{"id":4607,"date":"2026-06-15T10:06:58","date_gmt":"2026-06-15T02:06:58","guid":{"rendered":"https:\/\/deepbule.store\/?p=4607"},"modified":"2026-06-15T10:06:58","modified_gmt":"2026-06-15T02:06:58","slug":"%e3%80%8a%e8%b4%9d%e5%8f%b6%e6%96%af%e7%bb%9f%e8%ae%a1%e5%8f%8a%e5%85%b6%e5%ba%94%e7%94%a8%e3%80%8b%e9%98%85%e8%af%bb%e7%ac%94%e8%ae%b0","status":"publish","type":"post","link":"https:\/\/deepbule.store\/?p=4607","title":{"rendered":"\u300a\u8d1d\u53f6\u65af\u7edf\u8ba1\u53ca\u5176\u5e94\u7528\u300b\u9605\u8bfb\u7b14\u8bb0"},"content":{"rendered":"<h1>\u300a\u8d1d\u53f6\u65af\u7edf\u8ba1\u53ca\u5176\u5e94\u7528\u300b\u9605\u8bfb\u7b14\u8bb0<\/h1>\n<blockquote>\n<p>\u81ea\u52a8\u751f\u6210 | 2026-06-15 10:06 | \ud83c\udf10 web\u515c\u5e95<\/p>\n<\/blockquote>\n<h1>\u300a\u8d1d\u53f6\u65af\u7edf\u8ba1\u53ca\u5176\u5e94\u7528\u300b\u9605\u8bfb\u7b14\u8bb0<\/h1>\n<h2>\u4e00\u3001\u4f5c\u8005\u4e0e\u80cc\u666f<\/h2>\n<p>\u672c\u4e66\u7531\u540c\u6d4e\u5927\u5b66\u51fa\u7248\u793e\u4e8e2015\u5e74\u9996\u6b21\u51fa\u7248\uff0c2023\u5e748\u6708\u63a8\u51fa\u7b2c\u4e8c\u7248\uff0c\u5c5e\u56fd\u5185\u7edf\u8ba1\u5b66\u6559\u6750\u4f53\u7cfb\u4e2d\u7684\u7cfb\u7edf\u6027\u4e0e\u524d\u6cbf\u6027\u517c\u5177\u4e4b\u4f5c\u3002\u8d1d\u53f6\u65af\u7edf\u8ba1\u5b66\u4ee5\u82f1\u56fd\u6570\u5b66\u5bb6\u6258\u9a6c\u65af\u00b7\u8d1d\u53f6\u65af\uff08Thomas Bayes\uff09\u547d\u540d\uff0c\u5176\u7406\u8bba\u6e0a\u6e90\u53ef\u8ffd\u6eaf\u81f318\u4e16\u7eaa\u4e2d\u53f6\u300220\u4e16\u7eaa\u4e2d\u53f6\uff0c\u968f\u7740\u8ba1\u7b97\u6280\u672f\u7684\u8fdb\u6b65\u7279\u522b\u662f\u9a6c\u5c14\u53ef\u592b\u94fe\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\uff08MCMC\uff09\u7684\u53d1\u5c55\uff0c\u8d1d\u53f6\u65af\u65b9\u6cd5\u4ece\u7406\u8bba\u8d70\u5411\u5b9e\u8df5\uff0c\u9010\u6e10\u6210\u4e3a\u4e0e\u9891\u7387\u5b66\u6d3e\u5206\u5ead\u6297\u793c\u7684\u91cd\u8981\u7edf\u8ba1\u6d41\u6d3e\u3002\u672c\u4e66\u4e4b\u4f5c\uff0c\u6b63\u662f\u5728\u5927\u6570\u636e\u65f6\u4ee3\u80cc\u666f\u4e0b\uff0c\u4e3a\u6ee1\u8db3\u56fd\u5185\u5b66\u8005\u7cfb\u7edf\u5b66\u4e60\u8d1d\u53f6\u65af\u65b9\u6cd5\u7684\u8feb\u5207\u9700\u6c42\u800c\u4f5c\uff0c\u65e8\u5728\u6784\u5efa\u4e00\u5ea7\u8fde\u63a5\u7ecf\u5178\u7edf\u8ba1\u4e0e\u73b0\u4ee3\u5e94\u7528\u7684\u6865\u6881\u3002<\/p>\n<h2>\u4e8c\u3001\u6838\u5fc3\u5185\u5bb9<\/h2>\n<p>\u8d1d\u53f6\u65af\u7edf\u8ba1\u7684\u6839\u672c\u8303\u5f0f\u5728\u4e8e\u5c06\u672a\u77e5\u53c2\u6570\u89c6\u4e3a\u5177\u6709\u81ea\u8eab\u6982\u7387\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\uff0c\u800c\u975e\u9891\u7387\u5b66