{"id":77,"date":"2023-08-05T17:04:07","date_gmt":"2023-08-05T17:04:07","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e9%9d%9e%e5%88%86%e6%95%a3%e8%a1%8c%e5%88%97\/"},"modified":"2023-08-05T17:04:07","modified_gmt":"2023-08-05T17:04:07","slug":"%e9%9d%9e%e5%88%86%e6%95%a3%e8%a1%8c%e5%88%97","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e9%9d%9e%e5%88%86%e6%95%a3%e8%a1%8c%e5%88%97\/","title":{"rendered":"\u5171\u5206\u6563\u884c\u5217"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5171\u5206\u6563\u884c\u5217\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u306e\u516c\u5f0f\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u5177\u4f53\u7684\u306a\u4f8b\u3068\u5171\u5206\u6563\u884c\u5217\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u4f7f\u7528\u3057\u3066\u5171\u5206\u6563\u884c\u5217\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u3092\u5b66\u3073\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-matriz-de-covarianza\"><\/span>\u5171\u5206\u6563\u884c\u5217\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5171\u5206\u6563\u884c\u5217\u306f<\/strong>\u3001\u8abf\u67fb\u5bfe\u8c61\u306e\u5909\u6570\u306e\u5206\u6563\u3068\u5171\u5206\u6563\u3092\u8981\u7d20\u3068\u3059\u308b\u6b63\u65b9\u884c\u5217\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5171\u5206\u6563\u884c\u5217\u306e\u4e3b\u5bfe\u89d2\u306e\u8981\u7d20\u306f\u5404\u5909\u6570\u306e\u5206\u6563\u3067\u3042\u308a\u3001\u6b8b\u308a\u306e\u8981\u7d20\u306f\u5909\u6570\u9593\u306e\u5171\u5206\u6563\u3067\u3059\u3002<\/p>\n<p>\u7d71\u8a08\u5b66\u3067\u306f\u3001\u5171\u5206\u6563\u884c\u5217\u306f 2 \u3064\u4ee5\u4e0a\u306e\u78ba\u7387\u5909\u6570\u9593\u306e\u95a2\u4fc2\u3092\u5206\u6790\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u5171\u5206\u6563\u884c\u5217\u306f\u3001\u5909\u6570\u306e\u3059\u3079\u3066\u306e\u5171\u5206\u6563\u306e\u5024\u3092\u540c\u6642\u306b\u78ba\u8a8d\u3067\u304d\u308b\u305f\u3081\u3001\u591a\u304f\u306e\u5909\u6570\u9593\u306e\u76f8\u95a2\u95a2\u4fc2\u3092\u8fc5\u901f\u306b\u89e3\u91c8\u3067\u304d\u308b\u305f\u3081\u3001\u975e\u5e38\u306b\u4fbf\u5229\u3067\u3059\u3002<\/p>\n<p>\u5171\u5206\u6563\u884c\u5217\u306e\u8a18\u53f7\u306f\u30ae\u30ea\u30b7\u30e3\u6587\u5b57\u306e\u5927\u6587\u5b57\u30b7\u30b0\u30de (\u03a3) \u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-matriz-de-covarianza\"><\/span>\u5171\u5206\u6563\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3044\u304f\u3064\u304b\u306e\u7d71\u8a08\u5909\u6570\u306e<strong>\u5171\u5206\u6563\u884c\u5217\u3092\u8a08\u7b97\u3059\u308b<\/strong>\u306b\u306f\u3001\u6b21\u306e\u624b\u9806\u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:14px\"><span style=\"color:#101010;font-weight: normal;\">\u3059\u3079\u3066\u306e\u5909\u6570\u306e\u5206\u6563\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:14px\"><span style=\"color:#101010;font-weight: normal;\">\u5909\u6570\u306e\u5404\u30da\u30a2\u306e\u5171\u5206\u6563\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\u5171\u5206\u6563\u884c\u5217\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/span><\/li>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\u5909\u6570<em>i<\/em>\u306e\u5206\u6563\u306f\u3001\u884c\u5217\u306e\u4e3b\u5bfe\u89d2\u7dda\u4e0a\u3001\u3088\u308a\u6b63\u78ba\u306b\u306f\u4f4d\u7f6e<em>i,i<\/em>\u306b\u914d\u7f6e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\u5909\u6570<em>i<\/em>\u3068<em>j<\/em>\u306e\u9593\u306e\u5171\u5206\u6563\u306f\u3001\u884c\u5217\u306e\u4f4d\u7f6e<em>i,j<\/em>\u306b\u5165\u308c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<\/ol>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u5171\u5206\u6563\u884c\u5217\u306e\u5f0f\u306f<\/strong>\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/matrice-de-covariance.png\" alt=\"\u5171\u5206\u6563\u884c\u5217\" class=\"wp-image-1714\" width=\"602\" height=\"219\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-matriz-de-covarianza\"><\/span>\u5171\u5206\u6563\u884c\u5217\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5171\u5206\u6563\u884c\u5217\u306e\u5b9a\u7fa9\u3092\u78ba\u8a8d\u3057\u305f\u5f8c\u3001\u4ee5\u4e0b\u306b\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3092\u793a\u3057\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u884c\u5217\u304c\u3069\u306e\u3088\u3046\u306b\u4f5c\u6210\u3055\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/p>\n<p>\u5909\u6570 X\u3001Y\u3001Z \u306e\u5171\u5206\u6563\u884c\u5217\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u5024\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<ul>\n<li> \u00d7\uff1a4\u30017\u300112\u30015\u30017<\/li>\n<li>\u305d\u3057\u3066: 