{"id":340121,"date":"2021-02-06T15:13:27","date_gmt":"2021-02-06T07:13:27","guid":{"rendered":"http:\/\/4563.org\/?p=340121"},"modified":"2021-02-06T15:13:27","modified_gmt":"2021-02-06T07:13:27","slug":"%e6%ad%a3%e6%80%81%e5%88%86%e5%b8%83%e6%a0%b7%e6%9c%ac%e6%9c%80%e5%a4%a7%e5%80%bc%e6%9c%8d%e4%bb%8e%e4%bb%80%e4%b9%88%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"http:\/\/4563.org\/?p=340121","title":{"rendered":"\u6b63\u6001\u5206\u5e03\u6837\u672c\u6700\u5927\u503c\u670d\u4ece\u4ec0\u4e48\u5206\u5e03"},"content":{"rendered":"
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\u6b63\u6001\u5206\u5e03\u6837\u672c\u6700\u5927\u503c\u670d\u4ece\u4ec0\u4e48\u5206\u5e03 <\/h1>\n

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\u8cc7\u6df1\u5927\u4f6c : mutelog <\/span> <\/i> 3<\/span> <\/div>\n
<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n
\u4ece\u4e00\u4e2a\u670d\u4ece N(\u03bc, \u03c3)\u7684\u603b\u4f53\u4e2d\u62bd\u53d6\u5bb9\u91cf\u4e3a m \u7684\u6837\u672c\uff0c\u6c42 m \u7684\u6700\u5927\u503c\u670d\u4ece\u4ec0\u4e48\u5206\u5e03\uff1f <\/div>\n
\u5927\u4f6c\u6709\u8a71\u8aaa<\/b> (25<\/span>) <\/div>\n
<\/div>\n<\/p><\/div>\n<\/p><\/div>\n
    \n
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    \u4e3b<\/span> \u8cc7\u6df1\u5927\u4f6c : mutelog <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u66f4\u6b63\uff1a\u6c42\u6837\u672c\u7684\u6700\u5927\u503c\u670d\u4ece\u4ec0\u4e48\u5206\u5e03 <\/div>\n<\/p><\/div>\n<\/li>\n
  • \n
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    \u8cc7\u6df1\u5927\u4f6c : Jooooooooo <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u7b80\u5355\u641c\u4e86\u4e00\u4e0b\u4f3c\u4e4e\u5e76\u4e0d\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u9898\u76ee<\/p>\n

    \u76f8\u5173\u7684\u5e16\u5b50: math.stackexchange.com\/questions\/473229\/expected-value-for-maximum-of-n-normal-random-variable <\/p><\/div>\n<\/p><\/div>\n<\/li>\n

