{"id":49661,"date":"2024-06-27T20:03:39","date_gmt":"2024-06-27T20:03:39","guid":{"rendered":"https:\/\/science-hub.click\/%E3%83%AB%E3%83%BB%E3%82%AB%E3%83%A0%E3%81%AE%E4%B8%8D%E7%AD%89%E5%BC%8F%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":"2024-06-27T20:03:39","modified_gmt":"2024-06-27T20:03:39","slug":"%E3%83%AB%E3%83%BB%E3%82%AB%E3%83%A0%E3%81%AE%E4%B8%8D%E7%AD%89%E5%BC%8F%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=49661","title":{"rendered":"\u30eb\u30fb\u30ab\u30e0\u306e\u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><p>\u30eb \u30ab\u30e0\u306e\u4e0d\u7b49\u5f0f\u306f\u3001\u30eb\u30b7\u30a2\u30f3 \u30eb \u30ab\u30e0\u306b\u3088\u308b\u3082\u306e\u3067\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u304c\u5c0f\u3055\u3044\u591a\u6570\u306e\u72ec\u7acb\u3057\u305f\u30d9\u30eb\u30cc\u30fc\u30a4\u5909\u6570\u306e\u5408\u8a08\u306e\u6cd5\u5247\u304c\u30dd\u30a2\u30bd\u30f3\u306e\u6cd5\u5247\u306b\u53ce\u675f\u3059\u308b\u901f\u5ea6\u3092\u6307\u5b9a\u3057\u307e\u3059\u3002\u5f7c\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u306f\u3001\u6d17\u7df4\u3055\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u3042\u307e\u308a\u8a08\u7b97\u3092\u5fc5\u8981\u3068\u305b\u305a\u3001Wolfgang D\u00f6blin \u306b\u3088\u3063\u3066\u666e\u53ca\u3055\u308c\u305f<span title=\"\u30ab\u30c3\u30d7\u30ea\u30f3\u30b0\uff08\u78ba\u7387\uff09\uff08\u30da\u30fc\u30b8\u304c\u5b58\u5728\u3057\u307e\u305b\u3093\uff09\">\u7d50\u5408<\/span>\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30eb\u30fb\u30ab\u30e0\u306e\u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/8VuYC4yX-SQ\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u58f0\u660e<\/h2><p>\u3069\u3061\u3089\u304b<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ (X_{1,n},  X_{2,n},\\dots, X_{a_n,n})_{n\\ge 1}\\ } $$<\/div>\u72ec\u7acb\u3057\u305f\u30d9\u30eb\u30cc\u30fc\u30a4\u78ba\u7387\u5909\u6570\u3068\u305d\u308c\u305e\u308c\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306e\u30c6\u30fc\u30d6\u30eb<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\   p_{k,n}.\\ } $$<\/div>\u6ce8\u610f\u3057\u307e\u3059<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {S_n=\\sum_{k=1}^{a_n}\\,X_{k,n}\\quad\\text{et}\\quad\\lambda_n\\  =\\ \\mathbb{E}[S_n]=\\sum_{k=1}^{a_n}\\,p_{k,n}.\\ } $$<\/div><\/dd><\/dl><p>\u305d\u308c\u3067<\/p><div><p><strong><span><a href=\"https:\/\/science-hub.click\/?p=49661\">Le Cam \u4e0d\u7b49\u5f0f<\/a><\/span><\/strong><span>\u2014<\/span>\u81ea\u7136\u6574\u6570\u306e<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u4efb\u610f<\/a><\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u96c6\u5408<\/a><\/span><i>A<\/i>\u306b\u3064\u3044\u3066\u3001 <\/p><center><div class=\"math-formual notranslate\">$$ {\\left|\\mathbb{P}\\left(S_n\\in  A\\right)-\\sum_{\\ell\\in   A}\\,\\frac{\\lambda_n^\\ell\\,e^{-\\lambda_n}}{\\ell!}\\right|\\   \\le\\ \\sum_{k=1}^{a_n}\\,p_{k,n}^2.