51e0\u4f55\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u8d85\u51e0\u4f55\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u63cf\u8ff0\u4e86\u5728\u4e0d\u66ff\u6362\u603b\u4f53\u4e2d\u7684<em>n \u4e2a<\/em>\u5143\u7d20\u7684\u60c5\u51b5\u4e0b\u968f\u673a\u63d0\u53d6\u7684\u6210\u529f\u6848\u4f8b\u7684\u6570\u91cf\u3002<\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4\uff0c\u8d85\u51e0\u4f55\u5206\u5e03\u7528\u4e8e\u8ba1\u7b97\u5f53\u4ece\u603b\u4f53\u4e2d\u63d0\u53d6<em>n<\/em>\u4e2a\u5143\u7d20\u800c\u4e0d\u66ff\u6362\u5176\u4e2d\u4efb\u4f55\u4e00\u4e2a\u65f6\u83b7\u5f97<em>x<\/em>\u6b21\u6210\u529f\u7684\u6982\u7387\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u8d85\u51e0\u4f55\u5206\u5e03\u5177\u6709\u4e09\u4e2a\u53c2\u6570\uff1a<\/p>\n<ul>\n<li> <strong><em>N<\/em><\/strong> \uff1a\u603b\u4f53\u4e2d\u5143\u7d20\u7684\u6570\u91cf\uff08N = 0, 1, 2,\u2026\uff09\u3002<\/li>\n<li> <strong><em>K<\/em><\/strong> \uff1a\u662f\u6700\u5927\u6210\u529f\u6848\u4f8b\u6570\uff08K = 0, 1, 2,\u2026,N\uff09\u3002\u7531\u4e8e\u5728\u8d85\u51e0\u4f55\u5206\u5e03\u4e2d\uff0c\u4e00\u4e2a\u5143\u7d20\u53ea\u80fd\u88ab\u89c6\u4e3a\u201c\u6210\u529f\u201d\u6216\u201c\u5931\u8d25\u201d\uff0c\u56e0\u6b64<em>NK<\/em>\u662f\u5931\u8d25\u6848\u4f8b\u7684\u6700\u5927\u6570\u91cf\u3002<\/li>\n<li> <strong><em>n<\/em><\/strong> \uff1a\u662f\u6267\u884c\u7684\u65e0\u66ff\u6362\u8bfb\u53d6\u7684\u6b21\u6570\u3002 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bd43d7c14739c66e63b224abf6cc20b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X \\sim HG(N,K,n)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u8d85\u51e0\u4f55\u5206\u5e03-1\/\">\u8d85\u51e0\u4f55\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribuciones-de-probabilidad-continuas\"><\/span>\u8fde\u7eed\u6982\u7387\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u8fde\u7eed\u6982\u7387\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u53ef\u4ee5\u53d6\u533a\u95f4\u5185\u4efb\u4f55\u503c\uff08\u5305\u62ec\u5c0f\u6570\u503c\uff09\u7684\u6982\u7387\u5206\u5e03\u3002\u56e0\u6b64\uff0c\u8fde\u7eed\u6982\u7387\u5206\u5e03\u5b9a\u4e49\u4e86\u8fde\u7eed\u968f\u673a\u53d8\u91cf\u7684\u6982\u7387\u3002 <\/p>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-uniforme-continua\"><\/span>\u5747\u5300\u8fde\u7eed\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u8fde\u7eed\u5747\u5300\u5206\u5e03<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u77e9\u5f62\u5206\u5e03<\/strong>\uff0c\u662f\u4e00\u79cd\u8fde\u7eed\u6982\u7387\u5206\u5e03\uff0c\u5176\u4e2d\u6240\u6709\u503c\u51fa\u73b0\u7684\u6982\u7387\u76f8\u540c\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u8fde\u7eed\u5747\u5300\u5206\u5e03\u662f\u6982\u7387\u5728\u4e00\u4e2a\u533a\u95f4\u4e0a\u5747\u5300\u5206\u5e03\u7684\u5206\u5e03\u3002<\/p>\n<p>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7528\u4e8e\u63cf\u8ff0\u5177\u6709\u6052\u5b9a\u6982\u7387\u7684\u8fde\u7eed\u53d8\u91cf\u3002\u7c7b\u4f3c\u5730\uff0c\