\u6d3e\u6240\u4e3b\u5f20\u7684\u56fa\u5b9a\u4f46\u672a\u77e5\u7684\u5e38\u6570\u3002\u8fd9\u4e00\u6839\u672c\u7acb\u573a\u5bfc\u81f4\u7edf\u8ba1\u63a8\u65ad\u903b\u8f91\u7684\u8303\u5f0f\u8f6c\u6362\uff1a\u9996\u5148\uff0c\u7814\u7a76\u8005\u6839\u636e\u5df2\u6709\u77e5\u8bc6\u4e3a\u4e3b\u672a\u77e5\u53c2\u6570\u8bbe\u5b9a\u5148\u9a8c\u5206\u5e03\u03c0(\u03b8)\uff0c\u8fd9\u662f\u8d1d\u53f6\u65af\u65b9\u6cd5\u7684\u6838\u5fc3\u4e0e\u7cbe\u9ad3\uff1b\u5176\u6b21\uff0c\u901a\u8fc7\u8d1d\u53f6\u65af\u516c\u5f0f\uff0c\u5c06\u6837\u672c\u4fe1\u606f\u3001\u603b\u4f53\u5206\u5e03\u4e0e\u5148\u9a8c\u5206\u5e03\u4e09\u8005\u6709\u673a\u878d\u5408\uff0c\u5bfc\u51fa\u5173\u4e8e\u53c2\u6570\u7684\u540e\u9a8c\u5206\u5e03\u03c0(\u03b8|x)\uff1b\u6700\u540e\uff0c\u4e00\u5207\u7edf\u8ba1\u63a8\u65ad\u2014\u2014\u65e0\u8bba\u662f\u70b9\u4f30\u8ba1\u3001\u533a\u95f4\u4f30\u8ba1\u8fd8\u662f\u5047\u8bbe\u68c0\u9a8c\u2014\u2014\u5747\u5e94\u57fa\u4e8e\u540e\u9a8c\u5206\u5e03\u8fdb\u884c\u3002<\/p>\n<p>\u4e66\u4e2d\u7cfb\u7edf\u9610\u8ff0\u4e86\u8d1d\u53f6\u65af\u5b9a\u7406\u7684\u968f\u673a\u5f62\u5f0f\uff0c\u5efa\u7acb\u4e86\u201c\u5148\u9a8c\u2014\u4f3c\u7136\u2014\u540e\u9a8c\u201d\u7684\u6838\u5fc3\u63a8\u7406\u94fe\u6761\u3002\u4e0e\u7ecf\u5178\u7edf\u8ba1\u4e2dp(x;\u03b8)\u8868\u793a\u53c2\u6570\u7a7a\u95f4\u4e0d\u540c\uff0c\u8d1d\u53f6\u65af\u6846\u67b6\u4e0bp(x|\u03b8)\u8868\u793a\u6761\u4ef6\u5206\u5e03\uff0c\u4f53\u73b0\u4e86\u53c2\u6570\u7ed9\u5b9a\u65f6\u6570\u636e\u7684\u6761\u4ef6\u6982\u7387\u7ed3\u6784\u3002\u4e66\u4e2d\u8be6\u5c3d\u4ecb\u7ecd\u4e86\u5148\u9a8c\u5206\u5e03\u7684\u9009\u62e9\u539f\u5219\uff08\u5171\u8f6d\u5148\u9a8c\u3001Jeffreys\u539f\u5219\u3001\u65e0\u4fe1\u606f\u5148\u9a8c\u7b49\uff09\u3001\u540e\u9a8c\u5206\u5e03\u7684\u8ba1\u7b97\u6280\u672f\uff0c\u4ee5\u53ca\u8d1d\u53f6\u65af\u4f30\u8ba1\u3001\u8d1d\u53f6\u65af\u68c0\u9a8c\u7684\u5177\u4f53\u64cd\u4f5c\uff0c\u5e76\u8f85\u4ee5R\u8bed\u8a00\u5b9e\u73b0\u6307\u5bfc\u3002<\/p>\n<h2>\u4e09\u3001\u7cbe\u534e\u6458\u5f55<\/h2>\n<blockquote>\n<p>\u201c\u4efb\u4f55\u4e00\u4e2a\u672a\u77e5\u91cf\u03b8\u90fd\u53ef\u4ee5\u770b\u4f5c\u968f\u673a\u53d8\u91cf\uff0c\u53ef\u7528\u4e00\u4e2a\u968f\u673a\u53d8\u91cf\u53bb\u63cf\u8ff0\uff0c\u8fd9\u4e2a\u5206\u5e03\u79f0\u4e3a\u5148\u9a8c\u5206\u5e03\u3002\u201d<\/p>\n<p>\u201c\u5728\u83b7\u5f97\u6837\u672c\u4e4b\u540e\uff0c\u603b\u4f53\u5206\u5e03\u3001\u6837\u672c\u5206\u5e03\u548c\u5148\u9a8c\u5206\u5e03\u901a\u8fc7\u8d1d\u53f6\u65af\u516c\u5f0f\u7ed3\u5408\u8d77\u6765\uff0c\u5f97\u5230\u4e00\u4e2a\u5173\u4e8e\u672a\u77e5\u91cf\u03b8\u