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    \u8cc7\u6df1\u5927\u4f6c : noqwerty <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u6837\u672c\u662f iid \u4e14 n \u8db3\u591f\u5927\u7684\u8bdd\u6709\u8fd1\u4f3c\u89e3 https:\/\/math.stackexchange.com\/questions\/89030\/expectation-of-the-maximum-of-gaussian-random-variables <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : necomancer <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u5982\u679c\u662f iid \u4f3c\u4e4e\u5f88\u7b80\u5355\u5427\uff0c\u5bf9\u4efb\u610f\u5206\u5e03\u53d6 n \u4e2a\u503c(X_i)\uff0c\u5219 P(max(X_i)<=x)=P(x)^n\uff0cP \u662f cdf\uff0cpdf \u7684\u8bdd\u6c42\u4e2a\u5bfc q(x)=nP(x)^{n-1}p(x), \u5176\u4e2d p \u662f P \u5bf9\u5e94\u7684 pdf <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : green15 <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u770b\u4e0d\u660e\u767d\u4e3b\u8bf4\u4ec0\u4e48\u2026\u2026\u5370\u8c61\u4e2d\u7edf\u8ba1\u6709\u8fd9\u4e48\u4e00\u8bf4\uff0c\u53ea\u8981\u6837\u672c\u6570\u91cf\u589e\u52a0\u5230\u8db3\u591f\u5927\uff0c\u4e0d\u7ba1\u539f\u6765\u662f\u4ec0\u4e48\u5206\u5e03\uff0c\u90fd\u4f1a\u8d8b\u5411\u4e8e\u6b63\u6001 <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : xupefei <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u62cd\u4e86\u62cd\u8111\u888b\uff0c\u5e94\u8be5\u662f\u6807\u51c6\u5206\u5e03 <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : noqwerty <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    @green15 #5 \u4f60\u8bf4\u7684\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406 (CLT) \u662f\u8bf4\u6837\u672c\u91cf\u8db3\u591f\u5927\u7684\u65f6\u5019\u53d8\u91cf\u5747\u503c\u7684\u5206\u5e03\u4f1a\u63a5\u8fd1\u6b63\u6001\u5206\u5e03\uff0c\u5e76\u4e0d\u80fd\u63a8\u5e7f\u5230\u6700\u5927\u503c \/\u6700\u5c0f\u503c <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : tankren <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u9ad8\u6570\uff1f <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : Mohanson <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u548c m \u6709\u5173\uff0c\u5982\u679c m \u65e0\u9650\u5927\u5c31\u662f\u5e38\u6570\uff0cm \u4e3a 1 \u5c31\u662f\u9ad8\u65af \u5176\u4ed6\u7684\u6709\u8bf7\u5927\u4f6c <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : northisland <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    @Jooooooooo \u7b80\u5355\u8bf4\uff0c\u662f\u4e2d\u5927\u5956\u5206\u5e03\u7684\u671f\u671b\u3002\u786e\u5b9e\u4e0d\u7b80\u5355\u3002stackexhange \u4e0a\u725b\u4eba\u591a\u3002 <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : Nillouise <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u5199\u4e2a\u7a0b\u5e8f\u6a21\u62df\u770b\u770b\u4e0d\u5c31\u77e5\u9053\u4e86\u5417\uff1f <\/div>\n<\/p><\/div>\n<\/li>\n
  • \n
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    \u8cc7\u6df1\u5927\u4f6c : Nillouise <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    @Mohanson\uff0cm \u4e3a 1 \u7684\u65f6\u5019\u4e0d\u662f\u6b63\u592a\u5206\u5e03\u5417\uff1f <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : collery <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u6b63\u6001\u5206\u5e03\u662f\u5565\u6765\u7740 <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : xelatex <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u7559\u610f\u5230\u6837\u672c\u6700\u5927\u503c\u5c0f\u4e8e\u67d0\u4e2a\u6570\u548c\u6240\u6709\u6837\u672c\u5c0f\u4e8e\u90a3\u4e2a\u6570\u662f\u7b49\u4ef7\u7684\uff0c\u5047\u8bbe\u72ec\u7acb\uff0c\u53ef\u4ee5\u5199\u51fa\u6837\u672c\u6700\u5927\u503c\u7684\u7d2f\u79ef\u5206\u5e03\u51fd\u6570\u3002\u8fd9\u4e1c\u897f\u6050\u6015\u6ca1\u6709\u521d\u7b49\u8868\u793a\u3002\u753b\u4e86\u4e24\u4e2a\u56fe\uff0c\u53ef\u4ee5\u611f\u89c9\u4e00\u4e0b\u3002
    i.loli.net\/2021\/02\/10\/KoupVg8G92lRj4Y.png
    i.loli.net\/2021\/02\/10\/YMbQF9PpyBxvmO2.png <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : hsfzxjy <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u540c\u610f @necomancer #4 \u8fd9\u5176\u5b9e\u5c31\u662f\u7b2c m \u987a\u5e8f\u7edf\u8ba1\u91cf https:\/\/en.m.wikipedia.org\/wiki\/Order_statistic <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : zst <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u8fd9\u662f\u6b21\u5e8f\u7edf\u8ba1\u91cf\u7684\u5206\u5e03\u95ee\u9898\u5427 <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : superhxl <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u8bf4\u6b63\u6001\u5206\u5e03\u7684\u540c\u5b66\u6ca1\u770b\u6e05\u695a\u5427\uff0c\u6837\u672c\u3001\u603b\u4f53\u90fd\u662f\u6b63\u6001\u5206\u5e03\uff0c\u4f46\u4e3b\u8bf4\u7684\u662f\u6700\u5927\u503c\u3002 <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : Raven316 <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    @necomancer nb <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : noqwerty <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    @necomancer #4 \u95ee\u9898\u5e94\u8be5\u5c31\u662f\u6c42\u5bfc\u8fd9\u6b65\uff0c\u4e0d\u50cf Uniform distribution \u8fd9\u79cd\u5f88\u5bb9\u6613\u6309\u516c\u5f0f\u63a8\u51fa\u89e3\u6790\u89e3 <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : Harry1993 <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u9019\u88cf\u6709\u95dc\u65bc\u6307\u6578\u5206\u4f48\u7684\u4e00\u7bc7\u6587\u7ae0\uff0c\u985e\u4f3c\u7684\u65b9\u6cd5\u61c9\u8a72\u5957\u7528\u5230\u9ad8\u65af\u5206\u4f48\u3002<\/p>\n