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7528\u4e8e\u5b9a\u4e49\u968f\u673a\u8fc7\u7a0b\uff0c\u56e0\u4e3a\u5982\u679c\u6240\u6709\u7ed3\u679c\u5177\u6709\u76f8\u540c\u7684\u6982\u7387\uff0c\u5219\u610f\u5473\u7740\u7ed3\u679c\u5b58\u5728\u968f\u673a\u6027\u3002<\/p>\n<p>\u8fde\u7eed\u5747\u5300\u5206\u5e03\u6709\u4e24\u4e2a\u7279\u5f81\u53c2\u6570<em>a<\/em>\u548c<em>b<\/em> \uff0c\u5b83\u4eec\u5b9a\u4e49\u7b49\u6982\u7387\u533a\u95f4\u3002\u56e0\u6b64\uff0c\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u7b26\u53f7\u4e3a<em>U(a,b)<\/em> \uff0c\u5176\u4e2d<em>a<\/em>\u548c<em>b<\/em>\u662f\u5206\u5e03\u7684\u7279\u5f81\u503c\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-339036da3788f71282d3936dd092730c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim U(a,b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"92\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u968f\u673a\u5b9e\u9a8c\u7684\u7ed3\u679c\u53ef\u4ee5\u53d6 5 \u5230 9 \u4e4b\u95f4\u7684\u4efb\u4f55\u503c\uff0c\u5e76\u4e14\u6240\u6709\u53ef\u80fd\u7684\u7ed3\u679c\u5177\u6709\u76f8\u540c\u7684\u53d1\u751f\u6982\u7387\uff0c\u5219\u53ef\u4ee5\u4f7f\u7528\u8fde\u7eed\u5747\u5300\u5206\u5e03 U(5.9) \u6765\u6a21\u62df\u8be5\u5b9e\u9a8c\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u5747\u5300\u8fde\u7eed\u5206\u5e03\/\">\u8fde\u7eed\u5747\u5300\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-normal\"><\/span>\u6b63\u6001\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u6b63\u6001\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u8fde\u7eed\u6982\u7387\u5206\u5e03\uff0c\u5176\u56fe\u5f62\u5448\u949f\u5f62\u4e14\u5173\u4e8e\u5176\u5747\u503c\u5bf9\u79f0\u3002\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u6b63\u6001\u5206\u5e03\u7528\u4e8e\u5bf9\u5177\u6709\u622a\u7136\u4e0d\u540c\u7279\u5f81\u7684\u73b0\u8c61\u8fdb\u884c\u5efa\u6a21\uff0c\u8fd9\u5c31\u662f\u8be5\u5206\u5e03\u5982\u6b64\u91cd\u8981\u7684\u539f\u56e0\u3002<\/p>\n<p>\u4e8b\u5b9e\u4e0a\uff0c\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u6b63\u6001\u5206\u5e03\u88ab\u8ba4\u4e3a\u662f\u8fc4\u4eca\u4e3a\u6b62\u6240\u6709\u6982\u7387\u5206\u5e03\u4e2d\u6700\u91cd\u8981\u7684\u5206\u5e03\uff0c\u56e0\u4e3a\u5b83\u4e0d\u4ec5\u5141\u8bb8\u5bf9\u5927\u91cf\u771f\u5b9e\u73b0\u8c61\u8fdb\u884c\u5efa\u6a21\uff0c\u800c\u4e14\u8fd8\u53ef\u4ee5\u4f7f\u7528\u6b63\u6001\u5206\u5e03\u6765\u8fd1\u4f3c\u5176\u4ed6\u7c7b\u578b\u7684\u5206\u5e03\u3002\u5728\u67d0\u4e9b\u6761\u4ef6\u4e0b\u3002<\/p>\n<p>\u6b63\u6001\u5206\u5e03\u7684\u7b26\u53f7\u662f\u5927\u5199\u5b57\u6bcdN\u3002\u56e0\u6b64\uff0c\u4e3a\u4e86\u8868\u793a\u4e00\u4e2a\u53d8\u91cf\u670d\u4ece\u6b63\u6001\u5206\u5e03\uff0c\u7528\u5b57\u6bcdN\u8868\u793a\uff0c\u5e76\u5728\u62ec\u53f7\u4e2d\u6dfb\u52a0\u5176\u7b97\u672f\u5e73\u5747\u503c\u548c\u6807\u51c6\u5dee\u7684\u503c\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9e682e473c45274794b6fece4d7683f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim