{"id":3375,"date":"2022-02-27T15:30:29","date_gmt":"2022-02-27T07:30:29","guid":{"rendered":"https:\/\/egonlin.com\/?p=3375"},"modified":"2022-02-27T15:30:29","modified_gmt":"2022-02-27T07:30:29","slug":"%e7%ac%ac%e4%ba%94%e7%af%87%ef%bc%9a%e6%a6%82%e7%8e%87%e8%ae%ba-%e6%9d%a1%e4%bb%b6%e6%a6%82%e7%8e%87","status":"publish","type":"post","link":"https:\/\/egonlin.com\/?p=3375","title":{"rendered":"\u7b2c\u4e94\u7bc7\uff1a\u6982\u7387\u8bba-\u6761\u4ef6\u6982\u7387"},"content":{"rendered":"

\u6761\u4ef6\u6982\u7387<\/h1>\n

\u6761\u4ef6\u6982\u7387\u7b80\u4ecb<\/h1>\n

  \u6761\u4ef6\u6982\u7387\u662f\u6307\u4e8b\u4ef6A\u5728\u53e6\u5916\u4e00\u4e2a\u4e8b\u4ef6B\u5df2\u7ecf\u53d1\u751f\u6761\u4ef6\u4e0b\u7684\u53d1\u751f\u6982\u7387\u3002\u6761\u4ef6\u6982\u7387\u8868\u793a\u4e3a\uff1a$p(A|B)$\uff0c\u8bfb\u4f5c\u201c\u5728B\u7684\u6761\u4ef6\u4e0bA\u7684\u6982\u7387\u201d\u3002\u82e5\u53ea\u6709\u4e24\u4e2a\u4e8b\u4ef6A\uff0cB\uff0c\u90a3\u4e48
\n$$
\np(A|B) = {\\frac{p(AB)}{p(B)}}
\n$$
\n\u5176\u4e2d$p(AB)$\u8868\u793a$A$\u548c$B$\u540c\u65f6\u53d1\u751f\u7684\u6982\u7387\uff0c$p(B)$\u8868\u793a$B$\u53d1\u751f\u7684\u6982\u7387\u3002<\/p>\n

\u6761\u4ef6\u6982\u7387\u63a8\u5e7f<\/h1>\n

  \u4e0a\u8ff0\u4e58\u6cd5\u516c\u5f0f\u53ef\u63a8\u5e7f\u5230\u4efb\u610f\u6709\u7a77\u591a\u4e2a\u4e8b\u4ef6\u65f6\u7684\u60c5\u51b5\u3002
\n  \u8bbe$A_1,A_2,\\ldots,{A_n}$\u4e3a\u4efb\u610f$n$\u4e2a\u4e8b\u4ef6$(n\\geq2)$\u4e14$p(A_1A_2\\ldots{A_n})>0$\uff0c\u901a\u8fc7\u6761\u4ef6\u6982\u7387\u53ef\u5f97
\n$$
\n\\begin{align}
\np(A_1A_2\\ldots{A_n}) & = p(A_1A2\\ldots{A<\/em>{n-1}})p(A_n|A_1A2\\ldots{A<\/em>{n-1}})\\
\n& = p(A_1A2\\ldots{A<\/em>{n-2}})p(A_{n-1}|A_1A2\\ldots{A<\/em>{n-2}})p(A_n|A_1A2\\ldots{A<\/em>{n-1}}) \\
\n& \\cdots \\
\n& = p(A_1)p(A_2|A_1)\\cdots{p(A_n|A_1A2\\ldots{A<\/em>{n-1}})}
\n\\end{align}
\n$$<\/p>\n","protected":false},"excerpt":{"rendered":"

\u6761\u4ef6\u6982\u7387 \u6761\u4ef6\u6982\u7387\u7b80\u4ecb   \u6761\u4ef6\u6982\u7387\u662f\u6307\u4e8b\u4ef6A\u5728\u53e6\u5916\u4e00\u4e2a\u4e8b\u4ef6B\u5df2\u7ecf\u53d1\u751f\u6761\u4ef6\u4e0b\u7684\u53d1\u751f\u6982\u7387\u3002\u6761 […]<\/p>\n","protected":false},"author":3,"featured_media":3360,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[276,303,305],"tags":[],"_links":{"self":[{"href":"https:\/\/egonlin.com\/index.php?rest_route=\/wp\/v2\/posts\/3375"}],"collection":[{"href":"https:\/\/egonlin.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/egonlin.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/egonlin.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/egonlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3375"}],"version-history":[{"count":0,"href":"https:\/\/egonlin.com\/index.php?rest_route=\/wp\/v2\/posts\/3375\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/egonlin.com\/index.php?rest_route=\/wp\/v2\/media\/3360"}],"wp:attachment":[{"href":"https:\/\/egonlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3375"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/egonlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3375"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/egonlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3375"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}