{"id":6869,"date":"2024-03-24T20:01:01","date_gmt":"2024-03-24T12:01:01","guid":{"rendered":""},"modified":"2024-03-24T20:01:01","modified_gmt":"2024-03-24T12:01:01","slug":"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b","status":"publish","type":"post","link":"https:\/\/mushiming.com\/6869.html","title":{"rendered":"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b"},"content":{"rendered":"<p><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"display: none;\"> \n <path stroke-linecap=\"round\" d=\"M5,0 0,2.5 5,5z\" id=\"raphael-marker-block\" style=\"-webkit-tap-highlight-color: rgba(0, 0, 0, 0);\"><\/path> \n<\/svg> <\/p>\n<h3>\u4eba\u7c7b\u884c\u4e3a\u52a8\u529b\u5b66\u5206\u5e03\u89c4\u5f8b<\/h3>\n<p>\u968f\u7740\u6570\u636e\u5b58\u50a8\u80fd\u529b\u3001\u6570\u636e\u6316\u6398\u7b97\u6cd5\u548c\u5206\u6790\u5904\u7406\u6280\u672f\u7684\u957f\u671f\u53d1\u5c55\u548c\u5e7f\u6cdb\u5e94\u7528\uff0c\u4eba\u4eec\u4ece\u5927\u91cf\u6570\u636e\u4e2d\u603b\u7ed3\u51fa\u4e0d\u540c\u7684\u5206\u5e03\u89c4\u5f8b\u3002<\/p>\n<h3>1\u3001\u6b63\u6001\/\u9ad8\u65af\u5206\u5e03<\/h3>\n<p>\u6b63\u6001\u5206\u5e03\uff08Normal distribution\uff09\u53c8\u540d\u9ad8\u65af\u5206\u5e03\uff08Gaussian distribution\uff09\uff0c\u662f\u4e00\u4e2a\u5728\u6570\u5b66\u3001\u7269\u7406\u53ca\u5de5\u7a0b\u7b49\u9886\u57df\u90fd\u975e\u5e38\u91cd\u8981\u7684\u6982\u7387\u5206\u5e03\uff0c\u5728\u7edf\u8ba1\u5b66\u7684\u8bb8\u591a\u65b9\u9762\u6709\u7740\u91cd\u5927\u7684\u5f71\u54cd\u529b\u3002\u6b63\u6001\u5206\u5e03\uff08Normal distribution)\u662f\u4e00\u79cd\u6982\u7387\u5206\u5e03\u3002\u6b63\u6001\u5206\u5e03\u662f\u5177\u6709\u4e24\u4e2a\u53c2\u6570\u03bc\u548c\u03c3<sup>2<\/sup>\u7684\u8fde\u7eed\u578b\u968f\u673a\u53d8\u91cf\u7684\u5206\u5e03\uff0c\u7b2c\u4e00\u53c2\u6570\u03bc\u662f\u9075\u4ece\u6b63\u6001\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\u7684\u5747\u503c\uff0c\u7b2c\u4e8c\u4e2a\u53c2\u6570\u03c3<sup>2<\/sup>\u662f\u6b64\u968f\u673a\u53d8\u91cf\u7684\u65b9\u5dee\uff0c\u6240\u4ee5\u6b63\u6001\u5206\u5e03\u8bb0\u4f5cN(\u03bc\uff0c\u03c3<sup>2<\/sup> )\u3002\u9075\u4ece\u6b63\u6001\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\u7684\u6982\u7387\u89c4\u5f8b\u4e3a\u53d6 \u03bc\u90bb\u8fd1\u7684\u503c\u7684\u6982\u7387\u5927 \uff0c\u800c\u53d6\u79bb\u03bc\u8d8a\u8fdc\u7684\u503c\u7684\u6982\u7387\u8d8a\u5c0f\uff1b\u03c3\u8d8a\u5c0f\uff0c\u5206\u5e03\u8d8a\u96c6\u4e2d\u5728\u03bc\u9644\u8fd1\uff0c\u03c3\u8d8a\u5927\uff0c\u5206\u5e03\u8d8a\u5206\u6563\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/82ed61c0e32443c79f85bb2f5991268d.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c1\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c1\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/3c029e960d8f4c4c981d936001bab922.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c2\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c2\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u5176\u4e2d\uff1a<\/p>\n<ul>\n<li>\u03bc\u4e3a\u5747\u503c\uff1b<\/li>\n<li>\u03c3\u4e3a\u6807\u51c6\u5dee\u3002<\/li>\n<\/ul>\n<p>\u5f53\u03bc=0\uff0c\u03c3=1\u65f6\u4e3a\u6807\u51c6\u6b63\u6001\u5206\u5e03\uff1a<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/20adb726419d431ab33749ac998d3b7c.