    https:\/\/arxiv.org\/abs\/1307.3945 <\/p><\/div>\n<\/p><\/div>\n<\/li>\n

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    \u8cc7\u6df1\u5927\u4f6c : zmx976508106 <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u611f\u89c9\u662f beta \u5206\u5e03 <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : zmx976508106 <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    @xelatex \u8fd9\u4e2a\u5e94\u8be5\u662f beta \u5206\u5e03 <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : nuistzhou <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    @Nillouise \u77e5\u8bc6\u70b9\uff1a\u6b63\u6001\u5206\u5e03\u53c8\u53eb\u9ad8\u65af\u5206\u5e03 <\/div>\n<\/p><\/div>\n<\/li>\n
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    \u8cc7\u6df1\u5927\u4f6c : hemind <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    @necomancer \u4f60\u6c42\u7684\u7ed3\u679c\u662f n \u4e2a\u503c\u90fd\u6bd4 x \u5c0f\u7684\u6982\u7387\uff0c\u548c n \u4e2a\u503c\u4e2d\u7684\u6700\u5927\u503c\u4e3a x \u4e0d\u662f\u4e00\u4e2a\u6982\u5ff5\u3002\u5e94\u8be5\u76f4\u63a5\u5199 pdf\uff0cq(max(X_i) = x) = p(x) * P(x)^(n-1)\uff0c\u610f\u4e3a\u4e00\u4e2a\u503c\u76f4\u63a5\u53d6 x\uff0c\u5176\u4ed6\u503c\u90fd\u6bd4 x \u5c0f\u3002 <\/div>\n<\/p><\/div>\n<\/li>\n
  • \n
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    \u8cc7\u6df1\u5927\u4f6c : hemind <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u6211\u4e0a\u9762\u5e94\u8be5\u8981\u4e58\u4ee5 n\uff0cq(max(X_i) = x) =n * p(x) * P(x)^(n-1)\uff0c\u6bcf\u4e2a\u503c\u90fd\u53ef\u80fd\u53d6\u5230\u6700\u5927\u503c x \u3002\u540e\u6765\u4ed4\u7ec6\u60f3\u4e86\u4e0b @necomancer \u7684\u7ed3\u679c\u548c\u6211\u7684\u662f\u4e00\u6837\u7684\uff0c\u6211\u4e4b\u524d\u7406\u89e3\u9519\u4e86 <\/div>\n<\/p><\/div>\n<\/li>\n
  • \n","protected":false},"excerpt":{"rendered":"

    \u6b63\u6001\u5206\u5e03\u6837\u672c\u6700\u5927\u503c\u670d\u4ece\u4ec0\u4e48\u5206\u5e03 \u8cc7…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[],"tags":[],"_links":{"self":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/340121"}],"collection":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=340121"}],"version-history":[{"count":0,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/340121\/revisions"}],"wp:attachment":[{"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=340121"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=340121"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=340121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}