} $$<\/div><\/center><p>\u7279\u306b\u3001\u6b21\u306e 2 \u3064\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u308b\u3068\u3059\u3050\u306b\u3001 <i>S <sub>n \u306f<\/sub><\/i><span><a href=\"https:\/\/science-hub.click\/?p=25840\">\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<\/a><\/span><i>\u03bb \u3092<\/i>\u4f34\u3046<span><a href=\"https:\/\/science-hub.click\/?p=38010\">\u30dd\u30a2\u30bd\u30f3\u306e\u6cd5\u5247<\/a><\/span>\u306b\u8fd1\u4f3c\u306b\u5f93\u3044\u307e\u3059\u3002 <\/p><ul><div class=\"math-formual notranslate\">$$ {\\lim_n \\lambda_n\\,=\\,\\lambda&gt;0,\\  } $$<\/div><li><div class=\"math-formual notranslate\">$$ {\\lim_n  \\sum_{k=1}^{a_n}\\,p_{k,n}^2\\,=\\,0.\\  } $$<\/div><\/li><\/ul><\/div><p>\u305d\u308c\u306b\u5fdc\u3058\u3066\u3001<\/p><center><\/center><h2>\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<\/h2><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30eb\u30fb\u30ab\u30e0\u306e\u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/7G5bco0OJB4\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u30d9\u30eb\u30cc\u30fc\u30a4\u306e\u6cd5\u5247\u3068<span><a href=\"https:\/\/science-hub.click\/?p=33270\">\u30dd\u30a2\u30bd\u30f3\u306e<\/a><\/span>\u6cd5\u5247\u306e\u7d50\u5408<\/span><\/h3><p>\u3053\u306e\u30a2\u30a4\u30c7\u30a2\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=74977\">\u78ba\u7387\u6cd5\u5247<\/a><\/span><i>\u03bc <sub>p<\/sub>\u3092<\/i>\u5e73\u9762\u4e0a\u306b\u793a\u3057\u3001\u305d\u306e\u6700\u521d\u306e\u5468\u7e01\u306f<span><a href=\"https:\/\/science-hub.click\/?p=85053\">\u30d9\u30eb\u30cc\u30fc\u30a4\u306e\u6cd5\u5247<\/a><\/span>\u3001 <span><a href=\"https:\/\/science-hub.click\/?p=68283\">2 \u756a\u76ee\u306e<\/a><\/span>\u5468\u7e01\u306f\u30dd\u30a2\u30bd\u30f3\u6cd5\u5247\u3001\u4e21\u65b9\u306e\u671f\u5f85\u5024<i>p<\/i> \u3001\u305f\u3068\u3048\u3070\u6700\u521d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=109069\">\u4e8c\u7b49\u5206\u7dda<\/a><\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=108253\">\u91cd\u307f<\/a><\/span>\u304c\u6700\u5927\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\u3053\u3068\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308c<i>\u3070<\/i>\u3001\u9069\u5207\u306b<i>\u9078\u629e\u3055\u308c\u305f<\/i><span><a href=\"https:\/\/science-hub.click\/?p=1934\">\u78ba\u7387\u7a7a\u9593<\/a><\/span>\u4e0a\u3067 2 \u3064\u306e\u5b9f\u969b\u306e\u78ba\u7387<i>\u5909\u6570<\/i><i>X<\/i>\u3068<i>Y \u3092<\/i>\u69cb\u7bc9\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a<i>\u307e\u3059<\/i>\u3002 <div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\mathbb{P}(X\\neq Y)\\ } $$<\/div>\u6700\u5c0f\u3067\u3042\u308b\u304b\u3001\u5c11\u306a\u304f\u3068\u3082\u5341\u5206\u306b\u5c0f\u3055\u3044<i>\u03bc <sub>p \u306f<\/sub><\/i>\u3001\u30ab\u30c3\u30d7\u30eb<i>(X,Y)<\/i>\u306e\u7d50\u5408\u6cd5\u5247\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u308c\u306f\u660e\u3089\u304b\u3067\u3059<\/p><center><div class=\"math-formual notranslate\">$$ {\\mathbb{P}(X=Y=k)\\le \\min\\left(\\mathbb{P}(X=k),\\mathbb{P}(Y=k)\\right),} $$<\/div><\/center><p>\u3068\u306a\u308b\u3053\u3068\u306b\u3088\u3063\u3066<\/p><center><div class=\"math-formual notranslate\">$$ {\\mathbb{P}(X=Y)\\le \\sum_k\\ \\min\\left(\\mathbb{P}(X=k),\\mathbb{P}(Y=k)\\right).