7684\u65b0\u5206\u5e03\u2014\u2014\u540e\u9a8c\u5206\u5e03\u3002\u201d<\/p>\n<p>\u201c\u4efb\u4f55\u5173\u4e8e\u03b8\u7684\u7edf\u8ba1\u63a8\u65ad\u90fd\u5e94\u8be5\u57fa\u4e8e\u03b8\u7684\u540e\u9a8c\u5206\u5e03\u8fdb\u884c\u3002\u201d<\/p>\n<p>\u201c\u8d1d\u53f6\u65af\u7edf\u8ba1\u4e2d\u8bb0\u4e3ap(x|\u03b8)\uff0c\u8868\u793a\u968f\u673a\u53d8\u91cf\u03b8\u7ed9\u5b9a\u67d0\u4e2a\u503c\u65f6\uff0cx\u7684\u6761\u4ef6\u5206\u5e03\u3002\u201d<\/p>\n<p>\u201c\u5148\u9a8c\u5206\u5e03\u03c0(\u03b8)\u662f\u8d1d\u53f6\u65af\u5b66\u6d3e\u7814\u7a76\u7684\u91cd\u70b9\u3002\u201d<\/p>\n<p>\u201c\u8d1d\u53f6\u65af\u89c2\u70b9\u7684\u6837\u672c\u4ea7\u751f\uff1a\u9996\u5148\u6839\u636e\u5148\u9a8c\u5206\u5e03\u03c0(\u03b8)\u4ea7\u751f\u6837\u672c\u03b8&#8217;\uff0c\u8fd9\u4e00\u6b65\u662f\u8001\u5929\u7237\u7684\u5b89\u6392\u3002\u201d<\/p>\n<p>\u201c\u6a21\u578b\u53c2\u6570\u4e0d\u662f\u56fa\u5b9a\u7684\u672a\u77e5\u91cf\uff0c\u800c\u662f\u968f\u673a\u53d8\u91cf\uff0c\u5177\u6709\u81ea\u5df1\u7684\u6982\u7387\u5206\u5e03\u3002\u201d<\/p>\n<p>\u201c\u8d1d\u53f6\u65af\u5b66\u6d3e\u901a\u8fc7\u5f15\u5165\u5148\u9a8c\u5206\u5e03\u6765\u91cf\u5316\u53c2\u6570\u7684\u4e0d\u786e\u5b9a\u6027\uff0c\u5e76\u5229\u7528\u89c2\u6d4b\u5230\u7684\u6570\u636e\u6765\u66f4\u65b0\u53c2\u6570\u7684\u6982\u7387\u5206\u5e03\u3002\u201d<\/p>\n<p>\u201c\u540e\u9a8c\u5206\u5e03\u662f\u5148\u9a8c\u5206\u5e03\u4e0e\u6837\u672c\u4fe1\u606f\u7684\u52a0\u6743\u878d\u5408\uff0c\u4f53\u73b0\u4e86\u77e5\u8bc6\u66f4\u65b0\u7684\u8fa9\u8bc1\u8fc7\u7a0b\u3002\u201d<\/p>\n<p>\u201c\u8d1d\u53f6\u65af\u65b9\u6cd5\u7684\u6838\u5fc3\u4f18\u52bf\u5728\u4e8e\u80fd\u591f\u81ea\u7136\u5730\u878d\u5408\u5148\u9a8c\u77e5\u8bc6\u4e0e\u6570\u636e\u4fe1\u606f\uff0c\u5b9e\u73b0\u8ba4\u77e5\u7684\u6e10\u8fdb\u5f0f\u6df1\u5316\u3002\u201d<\/p>\n<\/blockquote>\n<h2>\u56db\u3001\u4e3b\u9898\u5206\u6790<\/h2>\n<p><strong>\u4e3b\u9898\u4e00\uff1a\u4ece\u786e\u5b9a\u6027\u5230\u4e0d\u786e\u5b9a\u6027\u7684\u8ba4\u77e5\u8303\u5f0f\u9769\u547d<\/strong><\/p>\n<p>\u8d1d\u53f6\u65af\u7edf\u8ba1\u6240\u5f15\u53d1\u7684\u4e0d\u4ec5\u662f\u6280\u672f\u5c42\u9762\u7684\u9769\u65b0\uff0c\u66f4\u662f\u8ba4\u8bc6\u8bba\u5c42\u9762\u7684\u6df1\u5c42\u53d8\u9769\u3002\u7ecf\u5178\u9891\u7387\u5b66\u6d3e\u5c06\u53c2\u6570\u89c6\u4e3a\u5ba2\u89c2\u5b58\u5728\u4f46\u672a\u77e5\u7684\u56fa\u5b9a\u5e38\u6570\uff0c\u7edf\u8ba1\u63a8\u65ad\u7684\u4efb\u52a1\u662f\u901a\u8fc7\u6837\u672c\u4fe1\u606f\u53bb\u201c\u53d1\u73b0\u201d\u90a3\u4e2a\u56fa\u5b9a\u7684\u771f\u503c\u3002\u8fd9\u79cd\u601d\u7ef4\u6697\u542b\u4e00\u79cd