N(\\mu,\\sigma)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b63\u6001\u5206\u5e03\u6709\u8bb8\u591a\u4e0d\u540c\u7684\u540d\u79f0\uff0c\u5305\u62ec<strong>\u9ad8\u65af\u5206\u5e03<\/strong>\u3001<strong>\u9ad8\u65af\u5206\u5e03<\/strong>\u548c<strong>\u62c9\u666e\u62c9\u65af\u9ad8\u65af\u5206\u5e03<\/strong>\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03\/\">\u6b63\u6001\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-lognormal\"><\/span>\u5bf9\u6570\u6b63\u6001\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u5bf9\u6570\u6b63\u6001\u5206\u5e03<\/strong>\u6216<strong>\u5bf9\u6570\u6b63\u6001\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u5b9a\u4e49\u5176\u5bf9\u6570\u670d\u4ece\u6b63\u6001\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u53d8\u91cf X \u670d\u4ece\u6b63\u6001\u5206\u5e03\uff0c\u5219\u6307\u6570\u51fd\u6570 e <sup>x<\/sup>\u670d\u4ece\u5bf9\u6570\u6b63\u6001\u5206\u5e03\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-216d8f120f09a37cd8f797bb3b115a40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Lognormal}(\\mu,\\sigma^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"173\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5bf9\u6570\u6b63\u6001\u5206\u5e03\u53ea\u80fd\u5728\u53d8\u91cf\u503c\u4e3a\u6b63\u65f6\u4f7f\u7528\uff0c\u56e0\u4e3a\u5bf9\u6570\u662f\u4e00\u79cd\u4ec5\u91c7\u7528\u4e00\u4e2a\u6b63\u53c2\u6570\u7684\u51fd\u6570\u3002<\/p>\n<p>\u5728\u5bf9\u6570\u6b63\u6001\u5206\u5e03\u5728\u7edf\u8ba1\u4e2d\u7684\u4e0d\u540c\u5e94\u7528\u4e2d\uff0c\u6211\u4eec\u533a\u5206\u4f7f\u7528\u8be5\u5206\u5e03\u6765\u5206\u6790\u91d1\u878d\u6295\u8d44\u548c\u8fdb\u884c\u53ef\u9760\u6027\u5206\u6790\u3002<\/p>\n<p>\u5bf9\u6570\u6b63\u6001\u5206\u5e03\u4e5f\u79f0\u4e3a<strong>Tinaut \u5206\u5e03<\/strong>\uff0c\u6709\u65f6\u4e5f\u5199<strong>\u4e3a\u5bf9\u6570\u6b63\u6001\u5206\u5e03<\/strong>\u6216<strong>\u5bf9\u6570\u6b63\u6001\u5206\u5e03<\/strong>\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u5bf9\u6570\u6b63\u6001\u5206\u5e03\/\">\u5bf9\u6570\u6b63\u6001\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-chi-cuadrado\"><\/span>\u5361\u65b9\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u5361\u65b9\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u5176\u7b26\u53f7\u4e3a \u03c72\u3002\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u5361\u65b9\u5206\u5e03\u662f<em>k \u4e2a<\/em>\u670d\u4ece\u6b63\u6001\u5206\u5e03\u7684\u72ec\u7acb\u968f\u673a\u53d8\u91cf\u7684\u5e73\u65b9\u548c\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5361\u65b9\u5206\u5e03\u6709<em>k \u4e2a<\/em>\u81ea\u7531\u5ea6\u3002\u56e0\u6b64\uff0c\u5361\u65b9\u5206\u5e03\u7684\u81ea\u7531\u5ea6\u4e0e\u5176\u6240\u4ee3\u8868\u7684\u6b63\u6001\u5206\u5e03\u53d8\u91cf\u7684\u5e73\u65b9\u548c\u4e00\u6837\u591a\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9ea0bf7a87071883ceae5e419bae9e71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle X\\sim\\chi^2_k \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ \\begin{array}{l}\\text{Distribuci\\'on chi-cuadrado}\\\\[2ex]\\text{con k grados de libertad}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5361\u65b9\u5206\u5e03\u4e5f\u79f0\u4e3a<strong>\u76ae\u5c14\u900a\u5206\u5e03<\/strong>\u3002<\/p>\n<p>\u5361\u65b9\u5206\u5e03\u5e7f\u6cdb\u7528\u4e8e\u7edf\u8ba1\u63a8\u65ad\uff0c\u4f8b\u5982\u5047\u8bbe\u68c0\u9a8c\u548c\u7f6e\u4fe1\u533a\u95f4\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u770b\u5230\u8fd9\u79cd\u6982\u7387\u5206\u5e03\u6709\u54ea\u4e9b\u5e94\u7528\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u5361\u65b9\u5206\u5e03\/\">\u5361\u65b9\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-t-de-student\"><\/span>\u5b66\u751f t \u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u5b66\u751f t \u5206\u5e03<\/strong>\u662f\u7edf\u8ba1\u5b66\u4e2d\u5e7f\u6cdb\u4f7f\u7528\u7684\u6982\u7387\u5206\u5e03\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u5b66\u751f t \u5206\u5e03\u5728\u5b66\u751f t \u68c0\u9a8c\u4e2d\u7528\u4e8e\u786e\u5b9a\u4e24\u4e2a\u6837\u672c\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u5e76\u5efa\u7acb\u7f6e\u4fe1\u533a\u95f4\u3002<\/p>\n<p> Student t \u5206\u5e03\u662f\u7531\u7edf\u8ba1\u5b66\u5bb6 William Sealy Gosset \u4e8e 1908 \u5e74\u4ee5\u7b14\u540d\u201cStudent\u201d\u5f00\u53d1\u7684\u3002<\/p>\n<p> Student t \u5206\u5e03\u7531\u5176\u81ea\u7531\u5ea6\u6570\u5b9a\u4e49\uff0c\u81ea\u7531\u5ea6\u6570\u662f\u901a\u8fc7\u4ece\u89c2\u6d4b\u603b\u6570\u4e2d\u51cf\u53bb 1 \u4e2a\u5355\u4f4d\u800c\u83b7\u5f97\u7684\u3002\u56e0\u6b64\uff0c\u786e\u5b9a Student t \u5206\u5e03\u81ea\u7531\u5ea6\u7684\u516c\u5f0f\u4e3a<em>\u03bd=n-1<\/em> \u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1c805dc2d6ca050feb70dad99de53402_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\nu=n-1\\\\[2ex]X\\sim t_\\nu\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"74\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong> <a href=\"https:\/\/statorials.org\/cn\/\u5b66\u751f\u5206\u5e03\/\">Student t \u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-f-de-snedecor\"><\/span>\u65af\u5185\u88c5\u9970 F \u5206\u9500<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>Snedecor F \u5206\u5e03<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>Fisher\u2013Snedecor F \u5206\u5e03<\/strong>\u6216\u7b80\u79f0<strong>F \u5206\u5e03<\/strong>\uff0c\u662f\u4e00\u79cd\u7528\u4e8e\u7edf\u8ba1\u63a8\u65ad\uff0c\u7279\u522b\u662f\u65b9\u5dee\u5206\u6790\u7684\u8fde\u7eed\u6982\u7387\u5206\u5e03\u3002<\/p>\n<p> Snedecor F \u5206\u5e03\u7684\u5c5e\u6027\u4e4b\u4e00\u662f\u5b83\u7531\u4e24\u4e2a\u5b9e\u6570\u53c2\u6570<em>m<\/em>\u548c<em>n<\/em>\u7684\u503c\u5b9a\u4e49\uff0c\u8fd9\u4e24\u4e2a\u53c2\u6570\u8868\u793a\u5176\u81ea\u7531\u5ea6\u3002\u56e0\u6b64\uff0cSnedecor \u5206\u5e03 F \u7684\u7b26\u53f7\u4e3a<em>F <sub>m,n<\/sub><\/em> \uff0c\u5176\u4e2d<em>m<\/em>\u548c<em>n<\/em>\u662f\u5b9a\u4e49\u5206\u5e03\u7684\u53c2\u6570\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b6126a79c671267450b6523ca16b4a92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F_{m,n}\\qquad