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c3\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c3\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u6b63\u6001\u5206\u5e03\u662f\u4e00\u79cd\u6700\u91cd\u8981\u6700\u5e7f\u6cdb\u7684\u5206\u5e03\u5f62\u5f0f\uff0c\u548c\u5176\u5b83\u7c7b\u578b\u7684\u5206\u5e03\uff08\u5982\u6cca\u677e\u5206\u5e03\u3001\u4e8c\u9879\u5206\u5e03\u7b49\uff09\u6709\u7740\u5bc6\u5207\u5173\u7cfb\u3002t\u5206\u5e03\u3001F\u5206\u5e03\u90fd\u662f\u5728\u6b63\u6001\u5206\u5e03\u7684\u57fa\u7840\u4e0a\u63a8\u5bfc\u51fa\u6765\u7684\uff0cu\u68c0\u9a8c\u4e5f\u662f\u4ee5\u6b63\u6001\u5206\u5e03\u4e3a\u57fa\u7840\u7684\u3002\u6b64\u5916\uff0ct\u5206\u5e03\u3001\u4e8c\u9879\u5206\u5e03\u3001\u6cca\u677e(Poisson)\u5206\u5e03\u7684\u6781\u9650\u4e3a\u6b63\u6001\u5206\u5e03\uff0c\u5728\u4e00\u5b9a\u6761\u4ef6\u4e0b\uff0c\u53ef\u4ee5\u6309\u6b63\u6001\u5206\u5e03\u539f\u7406\u6765\u5904\u7406\u3002<\/p>\n<h3>\u5bf9\u6570\u6b63\u6001\u5206\u5e03<\/h3>\n<p>\u5982\u679c\u4e00\u4e2a\u968f\u673a\u53d8\u91cf\u7684\u5bf9\u6570\u670d\u4ece\u6b63\u6001\u5206\u5e03\uff0c\u5c31\u79f0\u8be5\u968f\u673a\u53d8\u91cf\u670d\u4ece\u6b63\u6001\u5206\u5e03\uff0c\u5373\uff1a\u82e5x\u662f\u670d\u4ece\u6b63\u6001\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\uff0c\u5219Y=exp(x)\u670d\u4ece\u5bf9\u6570\u6b63\u6001\u5206\u5e03\uff1a\u82e5Y\u670d\u4ece\u5bf9\u6570\u6b63\u6001\u5206\u5e03\uff0c\u5219X=log(Y)\u670d\u4ece\u6b63\u6001\u5206\u5e03\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/e2976db9014b46adbb57412585c2a074.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c4\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c4\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<h3>2\u3001\u6cca\u677e\u5206\u5e03<\/h3>\n<p>\u5982\u4f55\u901a\u4fd7\u7406\u89e3\u6cca\u677e\u5206\u5e03\uff1f<br \/> \u6cca\u677e\u5206\u5e03 & \u6307\u6570\u5206\u5e03<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/2d5223b86ec04eb292ab1fbf16dd7c91.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c5\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c5\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/78c3f7589d094804ae4eba8dfc29b181.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c6\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c6\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/b1a61d4fb9b246d2807bcae7bd3aad44.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c7\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c7\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u901a\u5e38\u5f53n\u226710,p\u22660.1\u65f6\uff0c\u5c31\u53ef\u4ee5\u7528\u6cca\u677e\u516c\u5f0f\u8fd1\u4f3c\u5f97\u8ba1\u7b97\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/a3dcce9ca9524405a7bf402f73328287.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/9446e906c30b436d8510a901d46e0135.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c9\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c9\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u9274\u4e8e\u4e8c\u9879\u5206\u5e03\u4e0e\u6cca\u677e\u5206\u5e03\u7684\u5173\u7cfb\uff0c\u53ef\u4ee5\u5f88\u81ea\u7136\u7684\u5f97\u5230\u4e00\u4e2a\u63a8\u8bba\uff0c\u5f53\u4e8c\u9879\u5206\u5e03\u7684 p \u5f88\u5c0f\u7684\u65f6\u5019\uff0c\u4e24\u8005\u6bd4\u8f83\u63a5\u8fd1\uff1a<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/abe72eb045d94d28ae233d771db3b4dd.png\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c10\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c10\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/f69e38a572614422a2224400eee99428.