{"id":60127,"date":"2024-07-08T13:39:48","date_gmt":"2024-07-08T13:39:48","guid":{"rendered":"https:\/\/science-hub.click\/%E3%82%B3%E3%83%94%E3%83%A5%E3%83%A9%28%E6%95%B0%E5%AD%A6%29%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-07-08T13:39:48","modified_gmt":"2024-07-08T13:39:48","slug":"%E3%82%B3%E3%83%94%E3%83%A5%E3%83%A9%28%E6%95%B0%E5%AD%A6%29%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=60127","title":{"rendered":"\u30b3\u30d4\u30e5\u30e9 (\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><p>\u7d71\u8a08\u5b66\u306b\u304a\u3044\u3066\u3001<b>\u30b3\u30d4\u30e5\u30e9\u306f<\/b>\u78ba\u7387\u8ad6\u304b\u3089\u306e\u6570\u5b66\u7684\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3067\u3059\u3002\u30b3\u30d4\u30e5\u30e9\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b21\u306e\u5024\u3092\u6301\u3064\u78ba\u7387\u5909\u6570\u306e\u7570\u306a\u308b\u5ea7\u6a19\u9593\u306e\u4f9d\u5b58\u95a2\u4fc2\u3092\u7279\u5fb4\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\R^d} $$<\/div>\u9650\u754c\u6cd5\u5247\u3092\u6c17\u306b\u3059\u308b\u3053\u3068\u306a\u304f\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30b3\u30d4\u30e5\u30e9 (\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/YE5h8TbuHfg\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u30b3\u30d4\u30e5\u30e9\u306e\u78ba\u7387\u7684\u5074\u9762<\/h2><p>\u30b3\u30d4\u30e5\u30e9\u306f<span><a href=\"https:\/\/science-hub.click\/?p=4348\">\u5206\u5e03\u95a2\u6570<\/a><\/span>\u3067\u3042\u308a\u3001\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}C} $$<\/div>\u306b\u8a2d\u5b9a\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal{}[0,1]^d} $$<\/div>\u30de\u30fc\u30b8\u30f3\u304c\u5747\u4e00\u3067\u3042\u308b<div class=\"math-formual notranslate\">$$ {\\mathcal{}[0,1]} $$<\/div> \u3002\u7279\u5fb4\u4ed8\u3051\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal{}C(u_1,&#8230;,u_d)=0} $$<\/div>\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306e 1 \u3064\u304c<div class=\"math-formual notranslate\">$$ {\\mathcal{}u_i} $$<\/div>\u30bc\u30ed\u3067\u3059\u3001 <div class=\"math-formual notranslate\">$$ {\\mathcal{}C(1,&#8230;,1,u_i,1,&#8230;,1)=u_i} $$<\/div> \u3001 \u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\mathcal{}C} $$<\/div>\u6771<div class=\"math-formual notranslate\">$$ {\\mathcal{}d} $$<\/div> &#8211; \u5897\u52a0\u3057\u3066\u3044\u307e\u3059\u3002<\/p><p><span><a href=\"https:\/\/science-hub.click\/?p=20918\">\u6b21\u5143<\/a><\/span><span>2<\/span>\u3067\u306f\u3001 <div class=\"math-formual notranslate\">$$ {\\mathcal{}C(0,v)=C(u,0)=0} $$<\/div>\u3059\u3079\u3066\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {\\mathcal{}u} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\mathcal{}v} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {\\mathcal{}C(u,1)=u} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\mathcal{}C(1,v)=v} $$<\/div> \u3001\u3059\u3079\u3066\u306b\u3064\u3044\u3066<div class=\"math-formual notranslate\">$$ {\\mathcal{}u} $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\mathcal{}v} $$<\/div> \u3001\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001 <span>2<\/span>\u306e\u5897\u52a0\u7279\u6027\u306e\u7d50\u679c\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}C(u_1,v_1)-C(u_1,v_2)-C(u_2,v_1)+C(u_2,v_2)\\geq0} $$<\/div> \u3002<\/p><p>\u3053\u306e\u6210\u9577\u306e\u6982\u5ff5\u306e\u89e3\u91c8\u306f\u3001\u6b21\u306e\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}(U,V)} $$<\/div>\u914d\u5e03\u6a5f\u80fd\u3092\u8a8d\u3081\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal{}C} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {\\mathcal{}\\Pr(u_1<u<u_2,v_1<v<v_2)=c(u_1,v_1)-c(u_1,v_2)-c(u_2,v_1)+c(u_2,v_2)\\geq0} $$<=\"\" div=\"\"><\/u<u_2,v_1<v<v_2)=c(u_1,v_1)-c(u_1,v_2)-c(u_2,v_1)+c(u_2,v_2)\\geq0}><\/div> \u3001\u30e1\u30b8\u30e3\u30fc<div class=\"math-formual notranslate\">$$ {\\mathcal{}\\Pr} $$<\/div>\u5fc5\u7136\u7684\u306b\u30dd\u30b8\u30c6\u30a3\u30d6\u306b\u306a\u308b\u3053\u3068\u3002<\/p><p><span title=\"Sklar (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30b9\u30af\u30e9\u30fc<\/span>\u306e<span>\u5b9a\u7406\u306f<\/span>\u6b21\u306e\u3088\u3046\u306b\u8ff0\u3079\u3066\u3044\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}C} $$<\/div>\u304c\u30b3\u30d4\u30e5\u30e9\u3067\u3042\u308a\u3001 <div class=\"math-formual notranslate\">$$ {\\mathcal{}F_1,&#8230;,F_d} $$<\/div>\u306f (\u4e00\u5909\u91cf) \u5206\u5e03\u95a2\u6570\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}F(x_1,&#8230;,x_d)=C(F_1(x_1),&#8230;,F_d(x_d))} $$<\/div>\u306f\u6b21\u5143\u5206\u5e03\u95a2\u6570\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal{}d} $$<\/div> \u3001\u305d\u306e\u30de\u30fc\u30b8\u30f3\u306f\u6b63\u78ba\u306b<div class=\"math-formual notranslate\">$$ {\\mathcal{}F_1,&#8230;,F_d} $$<\/div> \u3002<\/p><p>\u305d\u3057\u3066\u305d\u306e\u9006\u306e\u5834\u5408\u306f\u3001 <div class=\"math-formual notranslate\">$$ {\\mathcal{}F} $$<\/div>\u306f\u6b21\u5143\u5206\u5e03\u95a2\u6570\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal{}d} $$<\/div> \u3001\u30b3\u30d4\u30e5\u30e9\u304c\u5b58\u5728\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal{}C} $$<\/div>\u306e\u3088\u3046\u306a<div class=\"math-formual notranslate\">$$ {\\mathcal{}F(x_1,&#8230;,x_d)=C(F_1(x_1),&#8230;,F_d(x_d))} $$<\/div> \u3001\u3053\u3053\u3067\u3001 <div class=\"math-formual notranslate\">$$ {\\mathcal{}F_i} $$<\/div>\u306e\u9650\u754c\u6cd5\u5247\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal{}F} $$<\/div> \u3002<\/p><p>\u3053\u308c\u3089\u306e\u9650\u754c\u6cd5\u5247\u304c\u3059\u3079\u3066\u9023\u7d9a\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u30b3\u30d4\u30e5\u30e9\u306f<div class=\"math-formual notranslate\">$$ {\\mathcal{}C} $$<\/div>\u306f\u4e00\u610f\u3067\u3042\u308a\u3001\u6b21\u306e\u95a2\u4fc2\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}C(u_1,&#8230;,u_d)=F(F_1^{-1} (u_1),&#8230;,F_d^{-1} (u_d))} $$<\/div> \u3002\u3053\u306e\u5834\u5408\u3001\u30e9\u30f3\u30c0\u30e0<span><a