\u6734\u7d20\u5b9e\u5728\u8bba\uff1a\u4e16\u754c\u5b58\u5728\u7740\u786e\u5b9a\u7684\u771f\u76f8\uff0c\u7edf\u8ba1\u5b66\u7684\u4f7f\u547d\u662f\u903c\u8fd1\u8fd9\u4e00\u771f\u76f8\u3002<\/p>\n<p>\u8d1d\u53f6\u65af\u5b66\u6d3e\u5219\u91c7\u53d6\u4e86\u622a\u7136\u4e0d\u540c\u7684\u8ba4\u8bc6\u7acb\u573a\u3002\u5b83\u5c06\u53c2\u6570\u672c\u8eab\u89c6\u4e3a\u5177\u6709\u4e0d\u786e\u5b9a\u6027\u7684\u968f\u673a\u53d8\u91cf\uff0c\u8fd9\u79cd\u4e0d\u786e\u5b9a\u6027\u4e0d\u662f\u8ba4\u8bc6\u80fd\u529b\u7684\u7f3a\u9677\uff0c\u800c\u662f\u53c2\u6570\u7684\u5185\u5728\u5c5e\u6027\u3002\u8fd9\u610f\u5473\u7740\uff1a\u4e0d\u5b58\u5728\u4e00\u4e2a\u7b49\u5f85\u6211\u4eec\u53bb\u53d1\u73b0\u7684\u201c\u552f\u4e00\u771f\u503c\u201d\uff0c\u53ea\u6709\u5173\u4e8e\u53c2\u6570\u7684\u4e0d\u540c\u7a0b\u5ea6\u7684\u4fe1\u5ff5\u72b6\u6001\u3002\u5148\u9a8c\u5206\u5e03\u6b63\u662f\u8fd9\u79cd\u5148\u5728\u4fe1\u5ff5\u7684\u6570\u5b66\u8868\u8fbe\uff0c\u800c\u8d1d\u53f6\u65af\u63a8\u65ad\u5219\u662f\u4fe1\u5ff5\u968f\u8bc1\u636e\u66f4\u65b0\u800c\u6f14\u5316\u7684\u52a8\u6001\u8fc7\u7a0b\u3002<\/p>\n<p>\u8fd9\u4e00\u8303\u5f0f\u8f6c\u6362\u5177\u6709\u6df1\u523b\u7684\u54f2\u5b66\u610f\u6db5\u3002\u5728\u8d1d\u53f6\u65af\u6846\u67b6\u4e0b\uff0c\u7edf\u8ba1\u5b66\u4e0d\u518d\u662f\u5bfb\u627e\u201c\u5ba2\u89c2\u771f\u7406\u201d\u7684\u5de5\u5177\uff0c\u800c\u6210\u4e3a\u5904\u7406\u201c\u4e0d\u786e\u5b9a\u6027\u201d\u7684\u65b9\u6cd5\u8bba\u4f53\u7cfb\u3002\u8fd9\u79cd\u8f6c\u53d8\u4e0e\u73b0\u4ee3\u79d1\u5b66\u7684\u8ba4\u8bc6\u8bba\u8f6c\u5411\u9ad8\u5ea6\u5951\u5408\u2014\u2014\u5728\u91cf\u5b50\u529b\u5b66\u3001\u4e0d\u786e\u5b9a\u6027\u539f\u7406\u4e3b\u5bfc\u7684\u5f53\u4ee3\u79d1\u5b66\u56fe\u666f\u4e2d\uff0c\u786e\u5b9a\u6027\u5047\u8bbe\u672c\u8eab\u53cd\u800c\u6210\u4e3a\u9700\u8981\u53cd\u601d\u7684\u524d\u63d0\u3002<\/p>\n<p><strong>\u4e3b\u9898\u4e8c\uff1a\u77e5\u8bc6\u66f4\u65b0\u7684\u6570\u5b66\u5316\u2014\u2014\u8d1d\u53f6\u65af\u63a8\u7406\u7684\u8ba4\u77e5\u4ef7\u503c<\/strong><\/p>\n<p>\u8d1d\u53f6\u65af\u516c\u5f0f\u03c0(\u03b8|x) \u221d \u03c0(\u03b8)\u00b7L(x|\u03b8)\u63ed\u793a\u4e86\u77e5\u8bc6\u66f4\u65b0\u7684\u57fa\u672c\u673a\u5236\uff1a\u540e\u9a8c\u5206\u5e03\u4e0e\u5148\u9a8c\u5206\u5e03\u548c\u4f3c\u7136\u51fd\u6570\u7684\u4e58\u79ef\u6210\u6b63\u6bd4\u3002\u8fd9\u4e00\u7b80\u6d01\u7684\u6570\u5b66\u5f62\u5f0f\u8574\u542b\u7740\u4e30\u5bcc\u7684\u8ba4\u8bc6\u8bba\u5185\u5bb9\u3002<\/p>\n<p>\u5148\u9a8c\u5206\u5e03\u4ee3\u8868\u7740\u7814\u7a76\u8005\u5728\u83b7\u5f97\u6570\u636e\u4e4b\u524d\u7684\u8ba4\u77e5\u72b6\u6001\u