{"id":225,"date":"2023-08-03T22:40:38","date_gmt":"2023-08-03T22:40:38","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%83%af%e3%82%a4%e3%83%95%e3%82%99%e3%83%ab%e5%88%86%e5%b8%83\/"},"modified":"2023-08-03T22:40:38","modified_gmt":"2023-08-03T22:40:38","slug":"%e3%83%af%e3%82%a4%e3%83%95%e3%82%99%e3%83%ab%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%83%af%e3%82%a4%e3%83%95%e3%82%99%e3%83%ab%e5%88%86%e5%b8%83\/","title":{"rendered":"\u30ef\u30a4\u30d6\u30eb\u5206\u5e03"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u306e\u7528\u9014\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u30b0\u30e9\u30d5\u8868\u73fe\u3068\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u78ba\u7387\u5206\u5e03\u306e\u7279\u6027\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-de-weibull\"><\/span>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306f\u3001<\/strong>\u5f62\u72b6\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc \u03b1 \u3068\u30b9\u30b1\u30fc\u30eb \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc \u03bb \u306e 2 \u3064\u306e\u7279\u6027\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u9023\u7d9a\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002<\/p>\n<p>\u7d71\u8a08\u5b66\u3067\u306f\u3001\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306f\u4e3b\u306b\u751f\u5b58\u5206\u6790\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u540c\u69d8\u306b\u3001\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306b\u306f\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u591a\u304f\u306e\u5fdc\u7528\u4f8b\u304c\u3042\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u3067\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u4f7f\u7528\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u8aac\u660e\u3057\u307e\u3059\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>\u8457\u8005\u3089\u306b\u3088\u308b\u3068\u3001\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306f 3 \u3064\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u30d1\u30e9\u30e1\u30fc\u30bf\u5316\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u6b21\u306b\u3001\u5206\u5e03\u30b0\u30e9\u30d5\u304c\u59cb\u307e\u308b\u6a2a\u5ea7\u6a19\u3092\u793a\u3059\u3001\u3057\u304d\u3044\u5024\u3068\u547c\u3070\u308c\u308b 3 \u756a\u76ee\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u304c\u8ffd\u52a0\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306f\u30011951 \u5e74\u306b\u8a73\u7d30\u306b\u8aac\u660e\u3057\u305f\u30b9\u30a6\u30a7\u30fc\u30c7\u30f3\u4eba\u306e\u30ef\u30ed\u30c3\u30c7\u30a3 \u30ef\u30a4\u30d6\u30eb\u306b\u3061\u306a\u3093\u3067\u547d\u540d\u3055\u308c\u307e\u3057\u305f\u3002\u305f\u3060\u3057\u3001\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306f 1927 \u5e74\u306b\u30e2\u30fc\u30ea\u30b9 \u30d5\u30ec\u30b7\u30a7\u306b\u3088\u3063\u3066\u767a\u898b\u3055\u308c\u30011933 \u5e74\u306b\u30ed\u30b8\u30f3\u3068\u30e9\u30e0\u30e9\u30fc\u306b\u3088\u3063\u3066\u521d\u3081\u3066\u9069\u7528\u3055\u308c\u307e\u3057\u305f\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-de-weibull\"><\/span>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u30d7\u30ed\u30c3\u30c8<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u5b9a\u7fa9\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u5024\u306b\u5fdc\u3058\u3066\u305d\u306e\u30b0\u30e9\u30d5\u8868\u73fe\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u304b\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306b\u3001\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u5bc6\u5ea6\u95a2\u6570\u30b0\u30e9\u30d5\u304c\u5f62\u72b6\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3068\u30b9\u30b1\u30fc\u30eb \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306e\u5024\u306b\u5fdc\u3058\u3066\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u304b\u3092\u793a\u3059\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/graphique-de-distribution-de-weibull.png\" alt=\"\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u30d7\u30ed\u30c3\u30c8\" class=\"wp-image-4592\" width=\"613\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u30b7\u30b9\u30c6\u30e0\u306e\u6545\u969c\u7387\u3092\u6642\u9593\u306e\u95a2\u6570\u3068\u3057\u3066\u30e2\u30c7\u30eb\u5316\u3059\u308b\u5834\u5408\u3001\u5f62\u72b6\u30d1\u30e9\u30e1\u30fc\u30bf \u03b1 \u306e\u5024\u306f\u6b21\u306e\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li> \u03b1&lt;1: \u6545\u969c\u7387\u306f\u6642\u9593\u306e\u7d4c\u904e\u3068\u3068\u3082\u306b\u6e1b\u5c11\u3057\u307e\u3059\u3002<\/li>\n<li> \u03b1=1: \u6545\u969c\u7387\u306f\u6642\u9593\u306e\u7d4c\u904e\u3068\u3068\u3082\u306b\u4e00\u5b9a\u3067\u3059\u3002<\/li>\n<li> \u03b1&gt;1: \u6642\u9593\u306e\u7d4c\u904e\u3068\u3068\u3082\u306b\u6545\u969c\u7387\u304c\u5897\u52a0\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>\u4e00\u65b9\u3001\u6b21\u306e\u30b0\u30e9\u30d5\u3067\u306f\u3001\u7279\u6027\u5024\u306b\u57fa\u3065\u3044\u3066\u30d7\u30ed\u30c3\u30c8\u3055\u308c\u305f\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u7d2f\u7a4d\u78ba\u7387\u95a2\u6570\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-de-probabilite-cumulative-weibull.png\" alt=\"\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u7d2f\u7a4d\u78ba\u7387\" class=\"wp-image-4593\" width=\"613\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-de-weibull\"><\/span>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u7279\u5fb4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306b\u306f\u6b21\u306e\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306b\u306f\u3001\u305d\u306e\u30b0\u30e9\u30d5\u3092\u5b9a\u7fa9\u3059\u308b 2 \u3064\u306e\u7279\u5fb4\u7684\u306a\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3001\u5f62\u72b6\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc \u03b1 \u3068\u30b9\u30b1\u30fc\u30eb \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc \u03bb \u304c\u3042\u308a\u307e\u3059\u3002\u3069\u3061\u3089\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3082\u6b63\u306e\u5b9f\u6570\u3067\u3059\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-c8794febbd607514546841a325490654_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\alpha >0\\\\[2ex]\\lambda >0\\\\[2ex]\\text{Weibull}(\\alpha,\\lambda)\\end{array}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;92&#8243; width=&#8221;101&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<ul>\n<li>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306f\u6b63\u306e\u6a2a\u5ea7\u6a19\u5024\u306e\u307f\u3092\u53d7\u3051\u5165\u308c\u307e\u3059\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-f543506f97e1f9c5a56ccc4566a3febf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in (0,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u5e73\u5747\u306f\u3001\u6b21\u306e\u5f0f\u3067\u8a08\u7b97\u3055\u308c\u307e\u3059\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-58afc005f8ebaae21871a37b7cfdd7bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle E[X]=\\frac{1}{\\lambda}\\;\\Gamma\\left(1+\\frac{1}{\\alpha}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"166\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e00\u65b9\u3001\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u5206\u6563\u3092\u6c42\u3081\u308b\u516c\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\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-d8f2f9c09c6b73fa3e123f115e9d9530_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Var(X)=\\frac{1}{\\lambda^2}\\left[\\Gamma\\left(1+\\frac{2}{\\alpha}\\right)-\\Gamma^2\\left(1+\\frac{1}{\\alpha}\\right)\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"326\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li> \u03b1&gt;1 \u306e\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306b\u5f93\u3046\u78ba\u7387\u5909\u6570\u306e\u6700\u983b\u5024\u306f\u3001\u6b21\u306e\u5f0f\u3067\u6c7a\u5b9a\u3067\u304d\u307e\u3059\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-6c5647358e9616b85e1a3291e54f4174_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Mo=\\frac{1}{\\lambda}\\left(\\frac{\\alpha-1}{\\alpha} \\right)^{\\frac{1}{\\alpha}} \\quad \\text{para } \\alpha>1&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;50&#8243; width=&#8221;257&#8243; style=&#8221;vertical-align: -17px;&#8221;><\/p>\n<\/p>\n<ul>\n<li>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u5bc6\u5ea6\u95a2\u6570\u306e\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\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-68b68faeb4d3fb2655c6d26eb4225303_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]=\\lambda\\alpha(\\lambda x)^{\\alpha-1}e^{-(\\lambda x)^\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"232\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u540c\u69d8\u306b\u3001\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u7d2f\u7a4d\u78ba\u7387\u95a2\u6570\u306e\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\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-d57cc3d761634b9239dcbbbfdd92638d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=1- e^{-(\\lambda x)^\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u975e\u5bfe\u79f0\u4fc2\u6570\u306f\u3001\u6b21\u306e\u5f0f\u3092\u9069\u7528\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\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-77648f1d0bee1b11d4ecd04234074ef7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\frac{\\displaystyle\\Gamma\\left(1+\\frac{3}{\\alpha}\\right)\\frac{|}{\\lambda^3}-3\\mu\\sigma^2-\\mu^3}{\\sigma^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"250\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6700\u5f8c\u306b\u3001\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u5c16\u5ea6\u4fc2\u6570\u3092\u6c7a\u5b9a\u3067\u304d\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\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-bd1311dcff7b84f959830e21a067a85a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C=\\frac{\\displaystyle\\frac{1}{\\lambda^4}\\Gamma \\left(1+\\frac{4}{\\alpha}\\right)-4\\gamma_{1}\\sigma^3\\mu-6\\mu^2\\sigma^2-\\mu^4}{\\sigma^4} \" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"332\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u91d1<\/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-9b8fb16186e6b05715bbb4dba92c740e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Gamma_i=\\Gamma\\left(1+\\frac{i}{\\alpha}\\right).\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"121\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"aplicaciones-de-la-distribucion-de-weibull\"><\/span>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306e\u5fdc\u7528<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u306b\u306f\u6b21\u306e\u3088\u3046\u306a\u591a\u304f\u306e\u7528\u9014\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u5fdc\u7528\u7d71\u8a08\u3067\u306f\u3001\u751f\u5b58\u5206\u6790\u306b\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<li>\u30a8\u30f3\u30b8\u30cb\u30a2\u30ea\u30f3\u30b0\u3067\u306f\u3001\u88fd\u9020\u6642\u9593\u306b\u95a2\u9023\u3059\u308b\u95a2\u6570\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u305f\u3081\u306b\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/li>\n<li>\u30ec\u30fc\u30c0\u30fc 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