} $$<\/div><\/center><p>\u30dd\u30a2\u30bd\u30f3-\u30d9\u30eb\u30cc\u30fc\u30a4\u306e\u5834\u5408\u3001\u3053\u306e\u9650\u754c\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=96697\">\u30eb\u30d9\u30fc\u30b0\u6e2c\u5ea6<\/a><\/span>\u3067\u63d0\u4f9b\u3055\u308c\u308b\u533a\u9593<i>]0,1[<\/i>\u3067<i>X<\/i>\u3068<i>Y \u3092<\/i>\u69cb\u7bc9\u3059\u308b\u305f\u3081\u306b\u3001<span><a href=\"https:\/\/science-hub.click\/?p=94311\">\u9006<\/a><\/span><span>\u5b9a\u7406<\/span>\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5230\u9054\u3055\u308c\u307e\u3059\u3002\u305d\u308c\u3067<\/p><center><div class=\"math-formual notranslate\">$$ {X(\\omega)\\ =\\ 1\\!\\!1_{[1-p,1[}(\\omega),} $$<\/div><\/center><p>\u305d\u306e\u9593<\/p><center><div class=\"math-formual notranslate\">$$ {Y(\\omega)\\ =\\  1\\!\\!1_{[e^{-p},(1+p)e^{-p}[}(\\omega)\\,+\\,2\\,1\\!\\!1_{[(1+p)e^{-p},(1+p+(p^2\/2))e^{-p}[}(\\omega)\\,+\\,\\dots,} $$<\/div><\/center><p>\u3053\u306e\u5834\u5408\u3001 <i>X<\/i>\u3068<i>Y \u306f<\/i>\u6b21\u306e\u9593\u9694\u3067\u4e00\u81f4\u3057\u307e\u3059\u3002<\/p><ul><li> <i>]0,1-p[<\/i> \u30012 \u3064\u306e\u5909\u6570\u306e\u4fa1\u5024\u306f 0\u3001<\/li><li>\u304a\u3088\u3073<i>[e <sup>-p<\/sup> ,(1+p)e <sup>-p<\/sup> [<\/i> \u3001\u3053\u3053\u3067 2 \u3064\u306e\u5909\u6570\u306f 1 \u306b\u7b49\u3057\u3044\u3002<\/li><\/ul><p> 2 \u3064\u306e\u5909\u6570\u306f\u3001\u3053\u308c\u3089 2 \u3064\u306e\u533a\u9593\u306e<span><a href=\"https:\/\/science-hub.click\/?p=67229\">\u548c\u96c6\u5408<\/a><\/span>\u306e\u88dc\u6570\u3001\u3064\u307e\u308a<i>[1-p,1[ \\ [e <sup>-p<\/sup> ,(1+p)e <sup>-p<\/sup> [ ]<\/i>\u3067\u7570\u306a\u308a\u307e\u3059\u3002\u305d\u308c\u3067\u3001 <\/p><center><div class=\"math-formual notranslate\">$$ {\\mathbb{P}(X=Y)= \\sum_k\\ \\min\\left({\\scriptstyle\\mathbb{P}(X=k),\\mathbb{P}(Y=k)}\\right)=\\min(1-p,e^{-p})+\\min(p,pe^{-p})=1-p+pe^{-p},} $$<\/div><\/center><p>\u305d\u3057\u3066<\/p><center><div class=\"math-formual notranslate\">$$ {\\mu_p(\\{(x,y)\\,|\\,x\\neq y\\})\\ =\\ \\mathbb{P}(X\\neq Y)\\ =\\  p\\left(1-e^{-p}\\right)\\ \\le\\ p^2.} $$<\/div><\/center><h3><span>\u7d50\u8ad6<\/span><\/h3><p>\u4e00\u9023\u306e\u72ec\u7acb\u3057\u305f\u78ba\u7387\u5909\u6570\u304c\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ (Z_{k,n})_{1\\le k\\le n},\\ } $$<\/div>\u5404\u9805\u306e\u78ba\u7387\u5247\u306a\u3069\u306e\u5e73\u9762\u5185\u306e\u5024\u3092\u6301\u3064<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ Z_{k,n}\\ } $$<\/div>\u6b21\u306e\u3046\u3061\u306e\u306f<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\mu_{p_{k,n}}.\\ } $$<\/div>\u6ce8\u610f\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ X_{k,n}\\ } $$<\/div>\u305d\u3057\u3066<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ Y_{k,n}\\ } $$<\/div>\u306e 2 \u3064\u306e\u5ea7\u6a19<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ Z_{k,n},\\ } $$<\/div>\u305d\u3057\u3066\u79c1\u305f\u3061\u306f\u7f6e\u304d\u307e\u3059<\/p><center><div class=\"math-formual notranslate\">$$ {W_n=\\sum_{k=1}^{a_n}\\,Y_{k,n}.