2014\u2014\u8fd9\u53ef\u80fd\u662f\u5386\u53f2\u7684\u7ecf\u9a8c\u603b\u7ed3\u3001\u4e13\u5bb6\u7684\u4e3b\u89c2\u5224\u65ad\uff0c\u6216\u662f\u57fa\u4e8e\u5bf9\u79f0\u6027\u6216\u6700\u5927\u71b5\u539f\u5219\u7684\u5ba2\u89c2\u9009\u62e9\u3002\u5148\u9a8c\u5e76\u975e\u201c\u4e3b\u89c2\u968f\u610f\u201d\u7684\u4ee3\u540d\u8bcd\uff0c\u6070\u6070\u76f8\u53cd\uff0c\u9ad8\u8d28\u91cf\u7684\u5148\u9a8c\u77e5\u8bc6\u662f\u8d1d\u53f6\u65af\u65b9\u6cd5\u7684\u6838\u5fc3\u8d44\u6e90\u3002\u4f3c\u7136\u51fd\u6570\u5219\u4ee3\u8868\u7740\u6570\u636e\u6240\u643a\u5e26\u7684\u5173\u4e8e\u53c2\u6570\u7684\u4fe1\u606f\uff0c\u5b83\u5c06\u6837\u672c\u6620\u5c04\u4e3a\u5bf9\u4e0d\u540c\u53c2\u6570\u503c\u7684\u652f\u6301\u7a0b\u5ea6\u3002\u8d1d\u53f6\u65af\u516c\u5f0f\u7684\u5999\u5904\u5728\u4e8e\uff1a\u5b83\u7cbe\u786e\u5730\u89c4\u5b9a\u4e86\u65b0\u65e7\u77e5\u8bc6\u5982\u4f55\u878d\u5408\u2014\u2014\u4e0d\u662f\u7b80\u5355\u7684\u53e0\u52a0\uff0c\u800c\u662f\u4e58\u79ef\u5f62\u5f0f\u7684\u4e58\u6cd5\u4ea4\u4e92\u3002<\/p>\n<p>\u8fd9\u79cd\u63a8\u7406\u6a21\u5f0f\u4e0e\u4eba\u7c7b\u8ba4\u77e5\u7684\u5b9e\u9645\u8fc7\u7a0b\u9ad8\u5ea6\u540c\u6784\u3002\u4eba\u7c7b\u6b63\u662f\u901a\u8fc7\u4e0d\u65ad\u6574\u5408\u5148\u9a8c\u7ecf\u9a8c\u4e0e\u65b0\u83b7\u8bc1\u636e\u6765\u66f4\u65b0\u8ba4\u77e5\u7684\uff0c\u8d1d\u53f6\u65af\u5b9a\u7406\u4e3a\u8fd9\u4e00\u8fc7\u7a0b\u63d0\u4f9b\u4e86\u4e25\u683c\u7684\u6570\u5b66\u6846\u67b6\u3002\u8fd9\u4e5f\u89e3\u91ca\u4e86\u4e3a\u4f55\u8d1d\u53f6\u65af\u65b9\u6cd5\u5728\u4eba\u5de5\u667a\u80fd\u3001\u673a\u5668\u5b66\u4e60\u9886\u57df\u83b7\u5f97\u5e7f\u6cdb\u5e94\u7528\u2014\u2014\u56e0\u4e3a\u673a\u5668\u8ba4\u77e5\u672c\u8d28\u4e0a\u5c31\u662f\u77e5\u8bc6\u66f4\u65b0\u95ee\u9898\u3002<\/p>\n<h2>\u4e94\u3001\u4e2a\u4eba\u611f\u609f<\/h2>\n<p>\u5728\u4fe1\u606f\u7206\u70b8\u7684\u5f53\u4ee3\uff0c\u6211\u4eec\u6bcf\u65e5\u90fd\u9762\u4e34\u6d77\u91cf\u4fe1\u606f\u7684\u7b5b\u9009\u4e0e\u5224\u65ad\u3002\u8d1d\u53f6\u65af\u601d\u7ef4\u63d0\u4f9b\u4e86\u4e00\u79cd\u5b9d\u8d35\u7684\u8ba4\u77e5\u6846\u67b6\uff1a\u9762\u5bf9\u65b0\u4fe1\u606f\u65f6\uff0c\u4e0d\u662f\u7b80\u5355\u5730\u5168\u76d8\u63a5\u53d7\u6216\u65ad\u7136\u62d2\u7edd\uff0c\u800c\u662f\u6839\u636e\u65b0\u4fe1\u606f\u7684\u53ef\u9760\u7a0b\u5ea6\uff0c\u7ed3\u5408\u6211\u4eec\u539f\u6709\u7684\u8ba4\u77e5\u57fa\u7840\uff0c\u5bf9\u5224\u65ad\u8fdb\u884c\u6e10\u8fdb\u5f0f\u8c03\u6574\u3002<\/p>\n<p>\u4e00\u4e2a\u6df1\u523b\u7684\u4f53\u4f1a\u662f\uff1a\u8d1d\u53f6\u65af\u65b9\u6cd5\u6559\u4f1a\u6211\u4eec\u8c26\u900a\u9762\u5bf9\u4e0d\u786e\u5b9a\u6027\