{"id":1564,"date":"2023-07-25T21:11:46","date_gmt":"2023-07-25T21:11:46","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e9%a6%99%e5%86%9c%e5%a4%9a%e6%a0%b7%e6%80%a7%e6%8c%87%e6%95%b0\/"},"modified":"2023-07-25T21:11:46","modified_gmt":"2023-07-25T21:11:46","slug":"%e9%a6%99%e5%86%9c%e5%a4%9a%e6%a0%b7%e6%80%a7%e6%8c%87%e6%95%b0","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e9%a6%99%e5%86%9c%e5%a4%9a%e6%a0%b7%e6%80%a7%e6%8c%87%e6%95%b0\/","title":{"rendered":"\u9999\u519c\u591a\u6837\u6027\u6307\u6570\uff1a\u5b9a\u4e49\u4e0e\u793a\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u9999\u519c\u591a\u6837\u6027\u6307\u6570<\/strong>\uff08\u6709\u65f6\u79f0\u4e3a\u9999\u519c-\u7ef4\u7eb3\u6307\u6570\uff09\u662f\u8861\u91cf\u7fa4\u843d\u5185\u7269\u79cd\u591a\u6837\u6027\u7684\u4e00\u79cd\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bb0\u4e0b<em>H<\/em> \uff0c\u8be5\u6307\u6570\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>H<\/em> = <sub>-\u03a3<\/sub> <em>pi<\/em> * <em>ln(pi<\/em> <sub>)<\/sub><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3\uff1a<\/strong>\u5e0c\u814a\u7b26\u53f7\uff0c\u610f\u601d\u662f\u201c\u548c\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><em>ln<\/em> :<\/strong>\u81ea\u7136\u5bf9\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><em>p<\/em> <sub>i<\/sub> :<\/strong>\u7531\u7269\u79cd<em>i<\/em>\u7ec4\u6210\u7684\u6574\u4e2a\u7fa4\u843d\u7684\u6bd4\u4f8b<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><em>H<\/em>\u503c\u8d8a\u9ad8\uff0c\u7279\u5b9a\u7fa4\u843d\u4e2d\u7269\u79cd\u7684\u591a\u6837\u6027\u8d8a\u9ad8\u3002 <em>H<\/em>\u503c\u8d8a\u4f4e\uff0c\u591a\u6837\u6027\u8d8a\u4f4e\u3002 <em>H<\/em>\u503c = 0 \u8868\u793a\u7fa4\u843d\u53ea\u6709\u4e00\u4e2a\u7269\u79cd\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9999\u519c\u5747\u5300\u5ea6\u6307\u6570\u662f\u8861\u91cf\u7fa4\u843d\u4e2d\u7269\u79cd\u5747\u5300\u5ea6\u7684\u4e00\u79cd\u65b9\u6cd5\u3002 \u201c\u5747\u5300\u6027\u201d\u4e00\u8bcd\u4ec5\u6307\u7fa4\u843d\u5185\u4e0d\u540c\u7269\u79cd\u4e30\u5ea6\u7684\u76f8\u4f3c\u6027\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bb0\u4e0b<em>E <sub>H<\/sub><\/em> \uff0c\u8be5\u6307\u6570\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em><sub>EH<\/sub><\/em> = <em>H<\/em> \/ <em>ln<\/em> ( <em>S<\/em> )<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><em>H<\/em> \uff1a<\/strong>\u9999\u519c\u591a\u6837\u6027\u6307\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><em>S<\/em> \uff1a<\/strong>\u72ec\u7279\u7269\u79cd\u603b\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8be5\u503c\u7684\u8303\u56f4\u4e3a 0 \u5230 1\uff0c\u5176\u4e2d 1 \u8868\u793a\u5b8c\u5168\u5747\u5300\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u5206\u6b65\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u8ba1\u7b97\u7ed9\u5b9a\u793e\u533a\u7684\u9999\u519c\u591a\u6837\u6027\u6307\u6570\u548c\u9999\u519c\u80a1\u6743\u6307\u6570\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u7b2c 1 \u6b65\uff1a\u6536\u96c6\u6570\u636e<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u4e00\u4f4d\u751f\u7269\u5b66\u5bb6\u60f3\u8981\u6d4b\u91cf\u5f53\u5730\u68ee\u6797\u7684\u7269\u79cd\u591a\u6837\u6027\u3002\u5b83\u6536\u96c6\u4ee5\u4e0b\u6570\u636e\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15477 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/shannon1.png\" alt=\"\" width=\"158\" height=\"186\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u7b2c\u4e8c\u6b65\uff1a\u8ba1\u7b97\u6bd4\u4f8b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u7136\u540e\u751f\u7269\u5b66\u5bb6\u53ef\u4ee5\u8ba1\u7b97\u51fa\u6bcf\u4e2a\u7269\u79cd\u7ec4\u6210\u7684\u7fa4\u843d\u7684\u6bd4\u4f8b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u603b\u5171\u6709 105 \u4e2a\u4e2a\u4f53\uff0c\u5176\u4e2d 40 \u4e2a\u88ab\u5f52\u7c7b\u4e3a\u7269\u79cd A\u3002\u56e0\u6b64\uff0c\u7269\u79cd A \u4ee3\u8868\u6574\u4e2a\u7fa4\u843d\u7684 40\/105 = <strong>0.38<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5979\u53ef\u4ee5\u5bf9\u6bcf\u4e2a\u7269\u79cd\u8fdb\u884c\u7c7b\u4f3c\u7684\u8ba1\u7b97\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15478 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/shannon2.png\" alt=\"\" width=\"251\" height=\"194\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a\u8ba1\u7b97\u6bd4\u4f8b\u7684\u81ea\u7136\u5bf9\u6570<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u7136\u540e\u5979\u53ef\u4ee5\u8ba1\u7b97\u6bcf\u4e2a\u6bd4\u4f8b\u7684\u81ea\u7136\u5bf9\u6570\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15479 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/shannon3.png\" alt=\"\" width=\"299\" height=\"179\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4\uff1a\u5c06\u6bd4\u4f8b\u4e58\u4ee5\u6bd4\u4f8b\u7684\u81ea\u7136\u5bf9\u6570<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u7136\u540e\uff0c\u5979\u53ef\u4ee5\u5c06\u6bd4\u4f8b\u4e58\u4ee5\u6bd4\u4f8b\u7684\u81ea\u7136\u5bf9\u6570\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15480 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/shannon4.png\" alt=\"\" width=\"376\" height=\"181\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u7b2c5\u6b65\uff1a\u8ba1\u7b97\u9999\u519c\u591a\u6837\u6027\u6307\u6570<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6700\u540e\uff0c\u5979\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97\u9999\u519c\u591a\u6837\u6027\u6307\u6570\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>H<\/em> = <sub>-\u03a3<\/sub> <em>pi<\/em> * <em>ln(pi<\/em> <sub>)<\/sub><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5bf9\u4e8e\u8fd9\u4e2a\u4f8b\u5b50\uff0c\u5979\u53ef\u4ee5\u4ece\u6700\u540e\u4e00\u5217\u4e2d\u6c42\u548c\u5e76\u4e58\u4ee5\u8d1f\u6570\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15481 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/shannon5.png\" alt=\"\u9999\u519c\u591a\u6837\u6027\u6307\u6570\u793a\u4f8b\" width=\"397\" height=\"220\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u793e\u533a\u7684\u9999\u519c\u591a\u6837\u6027\u6307\u6570\u4e3a<strong>1.49<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5979\u8fd8\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97\u9999\u519c\u80a1\u7968\u6307\u6570\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><sub>EH<\/sub><\/em> = <em>H<\/em> \/ <em>ln<\/em> ( <em>S<\/em> )<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5bf9\u4e8e\u8fd9\u4e2a\u4f8b\u5b50\uff0c\u603b\u5171\u6709<em>S<\/em> = 5 \u4e2a\u7269\u79cd\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u5982\u4e0b\u8ba1\u7b97\u8be5\u6307\u6570\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><sub>EH<\/sub><\/em> = 1.49 \/ <em>ln<\/em> (5) = <strong>0.92<\/strong> \u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u8bf7\u968f\u610f\u4f7f\u7528\u6b64\u9999\u519c\u591a\u6837\u6027\u6307\u6570\u8ba1\u7b97\u5668\u6765\u81ea\u52a8\u8ba1\u7b97\u4efb\u4f55\u6570\u636e\u96c6\u7684\u9999\u519c\u591a\u6837\u6027\u6307\u6570\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9999\u519c\u591a\u6837\u6027\u6307\u6570\uff08\u6709\u65f6\u79f0\u4e3a\u9999\u519c-\u7ef4\u7eb3\u6307\u6570\uff09\u662f\u8861\u91cf\u7fa4\u843d\u5185\u7269\u79cd\u591a\u6837\u6027\u7684\u4e00\u79cd\u65b9\u6cd5\u3002 \u8bb0\u4e0bH \uff0c\u8be5\u6307\u6570\u8ba1\u7b97\u5982\u4e0b\uff1a H = [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1564","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u9999\u519c\u591a\u6837\u6027\u6307\u6570\uff1a\u5b9a\u4e49\u548c\u793a\u4f8b \u2013 \u7edf\u8ba1\u5b66<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u63d0\u4f9b\u4e86\u9999\u519c\u591a\u6837\u6027\u6307\u6570\u7684\u89e3\u91ca\uff0c\u5305\u62ec\u6b63\u5f0f\u5b9a\u4e49\u548c\u5206\u6b65\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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