{"id":14422,"date":"2024-03-31T20:25:07","date_gmt":"2024-03-31T12:25:07","guid":{"rendered":"https:\/\/blog.iyatt.com\/?p=14422"},"modified":"2024-05-05T12:30:28","modified_gmt":"2024-05-05T04:30:28","slug":"%e5%b8%b8%e7%94%a8%e5%88%86%e5%b8%83%ef%bc%88%e7%bc%96%e8%be%91%e4%b8%ad%ef%bc%89","status":"publish","type":"post","link":"https:\/\/blog.iyatt.com\/?p=14422","title":{"rendered":"\u5e38\u7528\u5206\u5e03\uff08\u7f16\u8f91\u4e2d\uff09"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 ez-toc-wrap-center counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">\u76ee\u5f55<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/blog.iyatt.com\/?p=14422\/#1_%E6%AD%A3%E6%80%81%E5%88%86%E5%B8%83%EF%BC%88Normal_Distribution%EF%BC%89\" >1 \u6b63\u6001\u5206\u5e03\uff08Normal Distribution\uff09<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.iyatt.com\/?p=14422\/#2_%E6%8C%87%E6%95%B0%E5%88%86%E5%B8%83%EF%BC%88Exponential_Distribution%EF%BC%89\" >2 \u6307\u6570\u5206\u5e03\uff08Exponential Distribution\uff09<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.iyatt.com\/?p=14422\/#3_%E5%9D%87%E5%8C%80%E5%88%86%E5%B8%83%EF%BC%88Uniform_Distribution%EF%BC%89\" >3 \u5747\u5300\u5206\u5e03\uff08Uniform Distribution\uff09<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/blog.iyatt.com\/?p=14422\/#4_%E4%BA%8C%E9%A1%B9%E5%88%86%E5%B8%83%EF%BC%88Binomial_Distribution%EF%BC%89\" >4 \u4e8c\u9879\u5206\u5e03\uff08Binomial Distribution\uff09<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/blog.iyatt.com\/?p=14422\/#5_%E6%B3%8A%E6%9D%BE%E5%88%86%E5%B8%83%EF%BC%88Poisson_Distribution%EF%BC%89\" >5 \u6cca\u677e\u5206\u5e03\uff08Poisson Distribution\uff09<\/a><\/li><\/ul><\/nav><\/div>\n<h1><span class=\"ez-toc-section\" id=\"1_%E6%AD%A3%E6%80%81%E5%88%86%E5%B8%83%EF%BC%88Normal_Distribution%EF%BC%89\"><\/span>1 \u6b63\u6001\u5206\u5e03\uff08Normal Distribution\uff09<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u7b26\u53f7\uff1a<code class=\"katex-inline\">N(\\mu,\\sigma^2)<\/code><br \/>\n\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\uff08PDF\uff09\uff1a<code class=\"katex-inline\">f(x)=\\frac{1}{\\sqrt{2\\pi}\\sigma}e^{-\\frac{(x-\\mu)^2}{2\\sigma^2}}<\/code>\uff0c<code class=\"katex-inline\">x\\in(-\\infty,+\\infty)<\/code><br \/>\n\u671f\u671b E(x) = <code class=\"katex-inline\">\\mu<\/code><br \/>\n\u65b9\u5dee D(x) = <code class=\"katex-inline\">\\sigma^2<\/code><\/p>\n<h1><span class=\"ez-toc-section\" id=\"2_%E6%8C%87%E6%95%B0%E5%88%86%E5%B8%83%EF%BC%88Exponential_Distribution%EF%BC%89\"><\/span>2 \u6307\u6570\u5206\u5e03\uff08Exponential Distribution\uff09<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u7b26\u53f7\uff1a<code class=\"katex-inline\">Exp(\\lambda)<\/code><br \/>\nPDF\uff1a<code class=\"katex-inline\">f(x)=\\begin{cases}\\lambda e^{-\\lambda x},\\ x>0 \\\\ 0,\\ \u5176\u5b83 \\end{cases}<\/code><br \/>\nE(x) = <code class=\"katex-inline\">\\frac{1}{\\lambda}<\/code><br \/>\nD(x) = <code class=\"katex-inline\">\\frac{1}{\\lambda^2}<\/code><\/p>\n<h1><span class=\"ez-toc-section\" id=\"3_%E5%9D%87%E5%8C%80%E5%88%86%E5%B8%83%EF%BC%88Uniform_Distribution%EF%BC%89\"><\/span>3 \u5747\u5300\u5206\u5e03\uff08Uniform Distribution\uff09<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u7b26\u53f7\uff1aU(a,b)<br \/>\nPDF\uff1a<code class=\"katex-inline\">f(x)=\\begin{cases}\\frac{1}{b-a},\\ a\\lt x\\lt b\\\\ 0,\\ \u5176\u5b83\\end{cases}<\/code><br \/>\nE(X) = <code class=\"katex-inline\">\\frac{a+b}{2}<\/code><br \/>\nD(x) = <code class=\"katex-inline\">\\frac{(b-a)^2}{12}<\/code><\/p>\n<h1><span class=\"ez-toc-section\" id=\"4_%E4%BA%8C%E9%A1%B9%E5%88%86%E5%B8%83%EF%BC%88Binomial_Distribution%EF%BC%89\"><\/span>4 \u4e8c\u9879\u5206\u5e03\uff08Binomial Distribution\uff09<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u7b26\u53f7\uff1aB(n,p)<br \/>\nPDF\uff1a<code class=\"katex-inline\">P{X=k}=C_n^kp^k(1-p)^{n-k},\\ k=0,1,2,\\cdots,n<\/code><br \/>\nE(X) = np<br \/>\nD(X) = np(1-p)<\/p>\n<h1><span class=\"ez-toc-section\" id=\"5_%E6%B3%8A%E6%9D%BE%E5%88%86%E5%B8%83%EF%BC%88Poisson_Distribution%EF%BC%89\"><\/span>5 \u6cca\u677e\u5206\u5e03\uff08Poisson Distribution\uff09<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u7b26\u53f7\uff1a<code class=\"katex-inline\">P(\\lambda)<\/code><br \/>\nPDF\uff1a<code class=\"katex-inline\">P\\{X=k\\}=\\frac{\\lambda^k}{k!}e^{-\\lambda},\\ k=0,1,2,\\cdots<\/code><br \/>\nE(X) = <code class=\"katex-inline\">\\lambda<\/code><br \/>\nD(X) = <code class=\"katex-inline\">\\lambda<\/code><\/p>\n","protected":false},"excerpt":{"rendered":"<p>1 \u6b63\u6001\u5206\u5e03\uff08Normal Distribution\uff09 \u7b26\u53f7\uff1aN(\\mu,\\sigma^2) \u6982\u7387\u5bc6\u5ea6\u51fd\u6570\uff08P [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"zakra_page_container_layout":"customizer","zakra_page_sidebar_layout":"customizer","zakra_remove_content_margin":false,"zakra_sidebar":"customizer","zakra_transparent_header":"customizer","zakra_logo":0,"zakra_main_header_style":"default","zakra_menu_item_color":"","zakra_menu_item_hover_color":"","zakra_menu_item_active_color":"","zakra_menu_active_style":"","zakra_page_header":true,"_lmt_disableupdate":"no","_lmt_disable":"no","footnotes":""},"categories":[1],"tags":[],"class_list":["post-14422","post","type-post","status-publish","format-standard","hentry","category-all"],"modified_by":"IYATT-yx","_links":{"self":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/14422","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=14422"}],"version-history":[{"count":0,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/14422\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14422"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14422"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14422"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}