href=\"https:\/\/science-hub.click\/?p=66129\">\u30d9\u30af\u30c8\u30eb<\/a><\/span>\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f<i>\u30b3\u30d4\u30e5\u30e9<\/i>\u306b\u3064\u3044\u3066\u8a71\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}(X_1,&#8230;,X_d)} $$<\/div> \u3002<\/p><p>\u30e9\u30f3\u30c0\u30e0\u30d9\u30af\u30c8\u30eb\u306e\u30b3\u30d4\u30e5\u30e9<div class=\"math-formual notranslate\">$$ {\\mathcal{}(X_1,&#8230;,X_d)} $$<\/div>\u306f\u30e9\u30f3\u30c0\u30e0\u30d9\u30af\u30c8\u30eb\u306e\u5206\u5e03\u95a2\u6570\u3068\u306a\u308a\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}(F_1(X_1),&#8230;,F_d(X_d))} $$<\/div> \u3001\u6642\u3005\u6ce8\u610f\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal{}(U_1,&#8230;,U_d)} $$<\/div> \u3002<\/p><h2>\u7d71\u8a08\u7684\u5074\u9762<\/h2><p><span><a href=\"https:\/\/science-hub.click\/?p=38204\">\u7d71\u8a08\u7684\u306a<\/a><\/span><span><a href=\"https:\/\/science-hub.click\/?p=43578\">\u89b3\u70b9<\/a><\/span>\u304b\u3089<span><a href=\"https:\/\/science-hub.click\/?p=98747\">\u898b\u308b<\/a><\/span>\u3068\u3001\u30b3\u30d4\u30e5\u30e9\u306f<span title=\"\u30e9\u30f3\u30af\uff08\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\uff09\">\u30e9\u30f3\u30af<\/span>\u306e\u5206\u5e03\u306e\u3088\u3046\u306b\u81ea\u7136\u306b\u898b\u3048\u307e\u3059\u3002<\/p><p>\u30b3\u30d4\u30e5\u30e9\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=57009\">\u78ba\u7387<\/a><\/span><span title=\"\u30e1\u30c8\u30ea\u30c3\u30af \u30b9\u30da\u30fc\u30b9 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u8a08\u91cf\u7a7a\u9593<\/span>\u307e\u305f\u306f<i>\u30d5\u30a1\u30b8\u30fc<\/i><span><a href=\"https:\/\/science-hub.click\/?p=79113\">\u30ed\u30b8\u30c3\u30af<\/a><\/span>\u3067\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30b3\u30d4\u30e5\u30e9 (\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/8CTnmU6rK5w\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u5916\u90e8\u30ea\u30f3\u30af<\/span><\/h3><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30b3\u30d4\u30e5\u30e9 (\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/yhrUT4bLm7Q\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u3044\u304f\u3064\u304b\u306e\u53e4\u5178\u7684\u306a\u30b3\u30d4\u30e5\u30e9<\/h2><p>\u901a\u5e38\u306e\u30b3\u30d4\u30e5\u30e9\u306e\u4e2d\u3067\u3001\u30b3\u30d4\u30e5\u30e9\u306f<div class=\"math-formual notranslate\">$$ {\\mathcal{}\\Pi(u_1,&#8230;,u_d)=u_1&#8230;u_d} $$<\/div> (<span title=\"\u72ec\u7acb\uff08\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\uff09\">\u72ec\u7acb\u3057\u305f<\/span>\u30b3\u30d4\u30e5\u30e9\u306b\u3064\u3044\u3066\u3082\u8aac\u660e\u3057\u307e\u3059)\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}(X_1,&#8230;,X_d)} $$<\/div><span title=\"\u72ec\u7acb\uff08\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\uff09\">\u72ec\u7acb\u3057\u305f<\/span>\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u304c\u3042\u308b\u5834\u5408\u306b\u9650\u308a\u3001 <div class=\"math-formual notranslate\">$$ {\\mathcal{}\\Pi} $$<\/div>\u30d9\u30af\u30c8\u30eb\u306e\u30b3\u30d4\u30e5\u30e9\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal{}(X_1,&#8230;,X_d)} $$<\/div> \u3002<\/p><table cellpadding=\"0\" cellspacing=\"0\"><tr><td><div><div>\u8b66\u5b98-indep-3d.jpg<\/div><div><p><span title=\"\u72ec\u7acb\u3057\u305f\u30b3\u30d4\u30e5\u30e9 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u72ec\u7acb\u3057\u305f\u30b3\u30d4\u30e5\u30e9<\/span><\/p><\/div><\/div><\/td><td><div><div><p><span title=\"\u72ec\u7acb\u3057\u305f\u30b3\u30d4\u30e5\u30e9 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u72ec\u7acb\u3057\u305f\u30b3\u30d4\u30e5\u30e9<\/span><\/p><\/div><\/div><\/td><\/tr><\/table><p>\u30b3\u30e2\u30ce\u30c8\u30fc\u30f3\u30b3\u30d4\u30e5\u30e9\u3001\u307e\u305f\u306f\u6700\u5c0f\u30b3\u30d4\u30e5\u30e9\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}M(u_1,&#8230;,u_d)=min\\{u_1,&#8230;.,u_d\\}} $$<\/div> \u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}M} $$<\/div>\u30d9\u30af\u30c8\u30eb\u306e\u30b3\u30d4\u30e5\u30e9\u3067\u3059<div class=\"math-formual notranslate\">$$ {\\mathcal{}(X_1,&#8230;,X_d)} $$<\/div>\u5909\u5316\u304c\u5897\u52a0\u3057\u3066\u3044\u308b\u5834\u5408\u306b\u306e\u307f<div class=\"math-formual notranslate\">$$ {\\mathcal{}g_{i,j}} $$<\/div>\u306e\u3088\u3046\u306a<div class=\"math-formual notranslate\">$$ {\\mathcal{}X_i=g_{i,j}(X_j)} $$<\/div> \u3002\u3053\u306e\u30b3\u30d4\u30e5\u30e9\u306f\u3001\u4efb\u610f\u306e\u30b3\u30d4\u30e5\u30e9\u306b\u5bfe\u3057\u3066\u6b21\u306e<span><a href=\"https:\/\/science-hub.click\/?p=81037\">\u610f\u5473<\/a><\/span>\u3067\u3001 Fr\u00e9chet- <span title=\"\u30d8\u30d5\u30c7\u30a3\u30f3\u30b0 (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">Hoeffding<\/span>\u306e\u4e0a\u9650\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}C} $$<\/div> \u3001 <div class=\"math-formual notranslate\">$$ {C(u_1,&#8230;,u_d)\\leq M(u_1,&#8230;,u_d)} $$<\/div> \u3002<\/p><table cellpadding=\"0\" cellspacing=\"0\"><tr><td><div><div><p><span title=\"\u30b3\u30e2\u30ce\u30c8\u30fc\u30f3\u30fb\u30b3\u30d4\u30e5\u30e9 (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30b3\u30e2\u30ce\u30c8\u30fc\u30f3\u30b3\u30d4\u30e5\u30e9<\/span><\/p><\/div><\/div><\/td><td><div><div><p><span title=\"\u30b3\u30e2\u30ce\u30c8\u30fc\u30f3\u30fb\u30b3\u30d4\u30e5\u30e9 (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30b3\u30e2\u30ce\u30c8\u30fc\u30f3\u30b3\u30d4\u30e5\u30e9<\/span><\/p><\/div><\/div><\/td><\/tr><\/table><p>\u30b3\u30d4\u30e5\u30e9\u306e\u7279\u306b\u91cd\u8981\u306a\u30af\u30e9\u30b9\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u308b<span title=\"\u30a2\u30eb\u30ad\u30e1\u30c7\u30b9 (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30a2\u30eb\u30ad\u30e1\u30c7\u30b9<\/span>\u306e\u30b3\u30d4\u30e5\u30e9\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}C(u_1,&#8230;,u_d)=\\phi^{-1}(\\phi(u_1)+&#8230;+\\phi(u_d))} $$<\/div> \u3001 \u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {\\mathcal{}\\phi} $$<\/div> (<span title=\"\u30a2\u30eb\u30ad\u30e1\u30c7\u30a3\u30a8\u30f3\u30cc (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30a2\u30eb\u30ad\u30e1\u30c7\u30b9\u306e<\/span>\u30b3\u30d4\u30e5\u30e9\u306e\u30b8\u30a7\u30cd\u30ec\u30fc\u30bf\u30fc\u3068\u547c\u3070\u308c\u308b) \u306f\u5c11\u306a\u304f\u3068\u3082<div class=\"math-formual notranslate\">$$ {\\mathcal{}d-2} $$<\/div>\u56de\u9023\u7d9a\u5fae\u5206\u53ef\u80fd\u3001\u305d\u306e\u5c0e\u95a2\u6570<div class=\"math-formual notranslate\">$$ {\\mathcal{}d-2} $$<\/div>\u51f8\u304c\u6e1b\u5c11\u3057\u3066\u304a\u308a\u3001 <div class=\"math-formual notranslate\">$$ {\\mathcal{}\\phi(1)=0} $$<\/div> \u3002<\/p><p>\u3053\u306e\u30b8\u30a7\u30cd\u30ec\u30fc\u30bf\u30fc\u306f\u3001(\u6b63\u306e) \u4e57\u7b97\u5b9a\u6570\u307e\u3067\u306f\u4e00\u610f\u3067\u3059\u3002\u6bd4\u8f03\u7684\u5927\u304d\u306a\u30b5\u30d6\u30af\u30e9\u30b9\u306f\u6b21\u306e\u5834\u5408\u306b\u53d6\u5f97\u3055\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}\\phi} $$<\/div>\u306f\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306e\u9006\u5909\u63db\u3067\u3059 (\u968e\u4e57\u89e3\u91c8\u304c\u53ef\u80fd\u3067\u3059)\u3002\u7279\u6b8a\u306a\u5834\u5408\u306e\u4e2d\u306b\u306f\u3001<\/p><ul><li>\u6b21\u306e\u5834\u5408\u306b\u5f97\u3089\u308c\u308b<span title=\"\u72ec\u7acb\uff08\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\uff09\">\u72ec\u7acb\u3057\u305f<\/span>\u30b3\u30d4\u30e5\u30e9<div class=\"math-formual notranslate\">$$ {\\mathcal{} \\phi(t) = -\\log(t)  } $$<\/div> \u3001<\/li><\/ul><ul><li><span title=\"\u30c7\u30d3\u30c3\u30c9 G. \u30af\u30ec\u30a4\u30c8\u30f3 (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30af\u30ec\u30a4\u30c8\u30f3<\/span>\u30b3\u30d4\u30e5\u30e9\u304c\u5f97\u3089\u308c\u305f\u3068\u304d<div class=\"math-formual notranslate\">$$ {\\mathcal{} \\phi(t) = \\frac{t^{-\\alpha}-1}{\\alpha} } $$<\/div> \u3001 \u3068<div class=\"math-formual notranslate\">$$ {\\mathcal{}\\alpha\\geq -1} $$<\/div> \u3002\u3053\u306e\u5834\u5408\u3001\u30b8\u30a7\u30cd\u30ec\u30fc\u30bf\u30fc\u306f\u30ac\u30f3\u30de\u306e\u6cd5\u5247\u306e\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306e\u9006\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u30b3\u30d4\u30e5\u30e9\u306f\u3001\u5207\u308a\u8a70\u3081\u306b\u3088\u3063\u3066\u4e0d\u5909\u3068\u306a\u308b\u552f\u4e00\u306e\u30a2\u30eb\u30ad\u30e1\u30c7\u30b9\u306e\u30b3\u30d4\u30e5\u30e9\u3067\u3059\u3002<\/li><\/ul><ul><li><span title=\"\u30ac\u30f3\u30d9\u30eb (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30ac\u30f3\u30d9\u30eb<\/span>\u30b3\u30d4\u30e5\u30e9\u304c\u5f97\u3089\u308c\u305f\u3068\u304d<div class=\"math-formual notranslate\">$$ {\\mathcal{} \\phi(t) = (-\\log(t)) ^\\alpha } $$<\/div> \u3001 \u3068<div class=\"math-formual notranslate\">$$ {\\mathcal{}\\alpha\\geq 0} $$<\/div> \u3002<\/li><\/ul><p>\u751f\u6210\u5668\u306f\u3001\u5b89\u5b9a\u6cd5\u5247\u306e\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306e\u9006\u5909\u63db\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u30b3\u30d4\u30e5\u30e9\u306f\u3001\u6700\u5927\u5b89\u5b9a\u6027\u306e\u7279\u6027\u3092\u691c\u8a3c\u3059\u308b\u552f\u4e00\u306e\u30a2\u30eb\u30ad\u30e1\u30c7\u30b9\u306e\u30b3\u30d4\u30e5\u30e9\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathcal{}C(u^n_1,&#8230;,u^n_d)=C^n(u_1,&#8230;,u_d)} $$<\/div> \u3001\u3059\u3079\u3066\u306b\u3064\u3044\u3066<div