{"id":61,"date":"2023-06-30T18:17:34","date_gmt":"2023-06-30T10:17:34","guid":{"rendered":"https:\/\/xuebuwan.cn\/?p=61"},"modified":"2023-06-30T18:17:34","modified_gmt":"2023-06-30T10:17:34","slug":"%e7%b2%be%e5%ba%a6%e5%8f%8a%e5%85%b63%cf%83%e5%87%86%e5%88%99","status":"publish","type":"post","link":"https:\/\/xuebuwan.cn\/index.php\/2023\/06\/30\/%e7%b2%be%e5%ba%a6%e5%8f%8a%e5%85%b63%cf%83%e5%87%86%e5%88%99\/","title":{"rendered":"\u7cbe\u5ea6\u53ca\u51763\u03c3\u51c6\u5219"},"content":{"rendered":"<h1>\u7cbe\u5ea6\u53ca\u51763\u03c3\u51c6\u5219<\/h1>\n<h2>1 \u7cbe\u5ea6\u7684\u6982\u5ff5<\/h2>\n<p>\u5b9a\u4e49\uff1a\u6d4b\u91cf\u503c\u4e0e\u771f\u5b9e\u503c(\u6216\u6807\u51c6\u503c)\u7684\u63a5\u8fd1\u7a0b\u5ea6\uff0c\u79f0\u4e3a\u7cbe\u5ea6\u3002<br \/>\n\u7cbe\u5ea6\u4e0e\u8bef\u5dee\u7684\u5927\u5c0f\u76f8\u5bf9\u5e94\uff0c\u56e0\u6b64\u53ef\u7528\u8bef\u5dee\u5927\u5c0f\u6765\u8868\u793a\u7cbe\u5ea6\u7684\u9ad8\u4f4e\uff0c\u8bef\u5dee\u5c0f\u5219\u7cbe\u5ea6\u9ad8\uff0c\u8bef\u5dee\u5927\u5219\u7cbe\u5ea6\u4f4e\u3002<br \/>\n\u7cbe\u5ea6\u5305\u542b\u4e86\u4ee5\u4e0b\u4e09\u7c7b\u6982\u5ff5\uff1a<br \/>\n1)\u51c6\u786e\u5ea6\uff08Accuracy\uff09\uff1a\u8868\u793a\u6d4b\u91cf\u7ed3\u679c\u4e0e\u771f\u503c\u4e4b\u95f4\u7684\u4e00\u81f4\u7a0b\u5ea6\uff0c\u5b83\u53cd\u6620\u6d4b\u91cf\u7ed3\u679c\u4e2d\u7cfb\u7edf\u8bef\u5dee\u4e0e\u968f\u673a\u8bef\u5dee\u7684\u7efc\u5408\u3002\u5176\u5b9a\u91cf\u7279\u5f81\u53ef\u7528\u6d4b\u91cf\u7684\u4e0d\u786e\u5b9a\u5ea6(\u6216\u6781\u9650\u8bef\u5dee)\u6765\u8868\u793a\uff1b<br \/>\n2)\u7cbe\u5bc6\u5ea6\uff08Precision\uff09\uff1a\u8868\u793a\u5728\u4e00\u5b9a\u6761\u4ef6\u4e0b\u8fdb\u884c\u591a\u6b21\u6d4b\u91cf\u65f6\uff0c\u6240\u5f97\u6d4b\u91cf\u7ed3\u679c\u5f7c\u6b64\u4e4b\u95f4\u7b26\u5408\u7684\u7a0b\u5ea6\uff0c\u5b83\u53cd\u6620\u6d4b\u91cf\u7ed3\u679c\u4e2d\u968f\u673a\u8bef\u5dee\u7684\u5f71\u54cd\u7a0b\u5ea6\uff1b<br \/>\n3)\u6b63\u786e\u5ea6\uff08Trueness\uff09\uff1a\u8868\u793a\u6d4b\u91cf\u7ed3\u679c\u4e2d\u7cfb\u7edf\u8bef\u5dee\u5927\u5c0f\u7684\u7a0b\u5ea6\uff0c\u53cd\u6620\u4e86\u89c4\u5b9a\u6761\u4ef6\u4e0b\uff0c\u6d4b\u91cf\u7ed3\u679c\u4e2d\u6240\u6709\u7cfb\u7edf\u8bef\u5dee\u7684\u7efc\u5408\u3002<\/p>\n<h2>2 \u6807\u51c6\u5dee<\/h2>\n<p>\u63d0\u5230\u7cbe\u5ea6\uff0c\u5c31\u5fc5\u987b\u4e86\u89e3\u6807\u51c6\u5dee\u7684\u6982\u5ff5\u3002<br \/>\n\u6211\u4eec\u5148\u590d\u4e60\u4e0b\u7edf\u8ba1\u53ca\u8bef\u5dee\u7406\u8bba\u91cc\u7684\u51e0\u4e2a\u91cd\u8981\u6982\u5ff5\uff0c\u4ee5\u4e0b\u5747\u4e3a\u79bb\u6563\u578b\u6570\u636e\uff0c\u4e0d\u8ba8\u8bba\u8fde\u7eed\u578b\u3002<\/p>\n<h3>2.1 \u6570\u5b66\u671f\u671b\uff08mean\uff09<\/h3>\n<p>\u6570\u5b66\u671f\u671b\uff08\u6216\u5747\u503c\uff0c\u4ea6\u7b80\u79f0\u671f\u671b\uff09\u662f\u8bd5\u9a8c\u4e2d\u6bcf\u6b21\u53ef\u80fd\u7ed3\u679c\u7684\u6982\u7387\u4e58\u4ee5\u5176\u7ed3\u679c\u7684\u603b\u548c\uff0c\u662f\u6700\u57fa\u672c\u7684\u6570\u5b66\u7279\u5f81\u4e4b\u4e00\u3002\u5b83\u53cd\u6620\u968f\u673a\u53d8\u91cf\u5e73\u5747\u53d6\u503c\u7684\u5927\u5c0f\u3002<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649e803c4e3f1.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649e803c4e3f1.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"image-20230630151154420\" \/><\/div><\/p>\n<p>\u5f0f\u4e2d\uff1ax<sub>i<\/sub>\u4e3an\u4e2a\u79bb\u6563\u578b\u968f\u673a\u53d8\u91cf\u503c,p<sub>i<\/sub>\u4e3a\u6bcf\u4e00\u4e2a\u968f\u673a\u53d8\u91cf\u5bf9\u5e94\u53d6\u503c\u7684\u6982\u7387\u3002<\/p>\n<p>\u5047\u8bbe\u6bcf\u4e2a\u53d8\u91cf\u53d6\u503c\u6982\u7387\u76f8\u540c\uff0c\u6b64\u65f6E(X) = (\u2211<sup>n<\/sup><sub>i=1<\/sub>X<sup>i<\/sup>)\/n\u5373\u4e3a\u6837\u672c\u7684\u7b97\u672f\u5e73\u5747\u3002<\/p>\n<h3>2.2 \u65b9\u5dee\uff08variance\uff09<\/h3>\n<p>\u6982\u7387\u8bba\u4e2d\u65b9\u5dee\u7528\u6765\u5ea6\u91cf\u968f\u673a\u53d8\u91cf\u548c\u5176\u6570\u5b66\u671f\u671b\uff08\u5373\u5747\u503c\uff09\u4e4b\u95f4\u7684\u504f\u79bb\u7a0b\u5ea6\u3002\u79bb\u6563\u6570\u636e\u7684\u65b9\u5dee\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649e86dd8329d.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649e86dd8329d.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"image-20230630154011761\" \/><\/div><\/p>\n<p>\u5176\u4e2d\u03bc = E(X) \uff0c\u5373X\u7684\u671f\u671b\u503c\u3002<\/p>\n<p>\u5047\u8bbe\u6bcf\u4e2a\u53d8\u91cf\u53d6\u503c\u6982\u7387\u76f8\u540c\uff0c\u6b64\u65f6<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649e8893b5793.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649e8893b5793.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"image-20230630154730298\" \/><\/div><\/p>\n<p>\u5f0f\u4e2d\uff1a<span style=\"text-decoration: overline\">x<\/span>\u4e3a\u6240\u6709\u6837\u672c\u503c\u7684\u7b97\u672f\u5e73\u5747\u503c\u3002\u5b9e\u9645\u4e0a\uff0c\u65b9\u5dee\u516c\u5f0f\u7684\u5206\u6bcd\u5e94\u4e3a\u6570\u636e\u4e2a\u6570\u51cf\u4e00\uff0c\u5373\u65e0\u504f\u65b9\u5dee\uff0c\u611f\u5174\u8da3\u53ef\u770b<a