9\u300115\u300119\u30016\u30018<\/li>\n<li> Z\uff1a7\u30012\u30014\u30016\u30013<\/li>\n<\/ul>\n<p>\u6700\u521d\u306b\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u306e\u306f\u3001\u3059\u3079\u3066\u306e\u5909\u6570\u306e\u5206\u6563\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u3067\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-246675afb851649ad3289cc9fdd86de8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=7,6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"111\" style=\"vertical-align: -5px;\"><\/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-04c40f4402759ea0ba6b1507f0865564_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(Y)=23,44\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"127\" style=\"vertical-align: -5px;\"><\/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-3b9aa0b6c1af85b98c41d6e91c2d42ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(Z)=3,44\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"118\" 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>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u5206\u6563\/\">\u30ae\u30e3\u30c3\u30d7\u8a08\u7b97\u30c4\u30fc\u30eb<\/a><\/div>\n<p>\u6b21\u306b\u3001\u5909\u6570\u306e\u5404\u30da\u30a2\u9593\u306e\u5171\u5206\u6563\u3092\u6c42\u3081\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-997ada9147a8e29f8e808795aebb7c90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,Y)=11,2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" style=\"vertical-align: -5px;\"><\/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-e7c4b2aa6cd24dabf9c4538030f30b1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,Z)=-2,6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"145\" style=\"vertical-align: -5px;\"><\/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-3f9c1dab7f4691d9a35e56e3e166d919_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(Y,Z)=-4,36\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"150\" 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>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u5171\u5206\u6563\/\">\u5171\u5206\u6563\u8a08\u7b97\u6a5f<\/a><\/div>\n<p>\u3059\u3079\u3066\u306e\u5206\u6563\u3068\u5171\u5206\u6563\u3092\u8a08\u7b97\u3057\u305f\u3089\u3001\u3042\u3068\u306f\u5171\u5206\u6563\u884c\u5217\u3092\u4f5c\u6210\u3059\u308b\u3060\u3051\u3067\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u884c\u5217\u306e\u4e3b\u5bfe\u89d2\u306b\u5206\u6563\u5024\u3092\u914d\u7f6e\u3057\u3001\u5bfe\u5fdc\u3059\u308b\u4f4d\u7f6e\u306b\u5171\u5206\u6563\u5024\u3092\u914d\u7f6e\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-3a423b40ad6d25b57327b1f3dccd5df4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Sigma=\\begin{pmatrix}Var(X)&amp;Cov(X,Y)&amp;Cov(X,Z)\\\\[1.5ex]Cov(Y,X)&amp;Var(Y)&amp;Cov(Y,Z)\\\\[1.5ex]Cov(Z,X)&amp;Cov(Z,Y)&amp;Var(Z)\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"342\" style=\"vertical-align: 0px;\"><\/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-d90c58cc3c8ecef6a85c88196e1dd08d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Sigma=\\begin{pmatrix}7,6&amp;11,2&amp;-2,6\\\\[1.5ex]11,2&amp;23,44&amp;-4,36\\\\[1.5ex]-2,6&amp;-4,36&amp;3,44\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"231\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u5206\u6563\u3068\u5171\u5206\u6563\u3092\u884c\u5217\u3067\u8868\u3059\u3068\u3001\u5909\u6570\u3092\u89e3\u91c8\u3059\u308b\u306e\u304c\u975e\u5e38\u306b\u7c21\u5358\u306b\u306a\u308a\u307e\u3059\u3002\u6700\u5927\u306e\u5206\u6563\u3092\u6301\u3064\u5909\u6570\u306f Y (23.44) \u3067\u3059\u3002\u4e00\u65b9\u3001\u5909\u6570 X \u3068 Y \u306f\u76f4\u63a5\u7684\u306a\u95a2\u4fc2\u306b\u3042\u308a\u3001\u5909\u6570 X \u3068 Z (\u3057\u305f\u304c\u3063\u3066 Y \u3068 Z) \u306f\u9006\u306e\u95a2\u4fc2\u306b\u3042\u308a\u307e\u3059\u3002<\/p>\n<p> 2 \u3064\u306e\u5909\u6570\u9593\u306e\u5171\u5206\u6563\u306f\u5909\u6570\u306e\u9806\u5e8f\u306b\u4f9d\u5b58\u3057\u306a\u3044\u305f\u3081\u3001\u5171\u5206\u6563\u884c\u5217\u306f\u5e38\u306b\u5bfe\u79f0\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u4f8b\u3048\u3070\u3001<\/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-eba027bd1998d2c1dbe59f1b512ab953_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306b\u7b49\u3057\u3044<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-def16a63c06994394f83cdc040bea555_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(Y,X).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3055\u3089\u306b\u3001\u5171\u5206\u6563\u884c\u5217\u306f\u5e38\u306b\u6b63\u65b9\u884c\u5217\u3068\u306a\u308a\u3001\u305d\u306e\u6b21\u5143\u306f\u5909\u6570\u306e\u6570\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u5909\u6570\u304c 3 \u3064\u3042\u308b\u305f\u3081\u3001\u884c\u5217\u306f 3&#215;3 \u306b\u306a\u308a\u307e\u3059\u304c\u3001\u5909\u6570\u304c 2 \u3064\u3060\u3051\u306e\u5834\u5408\u3001\u5171\u5206\u6563\u884c\u5217\u306f 2&#215;2 \u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" 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