} $$<\/div><\/center><p>\u305d\u308c\u3067 \uff1a<\/p><ul><li>\u30b6<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ X_{k,n}\\ } $$<\/div>\u72ec\u7acb\u3057\u3066\u304a\u308a\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u30d9\u30eb\u30cc\u30fc\u30a4\u306e\u6cd5\u5247\u306b\u5f93\u3044\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ p_{k,n}\\\u00a0;} $$<\/div><\/li><li>\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u308c\u3089\u306e\u5408\u8a08<i>S <sub>n<\/sub><\/i>\u306b\u306f\u3001\u79c1\u305f\u3061\u304c\u7814\u7a76\u3057\u305f\u3044\u6cd5\u5247\u304c\u3042\u308a\u307e\u3059\u3002<\/li><li>\u30b6<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ Y_{k,n}\\ } $$<\/div>\u72ec\u7acb\u3057\u3066\u304a\u308a\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u30dd\u30a2\u30bd\u30f3\u306e\u6cd5\u5247\u306b\u5f93\u3044\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ p_{k,n}\\\u00a0;} $$<\/div><\/li><li> <i>W <sub>n \u306f<\/sub><\/i>\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306b\u5f93\u3044\u307e\u3059<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\lambda_n\\ =\\ \\sum_{k=1}^{a_n}\\,p_{k,n},\\ } $$<\/div>\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u4f9d\u5b58\u3057\u306a\u3044\u30dd\u30a2\u30bd\u30f3\u5909\u6570\u306e\u5408\u8a08<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ p_{k,n}\\\u00a0;} $$<\/div><\/li><li>\u7279\u306b\u3001\u6b21\u306b\u3064\u3044\u3066\u63d0\u6848\u3055\u308c\u305f<span><a href=\"https:\/\/science-hub.click\/?p=33686\">\u8fd1\u4f3c\u306f<\/a><\/span>\u3001 <div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\mathbb{P}\\left(S_n\\in  A\\right)\\ } $$<\/div>\u305f\u307e\u305f\u307e\u6b21\u306e\u3068\u304a\u308a\u3067\u3059: <\/li><\/ul><center><div class=\"math-formual notranslate\">$$ {\\mathbb{P}\\left(W_n\\in  A\\right)\\ =\\ \\sum_{\\ell\\in   A}\\,\\frac{\\lambda_n^\\ell\\,e^{-\\lambda_n}}{\\ell!}\\\u00a0;} $$<\/div><\/center><ul><li><div class=\"math-formual notranslate\">$$ {\\scriptstyle\\ \\mathbb{P}(X_{k,n}\\neq Y_{k,n})\\ \\le\\ p_{k,n}^2.} $$<\/div><\/li><\/ul><p>\u6211\u3005\u306f\u6301\u3063\u3066\u3044\u307e\u3059<\/p><center><div class=\"math-formual notranslate\">$$ {\\begin{align} \\mathbb{P}\\left(S_n\\in  A\\right)-\\mathbb{P}\\left(W_n\\in  A\\right)&amp;\\le\\mathbb{P}\\left(S_n\\in  A\\right)-\\mathbb{P}\\left(W_n\\in  A\\text{ et }S_n\\in  A\\right) \\\\ &amp;=\\mathbb{P}\\left(S_n\\in   A\\text{ et }W_n\\notin  A\\right) \\\\ &amp;\\le\\mathbb{P}\\left(S_n\\neq W_n\\right) \\end{align}} $$<\/div><\/center><p>\u305d\u3057\u3066\u3001 <i>W <sub>n<\/sub><\/i>\u306e\u5f79\u5272\u3068<i>S <sub>n<\/sub><\/i>\u306e\u5f79\u5272\u3092\u4ea4\u63db\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001 <\/p><center><div class=\"math-formual notranslate\">$$ {\\left| \\mathbb{P}\\left(S_n\\in  A\\right)-\\mathbb{P}\\left(W_n\\in  A\\right)\\right|\\le\\mathbb{P}\\left(S_n\\neq W_n\\right). } $$<\/div><\/center><p>\u3055\u3089\u306b\u3001 <\/p><center><div class=\"math-formual notranslate\">$$ {\\{S_n\\neq W_n\\}\\ \\Rightarrow\\ \\left\\{\\exists k\\text{ tel que }X_{k,n}\\neq