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c11\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c11\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u56e0\u6b64\u8981\u4f7f\u4e8b\u4ef6\u53d1\u751f\u7684\u6570\u91cf\u8fd1\u4f3c\u670d\u4ece\u6cca\u677e\u5206\u5e03\uff0c\u5e76\u6ca1\u6709\u5fc5\u8981\u8981\u6c42\u5404\u4e2a\u4e8b\u4ef6\u53d1\u751f\u7684\u6982\u7387\u76f8\u540c\uff0c\u53ea\u8981\u8fd9\u4e9b\u6982\u7387\u90fd\u8f83\u5c0f\u5373\u53ef\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/5e90c925d02f494281baa083853858bb.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c12\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c12\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<h3>3\u3001\u6307\u6570\u5206\u5e03<\/h3>\n<p>\u867d\u7136\u8bb8\u591a\u4eba\u5bf9\u4eba\u7c7b\u884c\u4e3a\u52a8\u529b\u5b66\u7684\u7814\u7a76\u90fd\u503e\u5411\u4e8e\u80d6\u5c3e\u5206\u5e03\uff0c\u4f46\u662f\u4ecd\u6709\u5c11\u6570\u5b66\u8005\u53d1\u73b0\u6392\u961f\u8bba\u4e2d\u7ecf\u5178\u6a21\u578b\u4ecd\u7136\u9002\u7528\u3002<br \/> \u6307\u6570\u5206\u5e03\u7528\u4e8e\u63cf\u8ff0\u6cca\u677e\u8fc7\u7a0b\u7684\u65f6\u95f4\u95f4\u9694\uff08\u5728\u6982\u7387\u8bba\u548c\u7edf\u8ba1\u5b66\u4e2d\uff0c\u6307\u6570\u5206\u5e03(Exponential distribution)\u662f\u4e00\u79cd\u8fde\u7eed\u6982\u7387\u5206\u5e03\u3002\u6307\u6570\u5206\u5e03\u53ef\u4ee5\u7528\u6765\u8868\u793a\u72ec\u7acb\u968f\u673a\u4e8b\u4ef6\u53d1\u751f\u7684\u65f6\u95f4\u95f4\u9694\uff0c\u6bd4\u5982\u65c5\u5ba2\u8fdb\u673a\u573a\u7684\u65f6\u95f4\u95f4\u9694\u3002\uff09\uff0c\u6cca\u677e\u8fc7\u7a0b\u4e2d\u7684\u4e8b\u4ef6\u4ee5\u6052\u5b9a\u901f\u7387\u8fde\u7eed\u4e14\u72ec\u7acb\u53d1\u751f\u3002\u662f\u51e0\u4f55\u5206\u5e03\u7684\u8fde\u7eed\u7c7b\u522b\u3002\u9700\u8981\u6ce8\u610f\u7684\u662f\u6307\u6570\u5206\u5e03\u4e0e\u6307\u6570\u5206\u5e03\u65cf\u7684\u533a\u522b\uff0c\u540e\u8005\u662f\u4e00\u5927\u7c7b\u5206\u5e03\uff0c\u5305\u62ec\u6307\u6570\u5206\u5e03\u3001\u6b63\u6001\u5206\u5e03\u3001\u4e8c\u9879\u5206\u5e03\u3001\u4f3d\u9a6c\u5206\u5e03\u3001\u6cca\u677e\u5206\u5e03\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/1dff813b9ce14b4dbc551b38000f7d1a.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c13\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c13\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/d38f7d4e1c4543638553265921663353.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c14\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c14\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u8bb8\u591a\u7535\u5b50\u4ea7\u54c1\u7684\u5bff\u547d\u5206\u5e03\u4e00\u822c\u670d\u4ece\u6307\u6570\u5206\u5e03\u3002\u6709\u7684\u7cfb\u7edf\u7684\u5bff\u547d\u5206\u5e03\u4e5f\u53ef\u7528\u6307\u6570\u5206\u5e03\u6765\u8fd1\u4f3c\u3002\u5b83\u5728\u53ef\u9760\u6027\u7814\u7a76\u4e2d\u662f\u6700\u5e38\u7528\u7684\u4e00\u79cd\u5206\u5e03\u5f62\u5f0f\u3002\u6307\u6570\u5206\u5e03\u662f\u4f3d\u739b\u5206\u5e03\u548c\u5a01\u5e03\u5c14\u5206\u5e03\u7684\u7279\u6b8a\u60c5\u51b5\uff0c\u4ea7\u54c1\u7684\u5931\u6548\u662f\u5076\u7136\u5931\u6548\u65f6\uff0c\u5176\u5bff\u547d\u670d\u4ece\u6307\u6570\u5206\u5e03\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/e57ecda0ed4d41b189300d99a99c42f0.