u3002\u627f\u8ba4\u8ba4\u77e5\u7684\u4e0d\u786e\u5b9a\u6027\uff0c\u672c\u8eab\u5c31\u662f\u7406\u6027\u7684\u4e00\u90e8\u5206\u3002\u5148\u9a8c\u5206\u5e03\u7684\u8bbe\u5b9a\u63d0\u9192\u6211\u4eec\uff1a\u4efb\u4f55\u5224\u65ad\u90fd\u6839\u690d\u4e8e\u7279\u5b9a\u7684\u5386\u53f2\u5904\u5883\u548c\u8ba4\u77e5\u8d44\u6e90\uff0c\u4e0d\u5b58\u5728\u201c\u7eaf\u7cb9\u7684\u5ba2\u89c2\u201d\u3002\u540e\u9a8c\u5206\u5e03\u7684\u8fed\u4ee3\u66f4\u65b0\u5219\u542f\u793a\u6211\u4eec\uff1a\u8ba4\u77e5\u662f\u5f00\u653e\u7684\u8fc7\u7a0b\uff0c\u65b0\u8bc1\u636e\u53ef\u80fd\u4fee\u6b63\u4e43\u81f3\u98a0\u8986\u65e2\u6709\u5224\u65ad\u3002\u8fd9\u79cd\u5f00\u653e\u6027\u548c\u53ef\u4fee\u6b63\u6027\uff0c\u6070\u6070\u662f\u79d1\u5b66\u7cbe\u795e\u7684\u672c\u8d28\u7279\u5f81\u3002<\/p>\n<p>\u5728\u5b9e\u8df5\u5c42\u9762\uff0c\u8d1d\u53f6\u65af\u65b9\u6cd5\u4e5f\u4fc3\u4f7f\u6211\u53cd\u601d\u51b3\u7b56\u8fc7\u7a0b\u4e2d\u7684\u201c\u5148\u9a8c\u504f\u89c1\u201d\u2014\u2014\u6211\u4eec\u5f80\u5f80\u5728\u6570\u636e\u6536\u96c6\u4e4b\u524d\u5c31\u5df2\u7ecf\u5f62\u6210\u4e86\u5f3a\u70c8\u7684\u9884\u8bbe\u5224\u65ad\uff0c\u800c\u8d1d\u53f6\u65af\u6846\u67b6\u5219\u63d0\u9192\u6211\u4eec\uff1a\u8fd9\u4e9b\u9884\u8bbe\u5e94\u5f53\u88ab\u663e\u6027\u5316\u3001\u91cf\u5316\uff0c\u5e76\u5728\u65b0\u8bc1\u636e\u9762\u524d\u4fdd\u6301\u53ef\u8c03\u6574\u6027\u3002<\/p>\n<h2>\u516d\u3001\u65b9\u6cd5\u8bba\u8054\u7cfb<\/h2>\n<p>\u8d1d\u53f6\u65af\u65b9\u6cd5\u4e0e\u5112\u5b66\u4f20\u7edf\u4e2d\u7684\u201c\u683c\u7269\u81f4\u77e5\u201d\u5b58\u5728\u6df1\u5c42\u547c\u5e94\u3002\u300a\u5927\u5b66\u300b\u6240\u8a00\u201c\u7269\u683c\u800c\u540e\u77e5\u81f3\u201d\uff0c\u5f3a\u8c03\u901a\u8fc7\u7a77\u7a76\u4e8b\u7269\u4e4b\u7406\u6765\u589e\u8fdb\u77e5\u8bc6\uff0c\u8fd9\u4e0e\u8d1d\u53f6\u65af\u63a8\u7406\u7684\u201c\u8bc1\u636e\u9a71\u52a8\u8ba4\u77e5\u66f4\u65b0\u201d\u673a\u5236\u9ad8\u5ea6\u4e00\u81f4\u3002\u8d1d\u53f6\u65af\u6846\u67b6\u4e2d\u7684\u5148\u9a8c\uff0c\u53ef\u7c7b\u6bd4\u4e3a\u5112\u5b66\u4e2d\u201c\u5df2\u77e5\u4e4b\u7406\u201d\u7684\u6570\u5b66\u8868\u8fbe\uff1b\u540e\u9a8c\u5206\u5e03\u5219\u662f\u201c\u65e5\u65e5\u65b0\uff0c\u53c8\u65e5\u65b0\u201d\u7684\u8ba4\u77e5\u8fdb\u6b65\u5728\u6982\u7387\u8bba\u4e2d\u7684\u5f62\u5f0f\u5316\u3002<\/p>\n<p>\u5728\u79d1\u5b66\u65b9\u6cd5\u8bba\u5c42\u9762\uff0c\u8d1d\u53f6\u65af\u63a8\u65ad\u4f53\u73b0\u4e86\u5f52\u7eb3\u903b\u8f91\u7684\u6570\u5b66\u5316\u8fdb\u7a0b\u3002\u4f20\u7edf\u5f52\u7eb3\u6cd5\u9762\u4e34\u201c\u4f11\u8c1f\u95ee\u9898\u201d\u7684\u6311\u6218\uff1a\u5f52\u7eb3\u63a8\u7406\u7684