Y_{k,n}\\right\\},} $$<\/div><\/center><p>\u79c1\u305f\u3061\u306f\u305d\u308c\u3092\u63a8\u6e2c\u3057\u307e\u3059<\/p><center><div class=\"math-formual notranslate\">$$ {\\{\\omega\\in\\Omega\\,|\\,S_n(\\omega)\\neq W_n(\\omega)\\}\\ \\subset\\ \\bigcup_{1\\le k\\le a_n}\\left\\{\\omega\\in\\Omega\\,|\\,X_{k,n}(\\omega)\\neq Y_{k,n}(\\omega)\\right\\},} $$<\/div><\/center><p>\u6700\u7d42\u7684\u306b<\/p><center><div class=\"math-formual notranslate\">$$ { \\mathbb{P}\\left(S_n\\neq W_n\\right)\\ \\le\\ \\sum_{1\\le k\\le a_n}\\mathbb{P}\\left(\\,X_{k,n}\\neq Y_{k,n}\\right)\\ \\le\\ \\sum_{1\\le k\\le a_n}\\ p_{k,n}^2. } $$<\/div><\/center><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30eb\u30fb\u30ab\u30e0\u306e\u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/AcL2Pz1n9bs\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u7d50\u679c: \u30dd\u30a2\u30bd\u30f3\u30d1\u30e9\u30c0\u30a4\u30e0<\/h2><p>\u805e\u3044\u3066\u307f\u307e\u3057\u3087\u3046<\/p><dl><dd><div class=\"math-formual notranslate\">$$ {M_n=\\max_{1\\le k\\le a_n}\\,p_{k,n}.} $$<\/div><\/dd><\/dl><p>\u6b21\u306e\u3088\u3046\u306a\u4e0d\u5e73\u7b49\u304c\u3042\u308a\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {M_n^2\\le\\sum_{1\\le  k\\le a_n}\\,p_{k,n}^2\\le M_n\\lambda_n,\\quad\\text{et}\\quad a_n\\ge \\lambda_n\/M_n,} $$<\/div><\/dd><\/dl><p>\u3057\u305f\u304c\u3063\u3066\u3001\u4e0a\u8a18\u306e 2 \u3064\u306e\u6761\u4ef6\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p><ul><li><div class=\"math-formual notranslate\">$$ {\\lim_n  M_n\\,=\\,0,\\  } $$<\/div><\/li><li><div class=\"math-formual notranslate\">$$ {\\lim_n  a_n\\,=\\,+\\infty.\\  } $$<\/div><\/li><\/ul><div><p><strong>\u7d50\u679c: \u30dd\u30a2\u30bd\u30f3\u30d1\u30e9\u30c0\u30a4\u30e0<\/strong><span>\u2014<\/span>\u5c0f\u3055\u306a\u30d1\u30e9\u30e1\u30fc\u30bf\u306e<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u591a\u6570<\/a><\/span>\u306e\u72ec\u7acb\u30d9\u30eb\u30cc\u30fc\u30a4\u5909\u6570\u306e\u5408\u8a08<i>S <sub>n \u306f<\/sub><\/i>\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u30dd\u30a2\u30bd\u30f3\u5206\u5e03\u306b\u307b\u307c\u5f93\u3046<div class=\"math-formual notranslate\">$$ {\\scriptstyle\\  \\mathbb{E}[S_n]. \\ } $$<\/div><\/p><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30eb\u30fb\u30ab\u30e0\u306e\u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/-qkFAXLKs0s\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u5099\u8003<\/span><\/h3><ul><li>\u3053\u306e\u7279\u6027\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=103037\">\u30e9\u30f3\u30c0\u30e0<\/a><\/span>\u306b\u63cf\u753b\u3055\u308c\u305f<span><a href=\"https:\/\/science-hub.click\/?p=49311\">\u9806\u5217<\/a><\/span>\u306e\u56fa\u5b9a\u70b9\u306e\u6570\u306e\u5834\u5408\u306b\u898b\u3089\u308c\u308b\u3088\u3046\u306b\u3001\u72ec\u7acb\u6027\u306e\u4eee\u5b9a\u3092\u7de9\u548c\u3057\u3066\u3082\u771f\u306e\u307e\u307e\u3067\u3042\u308a\u5f97\u307e\u3059\u3002\u30dd\u30a2\u30bd\u30f3 \u30d1\u30e9\u30c0\u30a4\u30e0\u306f\u3055\u307e\u3056\u307e\u306a\u65b9\u5411\u306b\u4e00\u822c\u5316\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/li><li> Le Cam \u306e\u4e0d\u7b49\u5f0f\u306e\u7279\u5b9a\u306e\u30b1\u30fc\u30b9<i>a <sub>n<\/sub> =n\u3001\u03bb <sub>n<\/sub> =\u03bb\/n \u306f\u3001<\/i>\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<i>n<\/i>\u304a\u3088\u3073<i>\u03bb\/n<\/i>\u306b\u3088\u308b<span><a href=\"https:\/\/science-hub.click\/?p=4678\">\u4e8c\u9805\u6cd5\u5247<\/a><\/span>\u304c\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<i>\u03bb<\/i>\u306b\u3088\u308b\u30dd\u30a2\u30bd\u30f3\u6cd5\u5247\u306b<span>\u53ce\u675f\u3059\u308b<\/span>\u901f\u5ea6\u3092\u6307\u5b9a\u3057\u307e\u3059\u3002<\/li><\/ul><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Teorema_de_Le_Cam\">Teorema de Le Cam \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Le_Cam%27s_theorem\">Le Cam&#8217;s theorem \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/Teorema_de_Le_Cam\">Teorema de Le Cam \u2013 espagnol<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Nerovnost\">Nerovnost \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/da.wikipedia.org\/wiki\/Ulighed\">Ulighed \u2013 danois<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Ungleichheit\">Ungleichheit \u2013 allemand<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u30eb\u30fb\u30ab\u30e0\u306e\u4e0d\u7b49\u5f0f\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=\"\u30d9\u30eb\u306e\u4e0d\u7b49\u5f0f\u3068\u306f\u4f55\u304b(CHSH\u4e0d\u7b49\u5f0f)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/O99Zy-6YwoU?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 \u30eb \u30ab\u30e0\u306e\u4e0d\u7b49\u5f0f\u306f\u3001\u30eb\u30b7\u30a2\u30f3 \u30eb \u30ab\u30e0\u306b\u3088\u308b\u3082\u306e\u3067\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u304c\u5c0f\u3055\u3044\u591a\u6570\u306e\u72ec\u7acb\u3057\u305f\u30d9\u30eb\u30cc\u30fc\u30a4\u5909\u6570\u306e\u5408\u8a08\u306e\u6cd5\u5247\u304c\u30dd\u30a2\u30bd\u30f3\u306e\u6cd5\u5247\u306b\u53ce\u675f\u3059\u308b\u901f\u5ea6\u3092\u6307\u5b9a\u3057\u307e\u3059\u3002\u5f7c\u306e\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u306f\u3001\u6d17\u7df4\u3055\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u3042\u307e\u308a\u8a08\u7b97\u3092 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":49662,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/Fta5Hcrdtf4\/0.jpg","fifu_image_alt":"\u30eb\u30fb\u30ab\u30e0\u306e\u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[31273,48404,11,13,14,10,29376,12,8,16,15,9],"class_list":["post-49661","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-cam","tag-shader","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-inegalite","tag-dossier","tag-definition","tag-sciences","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/49661"}],"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=49661"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/49661\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/49662"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=49661"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=49661"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=49661"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}