href=\"https:\/\/www.zhihu.com\/question\/20099757\">\u77e5\u4e4e\uff1a\u300a\u4e3a\u4ec0\u4e48\u6837\u672c\u65b9\u5dee\u7684\u5206\u6bcd\u662f n-1\uff1f\u300b<\/a>\u3002<\/p>\n<h3>2.3 \u6807\u51c6\u5dee\uff08standard deviation\uff09<\/h3>\n<p>\u6807\u51c6\u5dee\uff0c\u53c8\u79f0\u5747\u65b9\u5dee\uff0c\u6807\u51c6\u5dee\u5b9a\u4e49\u662f\u603b\u4f53\u5404\u5355\u4f4d\u6807\u51c6\u503c\u4e0e\u5176\u5e73\u5747\u6570\u79bb\u5dee\u5e73\u65b9\u548c\u7684\u7b97\u672f\u5e73\u5747\u6570\u7684\u5e73\u65b9\u6839\uff0c\u5373\u6807\u51c6\u5dee\u662f\u65b9\u5dee\u7684\u7b97\u672f\u5e73\u65b9\u6839\uff0c\u7528\u03c3\u8868\u793a\u3002<\/p>\n<p><em>\u03c3<\/em>=\\sqrt <em>D<\/em>(<em>X<\/em>)\uff0c\u5373<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649e8d3a5e86a.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649e8d3a5e86a.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"image-20230630160720264\" \/><\/div><\/p>\n<h2>3 3\u03c3\u51c6\u5219<\/h2>\n<h3>3.1 \u6b63\u6001\u5206\u5e03<\/h3>\n<p>\u6b63\u6001\u5206\u5e03\u6982\u5ff5\u662f\u7531\u5fb7\u56fd\u7684\u6570\u5b66\u5bb6\u548c\u5929\u6587\u5b66\u5bb6Moivre\u4e8e1733\u5e74\u9996\u6b21\u63d0\u51fa\u7684\uff0c\u4f46\u7531\u4e8e\u5fb7\u56fd\u6570\u5b66\u5bb6Gauss\u7387\u5148\u5c06\u5176\u5e94\u7528\u4e8e\u5929\u6587\u5b66\u7814\u7a76\uff0c\u6545\u6b63\u6001\u5206\u5e03\u53c8\u53eb\u9ad8\u65af\u5206\u5e03\u3002\u9ad8\u65af\u5bf9\u4e8e\u6b63\u6001\u5206\u5e03\u7684\u5386\u53f2\u5730\u4f4d\u7684\u786e\u7acb\u8d77\u5230\u4e86\u51b3\u5b9a\u6027\u7684\u4f5c\u7528\uff0c\u751a\u81f3\u5fb7\u56fd\u786c\u5e01\u4e0e10\u9a6c\u514b\u7684\u7eb8\u5e01\u4e0a\u90fd\u7559\u6709\u9ad8\u65af\u7684\u5934\u50cf\u548c\u6b63\u6001\u5bc6\u5ea6\u66f2\u7ebf\u3002<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649e8d73ee858.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649e8d73ee858.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"12345\"  \/><\/div><\/p>\n<p>\u6b63\u6001\u5206\u5e03\u662f\u81ea\u7136\u754c\u53ca\u5de5\u7a0b\u6280\u672f\u4e2d\u6700\u5e38\u89c1\u7684\u5206\u5e03\u4e4b\u4e00\uff0c\u5927\u91cf\u7684\u968f\u673a\u73b0\u8c61\u90fd\u662f\u670d\u4ece\u6216\u8fd1\u4f3c\u670d\u4ece\u6b63\u6001\u5206\u5e03\u7684\uff0c\u53ef\u4ee5\u8bc1\u660e\uff0c\u5982\u679c\u4e00\u4e2a\u968f\u673a\u6307\u6807\u53d7\u5230\u8bf8\u591a\u56e0\u7d20\u7684\u5f71\u54cd\uff0c\u4f46\u5176\u4e2d\u4efb\u4f55\u4e00\u4e2a\u56e0\u7d20\u90fd\u4e0d\u8d77\u51b3\u5b9a\u6027\u4f5c\u7528\uff0c\u5219\u8be5\u968f\u673a\u6307\u6807\u4e00\u5b9a\u670d\u4ece\u6216\u8fd1\u4f3c\u670d\u4ece\u6b63\u6001\u5206\u5e03\u3002<\/p>\n<h3>3.2 