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c15\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c15\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u5176\u4e2d\u03bb\u79f0\u4e3arate parameter\uff0c\u8868\u793a\u6cca\u677e\u5206\u5e03\u8fc7\u7a0b\u7684\u5230\u8fbe\u7387\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/f48504cef5ef4f5fbb1764a69db851ad.png\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c16\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c16\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u6307\u6570\u5206\u5e03\u7684\u56fe\u5f62\u8868\u9762\u4e0a\u770b\u4e0e\u5e42\u5f8b\u5206\u5e03\u5f88\u76f8\u4f3c\uff0c\u5b9e\u9645\u4e24\u8005\u6709\u6781\u5927\u4e0d\u540c\uff0c\u6307\u6570\u5206\u5e03\u7684\u6536\u655b\u901f\u5ea6\u8fdc\u5feb\u8fc7\u5e42\u5f8b\u5206\u5e03\u3002<br \/> \u6307\u6570\u5206\u5e03\u7684\u4e00\u4e2a\u91cd\u8981\u7279\u5f81\u662f\u65e0\u8bb0\u5fc6\u6027memeryless\uff0c\u5373\u5728\u7b49\u5f85\u65f6\u95f4\u5df2\u7ecf\u8d85\u8fc7s\u79d2\u7684\u524d\u63d0\u4e0b\u7ee7\u7eed\u7b49\u5f85\u8d85\u8fc7t\u79d2\u7684\u6982\u7387\u548c\u4e00\u5f00\u59cb\u7684\u65f6\u5019\u7b49\u5f85\u65f6\u95f4\u8d85\u8fc7t\u79d2\u7684\u6982\u7387\u76f8\u7b49\u3002\u5e76\u4e14\uff0c\u6307\u6570\u5206\u5e03\u548c\u51e0\u4f55\u5206\u5e03\u662f\u552f\u4e00\u5177\u6709\u65e0\u8bb0\u5fc6\u6027\u7684\u6982\u7387\u5206\u5e03\u3002<br \/> \u5982\u4f55\u7406\u89e3\u6307\u6570\u5206\u5e03\uff1f<br \/> \u6a0a\u8d85\u7b49\u4eba\uff08\u300a\u4eba\u7c7b\u884c\u4e3a\u52a8\u529b\u5b66\u7814\u7a76\u7efc\u8ff0\u300b\uff09\u5bf9\u56fd\u5185\u4e24\u6240\u4e0d\u540c\u5927\u5b66\u56fe\u4e66\u9986\u7684\u771f\u5b9e\u501f\u9605\u8bb0\u5f55\u4e3a\u7814\u7a76\u5bf9\u8c61\u8fdb\u884c\u7edf\u8ba1\u5206\u6790\uff0c\u53d1\u73b0\u8bfb\u8005\u7684\u56fe\u4e66\u501f\u9605\u65f6\u95f4\u5177\u6709\u968f\u673a\u6027\u548c\u5747\u5300\u6027\u3002<\/p>\n<h3>4\u3001\u5e42\u5f8b\u5206\u5e03<\/h3>\n<p>\u5728\u8fc7\u53bb\uff0c\u51fa\u4e8e\u5bf9\u95ee\u9898\u7684\u7b80\u5316\uff0c\u4eba\u4eec\u8ba4\u4e3a\u4eba\u7c7b\u884c\u4e3a\u7684\u53d1\u751f\u662f\u5747\u5300\u7684\uff0c\u957f\u65f6\u95f4\u7684\u9759\u9ed8\u548c\u77ed\u65f6\u95f4\u7684\u7206\u53d1\u90fd\u53ef\u88ab\u5ffd\u7565\u3002\u4e5f\u5c31\u662f\u8bf4\u4eba\u7c7b\u884c\u4e3a\u53ef\u7531\u6cca\u677e\u8fc7\u7a0b\u523b\u753b\uff0c\u5373\u884c\u4e3a\u53d1\u751f\u7684\u65f6\u95f4\u95f4\u9694\u670d\u4ece\u8d1f\u6307\u6570\u5206\u5e03\uff0c\u4e8b\u4ef6\u53d1\u751f\u7684\u6570\u91cf\u670d\u4ece\u6cca\u677e\u5206\u5e03\u3002<br \/> \u8fd1\u5e74\u6765\uff0c\u5bf9\u90ae\u4ef6\u901a\u4fe1\u3001\u80a1\u7968\u4ea4\u6613\u3001\u7f51\u9875\u6d4f\u89c8\u3001\u535a\u5ba2\u8bc4\u8bba\u7b49\u5927\u91cf\u884c\u4e3a\u7684\u7814\u7a76\uff0c\u4ece\u6d77\u91cf\u6570\u636e\u4e2d\u6316\u6398\uff0c\u53d1\u73b0\u4eba\u7c7b\u884c\u4e3a\u77ed\u65f6\u95f4\u5185\u9891\u7e41\u53d1\u751f\uff0c\u7136\u540e\u53c8\u4f1a\u5728\u5f88\u957f\u4e00\u6bb5\u65f6\u95f4\u5bc2\u9759\u4e0b\u6765\uff0c\u5373\u4eba\u7c7b\u884c\u4e3a\u7684\u65f6\u95f4\u95f4\u9694\u5206\u5e03\u5e76\u4e0d\u90fd\u662f\u5747\u5300\u7684\uff0c\u800c\u662f\u5177\u6709<strong>\u9635\u53d1<\/strong>\u548c<strong>\u91cd\u5c3e<\/strong>\u7684\u7279\u5f81\u3002\u76f8\u90bb\u4e24\u4e2a\u4e8b\u4ef6\u7684\u65f6\u95f4\u95f4\u9694\u5206\u5e03\u5b58\u5728\u6ee1\u8db3\u53cd\u6bd4\u5e42\u51fd\u6570\u7684\u80d6\u5c3e\u7279\u6027\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/4cf1f57eb3b5431e99f7c437a353c9f8.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c17\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c17\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<h3>\u91cd\u5c3e\u5206\u5e03<\/h3>\n<p>\u91cd\u5c3e\u5206\u5e03(heavy-tailed distribution)\u662f\u6307\u4e00\u7c7b\u4e0d\u5b58\u5728\u6307\u6570\u9636\u77e9\u7684\u5206\u5e03\u51fd\u6570\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/cbdaf5afc8174bd089ddb259c3735ca5.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c18\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c18\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u8f83\u4e3a\u76f4\u89c2\u7684\u5b9a\u4e49\u662f\uff1a\u5982\u679c\u5bc6\u5ea6\u51fd\u6570\u662f\u4ee5\u5e42\u6307\u6570\u8870\u51cf\u81f30\u7684\uff0c\u5219\u79f0\u8be5\u5206\u5e03\u51fd\u6570\u4e3a\u91cd\u5c3e\u7684\u3002(\u4e5f\u6709\u5c06\u957f\u5c3e\u5206\u5e03\u79f0\u4e3a\u91cd\u5c3e\u5206\u5e03)<br \/> \u957f\u5c3e\u5206\u5e03\u662f\u6307\uff1a\u5bf9\u4e8e\u975e\u8d1f\u968f\u673a\u53d8\u91cf\u03c4\uff0c\u5176\u5206\u5e03\u51fd\u6570F(t)=P{\u03c4\u2264t}\uff0c\u8865\u5206\u5e03\u51fd\u6570F<sup>c<\/sup>(t)=1-F(t)\uff0c<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/5032b7d5477644ecbbce59a7d24599dc.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c19\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c19\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u5982\u4e0b\u56fe\uff08a\u4e3a\u6cca\u677e\u5206\u5e03\uff0cb\u4e3a\u91cd\u5c3e\u5206\u5e03\uff09\u6240\u793a\uff0c\u4e0e\u6cca\u677e\u5206\u5e03\u76f8\u6bd4\uff0c\u91cd\u5c3e\u5206\u5e03\u7684\u8870\u51cf\u901f\u5ea6\u8f83\u6162\u4e14\u62d6\u7740\u957f\u957f\u7684\u5c3e\u5df4\uff0c\u4f7f\u5f97\u51fa\u73b0\u8f83\u5927\u89c2\u6d4b\u503c\u7684\u6982\u7387\u8fdc\u8fdc\u9ad8\u4e8e\u57fa\u4e8e\u6cca\u677e\u5206\u5e03\u7684\u9884\u6d4b\uff0c\u53cd\u5e94\u5728\u65f6\u95f4\u95f4\u9694\u7684\u5206\u5e03\u89c4\u5f8b\u4e0a\u5373\u201c\u9635\u53d1\u201d\u7279\u5f81\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/a20e0ec66c874d36aae6885fc8008ab2.png\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c20\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c20\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/00aca2b7bbac4ece85ac2949a73819b0.png\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c21\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c21\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<h3>\u5e42\u5f8b\u5206\u5e03<\/h3>\n<p>\u5728\u4eba\u7c7b\u52a8\u529b\u5b66\u7684\u5b9e\u8bc1\u5206\u6790\u4e2d\u666e\u904d\u5b58\u5728\u7684\u5206\u5e03\u5f62\u5f0f\u662f\u5e42\u5f8b\u5206\u5e03\u53ca\u5176\u5404\u79cd\u6269\u5c55\u5f62\u5f0f\u3002\uff08\u300a\u4eba\u7c7b\u901a\u4fe1\u6a21\u5f0f\u4e2d\u57fa\u4e8e\u65f6\u95f4\u7edf\u8ba1\u7684\u5b9e\u8bc1\u7814\u7a76\u300b\uff09<br \/> \u6570\u5b66\u4e0a\uff0c\u5982\u679c\u4e00\u4e2a\u968f\u673a\u53d8\u91cfX\u7684\u5bc6\u5ea6\u51fd\u6570\u4e3a<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/0d5ab750e31340c1b501c24d18672838.