class=\"math-formual notranslate\">$$ {\\mathcal{}n\\geq 1} $$<\/div> \u3001<\/p><ul><li>\u30d5\u30e9\u30f3\u30af\u30fb\u30b3\u30d4\u30e5\u30e9\u304c\u5f97\u3089\u308c\u305f\u3068\u304d<div class=\"math-formual notranslate\">$$ {\\mathcal{} \\phi(t) = -\\log\\frac{e^{-\\alpha t}-1 }{e^{-\\alpha }-1 }   } $$<\/div> \u3002\u3053\u306e\u30b3\u30d4\u30e5\u30e9\u306f\u552f\u4e00\u4e0b\u5c3e\u3068\u4e0a\u5c3e\u304c\u5bfe\u79f0\u306b\u306a\u3063\u3066\u304a\u308a\u3001<\/li><\/ul><table cellpadding=\"0\" cellspacing=\"0\"><tr><td><div><div>\u8b66\u5b98\u30d5\u30e9\u30f3\u30af\u5bc6\u5ea6.JPG<\/div><div><p><span title=\"\u30d5\u30e9\u30f3\u30af\u306e\u30b3\u30d4\u30e5\u30e9 (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30d5\u30e9\u30f3\u30af\u306e\u30b3\u30d4\u30e5\u30e9<\/span><\/p><\/div><\/div><\/td><td><div><div>\u8b66\u5b98\u30af\u30ec\u30a4\u30c8\u30f3\u5bc6\u5ea6.JPG<\/div><div><p><span title=\"\u30af\u30ec\u30a4\u30c8\u30f3\u30fb\u30b3\u30d4\u30e5\u30e9 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30af\u30ec\u30a4\u30c8\u30f3\u30fb\u30b3\u30d4\u30e5\u30e9<\/span><\/p><\/div><\/div><\/td><td><div><div>\u8b66\u5b98\u30ac\u30f3\u30d9\u30eb\u5bc6\u5ea6.JPG<\/div><div><p><span title=\"\u30ac\u30f3\u30d9\u30eb\u30b3\u30d4\u30e5\u30e9 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30ac\u30f3\u30d9\u30eb\u30b3\u30d4\u30e5\u30e9<\/span><\/p><\/div><\/div><\/td><\/tr><\/table><table cellpadding=\"0\" cellspacing=\"0\"><tr><td><div><div><p><span title=\"\u30d5\u30e9\u30f3\u30af\u306e\u30b3\u30d4\u30e5\u30e9 (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30d5\u30e9\u30f3\u30af\u306e\u30b3\u30d4\u30e5\u30e9<\/span><\/p><\/div><\/div><\/td><td><div><div><p><span title=\"\u30af\u30ec\u30a4\u30c8\u30f3\u30fb\u30b3\u30d4\u30e5\u30e9 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30af\u30ec\u30a4\u30c8\u30f3\u30fb\u30b3\u30d4\u30e5\u30e9<\/span><\/p><\/div><\/div><\/td><td><div><div><p><span title=\"\u30ac\u30f3\u30d9\u30eb\u30b3\u30d4\u30e5\u30e9 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30ac\u30f3\u30d9\u30eb\u30b3\u30d4\u30e5\u30e9<\/span><\/p><\/div><\/div><\/td><\/tr><\/table><p>\u6955\u5186\u30b3\u30d4\u30e5\u30e9&#8230;<\/p><table cellpadding=\"0\" cellspacing=\"0\"><tr><td><div><div><p><span title=\"\u30ac\u30a6\u30b9 \u30b3\u30d4\u30e5\u30e9 (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30ac\u30a6\u30b9 \u30b3\u30d4\u30e5\u30e9<\/span><\/p><\/div><\/div><\/td><td><div><div><p><span title=\"\u5b66\u751f\u306e\u30b3\u30d4\u30e5\u30e9 (t) (\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u5b66\u751f\u306e\u30b3\u30d4\u30e5\u30e9 (t)<\/span><\/p><\/div><\/div><\/td><\/tr><\/table><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Copula_(Mathematik)\">Copula (Mathematik) \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/el.wikipedia.org\/wiki\/%CE%9A%CE%BF%CF%80%CE%BF%CF%8D%CE%BB%CE%B1_(%CE%B8%CE%B5%CF%89%CF%81%CE%AF%CE%B1_%CF%80%CE%B9%CE%B8%CE%B1%CE%BD%CE%BF%CF%84%CE%AE%CF%84%CF%89%CE%BD)\">\u039a\u03bf\u03c0\u03bf\u03cd\u03bb\u03b1 (\u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c0\u03b9\u03b8\u03b1\u03bd\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd) \u2013 grec<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Copula_(statistics)\">Copula (statistics) \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/C%C3%B3pulas_(teor%C3%ADa_de_probabilidad)\">C\u00f3pulas (teor\u00eda de probabilidad) \u2013 espagnol<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/fa.wikipedia.org\/wiki\/%D9%85%D9%81%D8%B5%D9%84_(%D8%A2%D9%85%D8%A7%D8%B1)\">\u0645\u0641\u0635\u0644 (\u0622\u0645\u0627\u0631) \u2013 persan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/hu.wikipedia.org\/wiki\/Kopula_(val%C3%B3sz%C3%ADn%C5%B1s%C3%A9gsz%C3%A1m%C3%ADt%C3%A1s)\">Kopula (val\u00f3sz\u00edn\u0171s\u00e9gsz\u00e1m\u00edt\u00e1s) \u2013 hongrois<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u30b3\u30d4\u30e5\u30e9 (\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u3010\u8ad6\u7406\u5b66\u3011\u6b63\u8ad6\u307d\u3044\u306e\u306b\u8aac\u5f97\u529b\u306e\u306a\u3044\u4eba\u304c\u8b70\u8ad6\u306b\u4f7f\u3046\u6700\u5f37\u306e\u8a6d\u5f01\u8853\uff14\u9078\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/mK3Tnxh4Kho?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5c0e\u5165 \u7d71\u8a08\u5b66\u306b\u304a\u3044\u3066\u3001\u30b3\u30d4\u30e5\u30e9\u306f\u78ba\u7387\u8ad6\u304b\u3089\u306e\u6570\u5b66\u7684\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3067\u3059\u3002\u30b3\u30d4\u30e5\u30e9\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b21\u306e\u5024\u3092\u6301\u3064\u78ba\u7387\u5909\u6570\u306e\u7570\u306a\u308b\u5ea7\u6a19\u9593\u306e\u4f9d\u5b58\u95a2\u4fc2\u3092\u7279\u5fb4\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 $$ {\\R^d} $$ \u9650\u754c\u6cd5\u5247\u3092\u6c17\u306b\u3059\u308b\u3053\u3068\u306a\u304f\u3002  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":60128,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/wmefJnbIBqg\/0.jpg","fifu_image_alt":"\u30b3\u30d4\u30e5\u30e9 (\u6570\u5b66)\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[56951,11,13,14,10,56952,12,8,1013,16,15,9],"class_list":["post-60127","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-logiciel-de-modelisation-3d","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-pieve-torina","tag-dossier","tag-definition","tag-mathematiques","tag-sciences","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/60127"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=60127"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/60127\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/60128"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=60127"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=60127"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=60127"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}