m,n>0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;18&#8243; width=&#8221;139&#8243; style=&#8221;vertical-align: -6px;&#8221;><\/p>\n<\/p>\n<p>\u4ece\u6570\u5b66\u4e0a\u8bb2\uff0cSnedecor F \u5206\u5e03\u7b49\u4e8e\u4e00\u4e2a\u5361\u65b9\u5206\u5e03\u4e0e\u5176\u81ea\u7531\u5ea6\u4e4b\u95f4\u7684\u5546\u9664\u4ee5\u53e6\u4e00\u4e2a\u5361\u65b9\u5206\u5e03\u4e0e\u5176\u81ea\u7531\u5ea6\u4e4b\u95f4\u7684\u5546\u3002\u56e0\u6b64\uff0c\u5b9a\u4e49 Snedecor F \u5206\u5e03\u7684\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d407869e61ca4357ffbcb40df3bd83ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c} X\\sim \\chi_m^2\\\\[2ex] Y\\sim \\chi_n^2\\end{array}\\right\\}\\color{orange}\\bm{\\longrightarrow}\\color{black}\\ F_{m,n}= \\cfrac{X\/m}{Y\/n}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"322\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Fisher-Snedecor F \u5206\u5e03\u5f97\u540d\u4e8e\u82f1\u56fd\u7edf\u8ba1\u5b66\u5bb6 Ronald Fisher \u548c\u7f8e\u56fd\u7edf\u8ba1\u5b66\u5bb6 George Snedecor\u3002<\/p>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0cFisher-Snedecor F \u5206\u5e03\u6709\u4e0d\u540c\u7684\u5e94\u7528\u3002\u4f8b\u5982\uff0cFisher-Snedecor F \u5206\u5e03\u7528\u4e8e\u6bd4\u8f83\u4e0d\u540c\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u8be5\u6982\u7387\u5206\u5e03\u7528\u4e8e\u65b9\u5dee\u5206\u6790 (ANOVA)\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong> <a href=\"https:\/\/statorials.org\/cn\/snedecor-\u7684\u5206\u5e03-f\/\">Snedecor F \u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-exponencial\"><\/span>\u6307\u6570\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u6307\u6570\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u8fde\u7eed\u6982\u7387\u5206\u5e03\uff0c\u7528\u4e8e\u5bf9\u968f\u673a\u73b0\u8c61\u53d1\u751f\u7684\u7b49\u5f85\u65f6\u95f4\u8fdb\u884c\u5efa\u6a21\u3002<\/p>\n<p>\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u6307\u6570\u5206\u5e03\u4f7f\u6211\u4eec\u80fd\u591f\u63cf\u8ff0\u9075\u5faa\u6cca\u677e\u5206\u5e03\u7684\u4e24\u4e2a\u4e8b\u4ef6\u4e4b\u95f4\u7684\u7b49\u5f85\u65f6\u95f4\u3002\u56e0\u6b64\uff0c\u6307\u6570\u5206\u5e03\u4e0e\u6cca\u677e\u5206\u5e03\u5bc6\u5207\u76f8\u5173\u3002<\/p>\n<p>\u6307\u6570\u5206\u5e03\u6709\u4e00\u4e2a\u7279\u5f81\u53c2\u6570\uff0c\u7528\u5e0c\u814a\u5b57\u6bcd \u03bb \u8868\u793a\uff0c\u8868\u793a\u6240\u7814\u7a76\u7684\u4e8b\u4ef6\u5728\u7ed9\u5b9a\u65f6\u95f4\u6bb5\u5185\u9884\u8ba1\u53d1\u751f\u7684\u6b21\u6570\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05fa833356caeb193384f780ae4edac1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\text{Exp}(\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u540c\u6837\uff0c\u6307\u6570\u5206\u5e03\u4e5f\u7528\u4e8e\u5bf9\u6545\u969c\u53d1\u751f\u4e4b\u524d\u7684\u65f6\u95f4\u8fdb\u884c\u5efa\u6a21\u3002\u56e0\u6b64\uff0c\u6307\u6570\u5206\u5e03\u5728\u53ef\u9760\u6027\u548c\u751f\u5b58\u7406\u8bba\u4e2d\u6709\u591a\u79cd\u5e94\u7528\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u6307\u6570\u5206\u5e03-1\/\">\u6307\u6570\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-beta\"><\/span> \u8d1d\u5854\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>beta \u5206\u5e03<\/strong>\u662f\u5728\u533a\u95f4 (0,1) \u4e0a\u5b9a\u4e49\u7684\u6982\u7387\u5206\u5e03\uff0c\u5e76\u7531\u4e24\u4e2a\u6b63\u53c2\u6570 \u03b1 \u548c \u03b2 \u53c2\u6570\u5316\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u03b2\u5206\u5e03\u7684\u503c\u53d6\u51b3\u4e8e\u53c2\u6570\u03b1\u548c\u03b2\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u03b2\u5206\u5e03\u7528\u4e8e\u5b9a\u4e49\u53d6\u503c\u8303\u56f4\u4e3a0\u52301\u7684\u8fde\u7eed\u968f\u673a\u53d8\u91cf\u3002<\/p>\n<p>\u6709\u51e0\u79cd\u8868\u793a\u6cd5\u8868\u660e\u8fde\u7eed\u968f\u673a\u53d8\u91cf\u53d7 beta \u5206\u5e03\u652f\u914d\uff0c\u6700\u5e38\u89c1\u7684\u662f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ee1d0d8a1624a017b8ef9ce8a67c694e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim B(\\alpha,\\beta)\\\\[2ex]X\\sim Beta(\\alpha,\\beta)\\\\[2ex]X\\sim \\beta_{\\alpha,\\beta}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"121\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u03b2 \u5206\u5e03\u7684\u5e94\u7528\u975e\u5e38\u5e7f\u6cdb\u3002\u4f8b\u5982\uff0c\u8d1d\u5854\u5206\u5e03\u7528\u4e8e\u7814\u7a76\u4e0d\u540c\u6837\u672c\u4e2d\u7684\u767e\u5206\u6bd4\u53d8\u5316\u3002\u540c\u6837\uff0c\u5728\u9879\u76ee\u7ba1\u7406\u4e2d\uff0c\u03b2\u5206\u5e03\u7528\u4e8e\u8fdb\u884cPert\u5206\u6790\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong> <a href=\"https:\/\/statorials.org\/cn\/\u8d1d\u5854\u5206\u5e03\/\">Beta \u53d1\u884c\u7248\u529f\u80fd<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-gamma\"><\/span> \u4f3d\u9a6c\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u4f3d\u9a6c\u5206\u5e03<\/strong>\u662f\u7531\u4e24\u4e2a\u7279\u5f81\u53c2\u6570 \u03b1 \u548c \u03bb \u5b9a\u4e49\u7684\u8fde\u7eed\u6982\u7387\u5206\u5e03\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u4f3d\u9a6c\u5206\u5e03\u53d6\u51b3\u4e8e\u5176\u4e24\u4e2a\u53c2\u6570\u7684\u503c\uff1a\u03b1 \u662f\u5f62\u72b6\u53c2\u6570\uff0c\u03bb \u662f\u5c3a\u5ea6\u53c2\u6570\u3002<\/p>\n<p>\u4f3d\u9a6c\u5206\u5e03\u7684\u7b26\u53f7\u662f\u5927\u5199\u5e0c\u814a\u5b57\u6bcd \u0413\u3002\u56e0\u6b64\uff0c\u5982\u679c\u968f\u673a\u53d8\u91cf\u670d\u4ece\u4f3d\u739b\u5206\u5e03\uff0c\u5219\u53ef\u4ee5\u5199\u6210\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1b0ab2e724ffd74455d0907b39f4a598_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim \\Gamma(\\alpha,\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4f3d\u739b\u5206\u5e03\u8fd8\u53ef\u4ee5\u4f7f\u7528\u5f62\u72b6\u53c2\u6570 k = \u03b1 \u548c\u53cd\u6bd4\u4f8b\u53c2\u6570 \u03b8 = 1\/\u03bb \u8fdb\u884c\u53c2\u6570\u5316\u3002\u5728\u6240\u6709\u60c5\u51b5\u4e0b\uff0c\u5b9a\u4e49\u4f3d\u739b\u5206\u5e03\u7684\u4e24\u4e2a\u53c2\u6570\u90fd\u662f\u6b63\u5b9e\u6570\u3002<\/p>\n<p>\u901a\u5e38\uff0c\u4f3d\u739b\u5206\u5e03\u7528\u4e8e\u5bf9\u53f3\u504f\u6570\u636e\u96c6\u8fdb\u884c\u5efa\u6a21\uff0c\u4ee5\u4fbf\u56fe\u8868\u5de6\u4fa7\u7684\u6570\u636e\u66f4\u52a0\u96c6\u4e2d\u3002\u4f8b\u5982\uff0c\u4f3d\u739b\u5206\u5e03\u7528\u4e8e\u5bf9\u7535\u6c14\u5143\u4ef6\u7684\u53ef\u9760\u6027\u8fdb\u884c\u5efa\u6a21\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u4f3d\u739b\u5206\u5e03\/\">\u4f3d\u739b\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-de-weibull\"><\/span>\u5a01\u5e03\u5c14\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u5a01\u5e03\u5c14\u5206\u5e03<\/strong>\u662f\u7531\u4e24\u4e2a\u7279\u5f81\u53c2\u6570\u5b9a\u4e49\u7684\u8fde\u7eed\u6982\u7387\u5206\u5e03\uff1a\u5f62\u72b6\u53c2\u6570 \u03b1 \u548c\u5c3a\u5ea6\u53c2\u6570 \u03bb\u3002<\/p>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u5a01\u5e03\u5c14\u5206\u5e03\u4e3b\u8981\u7528\u4e8e\u751f\u5b58\u5206\u6790\u3002\u540c\u6837\uff0c\u5a01\u5e03\u5c14\u5206\u5e03\u5728\u4e0d\u540c\u9886\u57df\u6709\u8bb8\u591a\u5e94\u7528\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-14be9904756b25df209befbae173e29e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim\\text{Weibull}(\\alpha,\\lambda)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"141\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u636e\u4f5c\u8005\u4ecb\u7ecd\uff0c\u5a01\u5e03\u5c14\u5206\u5e03\u4e5f\u53ef\u4ee5\u7528\u4e09\u4e2a\u53c2\u6570\u8fdb\u884c\u53c2\u6570\u5316\u3002\u7136\u540e\uff0c\u6dfb\u52a0\u7b2c\u4e09\u4e2a\u53c2\u6570\uff0c\u79f0\u4e3a\u9608\u503c\uff0c\u8be5\u53c2\u6570\u6307\u793a\u5206\u5e03\u56fe\u5f00\u59cb\u7684\u6a2a\u5750\u6807\u3002<\/p>\n<p>\u5a01\u5e03\u5c14\u5206\u5e03\u4ee5\u745e\u5178\u4eba Waloddi Weibull \u7684\u540d\u5b57\u547d\u540d\uff0c\u4ed6\u5728 1951 \u5e74\u5bf9\u5176\u8fdb\u884c\u4e86\u8be6\u7ec6\u63cf\u8ff0\u3002\u7136\u800c\uff0c\u5a01\u5e03\u5c14\u5206\u5e03\u662f\u7531 Maurice Fr\u00e9chet \u4e8e 1927 \u5e74\u53d1\u73b0\u7684\uff0c\u5e76\u7531 Rosin \u548c Rammler \u4e8e 1933 \u5e74\u9996\u6b21\u5e94\u7528\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u5a01\u5e03\u5c14\u5206\u5e03\/\">\u5a01\u5e03\u5c14\u5206\u5e03\u7684\u7279\u5f81<\/a><\/div>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-de-pareto\"><\/span>\u5e15\u7d2f\u6258\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>\u5e15\u7d2f\u6258\u5206\u5e03<\/strong>\u662f\u7edf\u8ba1\u5b66\u4e2d\u7528\u4e8e\u5bf9\u5e15\u7d2f\u6258\u539f\u7406\u5efa\u6a21\u7684\u8fde\u7eed\u6982\u7387\u5206\u5e03\u3002\u56e0\u6b64\uff0c\u5e15\u7d2f\u6258\u5206\u5e03\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\uff0c\u5176\u4e2d\u5c11\u6570\u503c\u7684\u51fa\u73b0\u6982\u7387\u8fdc\u9ad8\u4e8e\u5176\u4f59\u503c\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u5e15\u7d2f\u6258\u5b9a\u5f8b\uff0c\u4e5f\u79f0\u4e3a 80-20 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