\u5408\u7406\u6027\u4f55\u5728\uff1f\u8d1d\u53f6\u65af\u65b9\u6cd5\u901a\u8fc7\u5c06\u5f52\u7eb3\u63a8\u7406\u7eb3\u5165\u6982\u7387\u8bba\u6846\u67b6\uff0c\u4e3a\u5f52\u7eb3\u7684\u5408\u7406\u6027\u63d0\u4f9b\u4e86\u91cf\u5316\u6807\u51c6\u2014\u2014\u5728\u7ed9\u5b9a\u5148\u9a8c\u548c\u8bc1\u636e\u7684\u6761\u4ef6\u4e0b\uff0c\u540e\u9a8c\u6982\u7387\u7684\u8ba1\u7b97\u662f\u552f\u4e00\u786e\u5b9a\u7684\uff0c\u8fd9\u4f7f\u5f97\u5f52\u7eb3\u63a8\u7406\u83b7\u5f97\u4e86\u4e0e\u6f14\u7ece\u63a8\u7406\u540c\u7b49\u7684\u903b\u8f91\u4e25\u5bc6\u6027\u3002<\/p>\n<p>\u4ece\u8ba4\u8bc6\u8bba\u89d2\u5ea6\u770b\uff0c\u8d1d\u53f6\u65af\u65b9\u6cd5\u4e0e\u738b\u9633\u660e\u201c\u77e5\u884c\u5408\u4e00\u201d\u7684\u5b9e\u8df5\u8ba4\u8bc6\u8bba\u4ea6\u6709\u5171\u9e23\u3002\u8d1d\u53f6\u65af\u63a8\u7406\u662f\u52a8\u6001\u7684\u8fc7\u7a0b\u2014\u2014\u5148\u9a8c\u6307\u5bfc\u6570\u636e\u6536\u96c6\uff0c\u6570\u636e\u66f4\u65b0\u5148\u9a8c\u5206\u5e03\uff0c\u65b0\u540e\u9a8c\u53c8\u6210\u4e3a\u65b0\u7684\u8d77\u70b9\u3002\u8fd9\u79cd\u201c\u77e5\u2014\u884c\u2014\u77e5\u201d\u7684\u87ba\u65cb\u4e0a\u5347\u7ed3\u6784\uff0c\u4e0e\u5112\u5b66\u5f3a\u8c03\u7684\u201c\u5728\u4e8b\u4e0a\u78e8\u70bc\u201d\u9ad8\u5ea6\u5951\u5408\uff1a\u77e5\u8bc6\u4e0d\u662f\u9759\u6001\u7684\u5b58\u50a8\uff0c\u800c\u662f\u5728\u4e0e\u4e16\u754c\u7684\u6301\u7eed\u4ea4\u4e92\u4e2d\u4e0d\u65ad\u6df1\u5316\u3002<\/p>\n<h2>\u4e03\u3001\u540e\u7eed\u8ba1\u5212<\/h2>\n<ol>\n<li>\n<p><strong>\u7406\u8bba\u6df1\u5316<\/strong>\uff1a\u7cfb\u7edf\u5b66\u4e60\u8d1d\u53f6\u65af\u8ba1\u7b97\u65b9\u6cd5\uff0c\u91cd\u70b9\u638c\u63e1\u9a6c\u5c14\u53ef\u592b\u94fe\u8499\u7279\u5361\u6d1b\uff08MCMC\uff09\u65b9\u6cd5\u7684\u539f\u7406\u4e0e\u5b9e\u73b0\uff0c\u7406\u89e3Metropolis-Hastings\u7b97\u6cd5\u548cGibbs\u62bd\u6837\u6280\u672f\uff0c\u4e3a\u5904\u7406\u590d\u6742\u6a21\u578b\u7684\u540e\u9a8c\u5206\u5e03\u8ba1\u7b97\u5960\u5b9a\u57fa\u7840\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u5b9e\u8df5\u5e94\u7528<\/strong>\uff1a\u9009\u53d6\u533b\u7597\u8bca\u65ad\u6216\u91d1\u878d\u98ce\u9669\u7ba1\u7406\u4e2d\u7684\u771f\u5b9e\u6848\u4f8b\uff0c\u8fd0\u7528\u8d1d\u53f6\u65af\u65b9\u6cd5\u8fdb\u884c\u5efa\u6a21\u5b9e\u8df5\uff0c\u4eb2\u8eab\u4f53\u9a8c\u4ece\u5148\u9a8c\u8bbe\u5b9a\u5230\u540e\u9a8c\u63a8\u65ad\u7684\u5b8c\u6574\u6d41\u7a0b\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u6bd4\u8f83\u7814\u7a76<\/strong>\uff1a\u6df1\u5165\u7814\u8bfb\u9891\u7387\u5b66\u6d3e\u7ecf\u5178\u6559\u6750\uff0c\u4ece\u54f2\u5b66\u6839\u57fa\u3001\u65b9\u6cd5\u5047\u8bbe\u3001\u5e94