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c22\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c22\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u5219\u79f0X\u670d\u4ece\u5e42\u5f8b\u5206\u5e03\u3002\u5176\u4e2d\u03b1\u662f\u4e00\u4e2a\u5e38\u91cf\uff0c\u79f0\u4e3a\u5e42\u5f8b\u5206\u5e03\u7684\u5e42\u6307\u6570\u6216\u6807\u5ea6\u53c2\u6570\u3002<br \/> <strong>\u5e42\u5f8b\u5206\u5e03\u662f\u4e00\u7c7b\u7279\u6b8a\u7684\u91cd\u5c3e\u5206\u5e03<\/strong>\u3002<br \/> \u73b0\u5b9e\u60c5\u51b5\u4e2d\u5f88\u5c11\u6709\u5206\u5e03\u80fd\u5728\u6574\u4e2a\u53d6\u503c\u8303\u56f4\u5185\u670d\u4ece\u5e42\u5f8b\u5206\u5e03\uff0c\u5e76\u4e14\u5e42\u5f8b\u5206\u5e03\u4e0d\u5b58\u5728\u5cf0\u503c\uff0c\u5728\u5e42\u6307\u6570\u4e3a\u6b63\u503c\u7684\u60c5\u51b5\u4e0b\uff0c\u6982\u7387\u5206\u5e03\u4f1a\u968fx\u21920\u5e76\u5728\u67d0\u6700\u5c0f\u503cx<sub>min<\/sub>\u4ee5\u4e0b\u504f\u79bb\u5e42\u5f8b\uff0c\u800c\u8fd9\u4e2a\u6700\u5c0f\u503c\u4e0d\u4e00\u5b9a\u90a3\u4e48\u660e\u663e\uff0c\u6240\u4ee5\u6211\u4eec\u5e38\u8bf4\u67d0\u5206\u5e03\u7684\u5c3e\u90e8\u670d\u4ece\u5e42\u5f8b\u5206\u5e03\u3002<br \/> \u5e42\u5f8b\u5206\u5e03\u8868\u73b0\u51fa\u5f88\u5f3a\u7684<strong>\u975e\u5747\u5300\u6027<\/strong>\uff0c\u8fd9\u79cd\u975e\u5747\u5300\u6027\u8bf4\u660e\u4e0d\u80fd\u7528\u4e00\u4e2a\u7edf\u4e00\u7684\u201c\u6807\u5ea6(scale)\u201d\u6765\u8868\u5f81\u5e42\u5f8b\u5206\u5e03\u6240\u63cf\u8ff0\u7684\u6570\u636e\u96c6\u3002<br \/> \u4e8b\u5b9e\u4e0a\uff0c<strong>\u5e42\u5f8b\u5206\u5e03\u662f\u552f\u4e00\u5177\u6709\u65e0\u6807\u5ea6\u6027\u8d28(scale-free)\u7684\u5206\u5e03<\/strong>\u3002<br \/> \u89e3\u8bfb\u5e42\u5f8b\u4e0e\u65e0\u6807\u5ea6\u7f51\u7edc | \u7f51\u7edc\u79d1\u5b66\u5165\u95e8<\/p>\n<h3>\u91cd\u5c3e\u5206\u5e03\u4e0e\u5e42\u5f8b\u5206\u5e03<\/h3>\n<p>\u76ee\u524d\u4eba\u7c7b\u52a8\u529b\u5b66\u9886\u57df\u7684\u6587\u732e\u4e2d\u5bf9\u4e8e\u201c\u91cd\u5c3e\u5206\u5e03\u201d\u8fd9\u4e00\u6982\u5ff5\u7684\u4f7f\u7528\u975e\u5e38\u5bbd\u6cdb\uff0c\u4e5f\u4e0d\u4e25\u683c\u533a\u5206\u91cd\u5c3e\u5206\u5e03\u548c\u5e42\u5f8b\u5206\u5e03\u3002<br \/> \u4e00\u822c\u60c5\u51b5\u4e0b\uff0c\u90a3\u4e9b<strong>\u660e\u663e\u504f\u79bb\u6cca\u677e\u5f62\u6001<\/strong>\u3001\u5177\u6709<strong>\u5bbd\u5e7f\u5c3e\u90e8<\/strong>\u7684\u5206\u5e03\u90fd\u88ab\u5f52\u4e3a<strong>\u91cd\u5c3e\u5206\u5e03<\/strong>\uff0c\u65e2\u5305\u62ec\u5982\u5e42\u5f8b\u5206\u5e03\u8fd9\u6837\u7684\u5355\u4e00\u5206\u5e03\u5f62\u5f0f\uff0c\u4e5f\u5305\u62ec\u4e86\u5982\u5e42\u5f8b\u548c\u6307\u6570\u76f8\u7ed3\u5408\u7684\u5404\u79cd\u6df7\u5408\u5206\u5e03\u5f62\u5f0f\uff0c\u5c3d\u7ba1\u540e\u8005\u5e76\u4e0d\u4e25\u683c\u6ee1\u8db3\u91cd\u5c3e\u5b9a\u4e49\u4e2d\u4e0d\u5b58\u5728\u6307\u6570\u9636\u77e9\u7684\u8981\u6c42\u3002<br \/> \u4eba\u7c7b\u52a8\u529b\u5b66\u4e2d\u6d89\u53ca\u5230\u7684<strong>\u95f4\u9694\u65f6\u95f4<\/strong>\u3001<strong>\u7b49\u5f85\u65f6\u95f4<\/strong>\u548c<strong>\u9017\u7559\u65f6\u95f4<\/strong>\u7b49\u4e3b\u8981\u6307\u6807\u662f<strong>\u8fde\u7eed\u578b\u968f\u673a\u53d8\u91cf<\/strong>\uff0c\u56e0\u6b64\u4e0a\u8ff0\u4e3b\u8981\u8bba\u8ff0\u7684\u662f\u8fde\u7eed\u578b\u968f\u673a\u53d8\u91cf\u7684\u91cd\u5c3e\u5206\u5e03\u548c\u5e42\u5f8b\u5206\u5e03\u3002<\/p>\n<h3>\u6307\u6570\u622a\u65ad\u7684\u5e42\u5f8b\u5206\u5e03<\/h3>\n<p>\u5b9e\u9645\u4e0a\u5f88\u591a\u73b0\u5b9e\u7684\u5206\u5e03\u89c4\u5f8b\u90fd\u96be\u4ee5\u7528\u5355\u4e00\u7684\u5206\u5e03\u51fd\u6570\u6765\u62df\u5408\u6216\u8005\u9884\u6d4b\uff0c\u800c\u662f\u8005\u6df7\u5408\u7684\uff0c\u4e00\u79cd\u5e38\u89c1\u7684\u6df7\u5408\u5206\u5e03\u5373\u5e26\u6709\u6307\u6570\u622a\u65ad\u7684\u5e42\u5f8b\u5206\u5e03\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u4e24\u4e2a\u5206\u5e03\u5206\u522b\u53ef\u7531\u5305\u542b\u4e00\u4e2a\u5e42\u5f8b\u548c\u4e24\u4e2a\u5e42\u5f8b\u90e8\u5206\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/df5a90f5c27640ee898305e3a0fd0b8b.png\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c23\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c23\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/478d7ade92044c34a50b7e9e7b23e906.png\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c24\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c24\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u5e26\u6307\u6570\u622a\u65ad\u7684\u5e42\u5f8b\u5206\u5e03\u662f\u5e42\u5f8b\u7684\u4e00\u79cd\u91cd\u8981\u53d8\u5f62\uff0c\u662f\u4e00\u79cd\u5e42\u5f8b\u4e0e\u6307\u6570\u6df7\u5408\u7684\u5206\u5e03\u5f62\u5f0f\u3002\u5176\u539f\u7406\u975e\u5e38\u7b80\u5355\uff0c\u5728\u5e42\u5f8b\u9879\u540e\u9762\u4e58\u4ee5\u4e00\u4e2a\u6307\u6570\u9879\u5373\u53ef\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/eeb485b956544b24a137ea5cd0b8d505.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c25\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c25\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> \u6307\u6570\u622a\u65ad\u4e2d\u7684\u6307\u6570\u8870\u51cf\u56e0\u5b50\u4f1a\u5728\u5206\u5e03\u5c3e\u90e8\u8d85\u8d8a\u5e42\u5f8b\u884c\u4e3a\u5360\u636e\u4e3b\u5bfc\u4f5c\u7528\uff0c\u8fd9\u6837\u7684\u5206\u5e03\u4e0d\u662f\u5e42\u5f8b\u5206\u5e03\u7684\u8fd1\u4f3c\uff0c\u800c\u662f\u5728\u5c3e\u90e8\u4e4b\u524d\u7684\u6709\u9650\u533a\u57df\u5185\u6709\u8fd1\u4f3c\u7684\u6807\u5ea6\u884c\u4e3a\u3002<\/p>\n<h3>\u622a\u65ad\u5e42\u5f8b<\/h3>\n<p>\u8fd9\u79cd\u5206\u5e03\u662f\u6307\u6570\u622a\u65ad\u7684\u5e42\u5f8b\u5206\u5e03\u7684\u53e6\u4e00\u79cd\u53eb\u6cd5\uff0c\u662f\u4e00\u79cd\u5e42\u5f8b\u4e0e\u6307\u6570\u6df7\u5408\u7684\u5206\u5e03\u5f62\u5f0f\uff0c\u8be5\u5206\u90e8\u4e5f\u88ab\u89c6\u4e3a\u53cc\u5e42\u5f8b(double power law)\uff0c\u4e14\u8fd9\u6837\u7684\u5e42\u5f8b\u53ef\u7531\u5e7f\u5ef6\u6307\u6570\u5206\u5e03(stretched exponential form)\u62df\u5408\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/f702353371a94d63822f07616e947586.