\u7528\u5c40\u9650\u7b49\u7ef4\u5ea6\u7cfb\u7edf\u6bd4\u8f83\u4e24\u5927\u6d41\u6d3e\u7684\u5f02\u540c\uff0c\u5f62\u6210\u5bf9\u7edf\u8ba1\u63a8\u65ad\u65b9\u6cd5\u8bba\u7684\u5b8c\u6574\u7406\u89e3\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u8de8\u5b66\u79d1\u62d3\u5c55<\/strong>\uff1a\u63a2\u7d22\u8d1d\u53f6\u65af\u65b9\u6cd5\u5728\u8ba4\u77e5\u79d1\u5b66\u3001\u4eba\u5de5\u667a\u80fd\u9886\u57df\u7684\u5e94\u7528\uff0c\u9605\u8bfb\u300a\u4eba\u5de5\u667a\u80fd\uff1a\u4e00\u79cd\u73b0\u4ee3\u65b9\u6cd5\u300b\u76f8\u5173\u7ae0\u8282\uff0c\u7406\u89e3\u8d1d\u53f6\u65af\u7f51\u7edc\u4e0e\u6982\u7387\u56fe\u6a21\u578b\u7684\u6838\u5fc3\u601d\u60f3\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u5199\u4f5c\u8f93\u51fa<\/strong>\uff1a\u64b0\u5199\u4e00\u7bc73000\u5b57\u5de6\u53f3\u7684\u4e13\u9898\u8bba\u6587\uff0c\u9898\u76ee\u62df\u4e3a\u300a\u8d1d\u53f6\u65af\u7edf\u8ba1\u7684\u8ba4\u8bc6\u8bba\u610f\u6db5\u53ca\u5176\u5bf9\u79d1\u5b66\u65b9\u6cd5\u8bba\u7684\u542f\u793a\u300b\uff0c\u5c06\u9605\u8bfb\u4f53\u4f1a\u7cfb\u7edf\u5316\u3001\u5b66\u672f\u5316\u3002<\/p>\n<\/li>\n<\/ol>","protected":false},"excerpt":{"rendered":"<p>\u300a\u8d1d\u53f6\u65af\u7edf\u8ba1\u53ca\u5176\u5e94\u7528\u300b\u9605\u8bfb\u7b14\u8bb0 \u81ea\u52a8\u751f\u6210 | 2026-06-15 10:06 | \ud83c\udf10 web\u515c\u5e95 \u300a\u8d1d\u53f6\u65af\u7edf [&hellip;]<\/p>","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-4607","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/deepbule.store\/index.php?rest_route=\/wp\/v2\/posts\/4607","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/deepbule.store\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/deepbule.store\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/deepbule.store\/index.php?rest_route=\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/deepbule.store\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4607"}],"version-history":[{"count":1,"href":"https:\/\/deepbule.store\/index.php?rest_route=\/wp\/v2\/posts\/4607\/revisions"}],"predecessor-version":[{"id":4608,"href":"https:\/\/deepbule.store\/index.php?rest_route=\/wp\/v2\/posts\/4607\/revisions\/4608"}],"wp:attachment":[{"href":"https:\/\/deepbule.store\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4607"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/deepbule.store\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4607"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/deepbule.store\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4607"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}