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c26\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c26\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<h3>5\u3001 \u5e7f\u5ef6\u6307\u6570\u5206\u5e03<\/h3>\n<p>\u5e7f\u5ef6\u6307\u6570\u5206\u5e03\u5bf9\u5f8b\u5e42\u5206\u5e03\u7684\u4e0d\u5747\u8861\u6027\u6709\u4e86\u4e00\u5b9a\u7684\u6539\u5584\u3002\uff08\u300aQQ\u7fa4\u6d88\u606f\u4e2d\u7684\u4eba\u7c7b\u884c\u4e3a\u52a8\u529b\u5b66\u7814\u7a76\u300b\uff09\u901a\u5e38\u6211\u4eec\u5728\u53cc\u5bf9\u6570\u5750\u6807\u4e0b\u7814\u7a76\u5e42\u5f8b\uff0c\u4f46\u53cc\u5bf9\u6570\u5750\u6807\u6709\u7f3a\u9677\uff0c\u5e76\u4e14\u5b9e\u8bc1\u4e2d\u7684\u5e42\u5f8b\u4e5f\u5f88\u96be\u5728\u6574\u4e2a\u533a\u95f4\u90fd\u8868\u73b0\u4e3a\u4e00\u6761\u76f4\u7ebf\uff0c\u4e8e\u662f\u6709\u4eba\u63d0\u51fa\u5e7f\u5ef6\u6307\u6570\u5206\u5e03\uff0c\u4f5c\u4e3a\u6574\u4e2a\u533a\u95f4\u4e0a\u7684\u4e00\u79cd\u66ff\u4ee3\u6027\u7684\u5206\u5e03\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/e6367577c6bc406fa1f064232fb38c5d.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c27\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c27\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<h3>6\u3001\u53cc\u5cf0\u5206\u5e03<\/h3>\n<p>\u901a\u8fc7\u5bf9\u77ed\u4fe1\u901a\u8baf\u7684\u7814\u7a76Ye Wu\u7b49\u4eba(\u300aEvidence for a bimodal distribution in human communication\u300b)\u53d1\u73b0\u65f6\u95f4\u95f4\u9694\u5206\u5e03\u670d\u4ece\u53cc\u5cf0\u5206\u5e03\uff0c\u5e76\u4e14\u603b\u7ed3\u4e86\u793e\u4f1a\u7cfb\u7edf\u4e2d\u7684\u91d1\u878d\u3001\u8d38\u6613\u7b49\u884c\u4e3a\u548c\u4e16\u754c\u4e0a\u6d77\u5578\u3001\u964d\u96e8\u7b49\u81ea\u7136\u707e\u5bb3\u4e5f\u670d\u4ece\u8be5\u5206\u90e8\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/931461c959fc4b5b8e1009749f4a36ad.jpg\" =\"\" 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alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c31\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c31\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<h3>7\u3001\u591a\u5c3a\u5ea6\u5206\u5e03<\/h3>\n<p>\u4ee5\u7ef4\u57fa\u767e\u79d1\u4e3a\u5bf9\u8c61\uff0c\u8d75\u98de\u7b49\u4eba\uff08\u300a\u5728\u7ebf\u534f\u540c\u5199\u4f5c\u7684\u4eba\u7c7b\u52a8\u529b\u5b66\u5206\u6790\u300b\uff09\u5bf9\u5728\u7ebf\u534f\u540c\u534f\u4f5c\u8fdb\u884c\u7edf\u8ba1\u7279\u6027\u5206\u6790\u548c\u5185\u5bb9\u66f4\u65b0\u7edf\u8ba1\u5206\u6790\uff0c\u6240\u6709\u6587\u7ae0\u7248\u672c\u63d0\u4ea4\u65f6\u95f4\u95f4\u9694\u5728\u53cc\u5bf9\u6570\u5750\u6807\u4e0b\u9891\u7387\u5206\u5e03\u60c5\u51b5\uff0c\u5206\u5e03\u66f2\u7ebf\u8868\u73b0\u51fa\u4e09\u4e2a\u5c3a\u5ea6\uff1a1min\u548c30min\u523024h\u4e24\u4e2a\u65f6\u95f4\u6bb5\u4e0a\u65f6\u95f4\u95f4\u9694\u5206\u522b\u670d\u4ece\u6307\u6570\u4e3a1.62\u548c1.16\u7684\u5e42\u5f8b\u5206\u5e03\uff0c\u800c\u5927\u4e8e24h\u7684\u65f6\u95f4\u95f4\u9694\u670d\u4ece\u5982\u4e0b\u5f62\u5f0f\u7684\u7d2f\u79ef\u5206\u5e03\u3002<br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/7eea848b9a9743c48f1ecbf448d27132.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><br \/> <img decoding=\"async\" src=\"https:\/\/img.mushiming.top\/app\/mushiming_com\/65322682f4df4c3f85b19eb1d87d7ba5.jpg\" =\"\" =\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" alt=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b (https:\/\/mushiming.com\/)  \u7b2c33\u5f20\" title=\"\u4eba\u7c7b(\u884c\u4e3a)\u52a8\u529b\u5b66\uff083\uff09\u2014\u2014\u5206\u5e03\u89c4\u5f8b  \u7b2c33\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" 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