3\u03c3\u51c6\u5219<\/h3>\n<p>3\u03c3\u51c6\u5219\u53c8\u79f0\u4e3a\u62c9\u4f9d\u8fbe\u51c6\u5219\uff0c\u5b83\u662f\u5148\u5047\u8bbe\u4e00\u7ec4\u68c0\u6d4b\u6570\u636e\u53ea\u542b\u6709\u968f\u673a\u8bef\u5dee\uff0c\u5bf9\u5176\u8fdb\u884c\u8ba1\u7b97\u5904\u7406\u5f97\u5230\u6807\u51c6\u504f\u5dee\uff0c\u6309\u4e00\u5b9a\u6982\u7387\u786e\u5b9a\u4e00\u4e2a\u533a\u95f4\uff0c\u8ba4\u4e3a\u51e1\u8d85\u8fc7\u8fd9\u4e2a\u533a\u95f4\u7684\u8bef\u5dee\uff0c\u5c31\u4e0d\u5c5e\u4e8e\u968f\u673a\u8bef\u5dee\u800c\u662f\u7c97\u5927\u8bef\u5dee\uff0c\u542b\u6709\u8be5\u8bef\u5dee\u7684\u6570\u636e\u5e94\u4e88\u4ee5\u5254\u9664\u3002<br \/>\n\u8fd9\u79cd\u5224\u522b\u5904\u7406\u539f\u7406\u53ca\u65b9\u6cd5\u4ec5\u5c40\u9650\u4e8e\u5bf9\u6b63\u6001\u6216\u8fd1\u4f3c\u6b63\u6001\u5206\u5e03\u7684\u6837\u672c\u6570\u636e\u5904\u7406\uff0c\u5b83\u662f\u4ee5\u6d4b\u91cf\u6b21\u6570\u5145\u5206\u5927\u4e3a\u524d\u63d0\u7684\uff0c\u5373\u5176\u9002\u7528\u4e8e\u6709\u8f83\u591a\u7ec4\u6570\u636e\u7684\u60c5\u51b5\uff0c\u5f53\u6d4b\u91cf\u6b21\u6570\u8f83\u5c11\u7684\u60c5\u5f62\u7528\u8be5\u51c6\u5219\u5254\u9664\u7c97\u5927\u8bef\u5dee\u662f\u4e0d\u591f\u53ef\u9760\u7684\u3002\u56e0\u6b64\uff0c\u5728\u6d4b\u91cf\u6b21\u6570\u8f83\u5c11\u7684\u60c5\u51b5\u4e0b\uff0c\u6700\u597d\u4e0d\u8981\u9009\u75283\u03c3\u51c6\u5219\uff0c\u800c\u7528\u5176\u4ed6\u51c6\u5219\u3002<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649eaa1b6ffab.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649eaa1b6ffab.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"123\" \/><\/div><\/p>\n<p>\u5982\u56fe\u6240\u793a\u6b63\u6001\u5206\u5e03\u4e2d\uff0c\u03c3 \u03c3\u03c3\u4e3a\u6807\u51c6\u5dee\uff0c\u03bc \u4e3a\u5747\u503c\uff0cx = \u03bc \u4e3a\u56fe\u50cf\u7684\u5bf9\u79f0\u8f74\uff0c3\u03c3\u51c6\u5219\u4e3a\uff1a<br \/>\n\u6570\u503c\u5206\u5e03\u5728\uff08\u03bc-\u03c3,\u03bc+\u03c3)\u4e2d\u7684\u6982\u7387\u4e3a0.6827\uff1b<br \/>\n\u6570\u503c\u5206\u5e03\u5728\uff08\u03bc-2\u03c3,\u03bc+2\u03c3)\u4e2d\u7684\u6982\u7387\u4e3a0.9545\uff1b<br \/>\n\u6570\u503c\u5206\u5e03\u5728\uff08\u03bc-3\u03c3,\u03bc+3\u03c3)\u4e2d\u7684\u6982\u7387\u4e3a0.9973\uff1b<br \/>\n\u53ef\u4ee5\u8ba4\u4e3a\uff0c\u4e00\u4e2a\u6b63\u6001\u5206\u5e03\u7684\u6570\u636e\u96c6\u7684\u53d6\u503c\u51e0\u4e4e\u5168\u90e8\u96c6\u4e2d\u5728\uff08\u03bc-3\u03c3,\u03bc+3\u03c3)\u533a\u95f4\u5185\uff0c\u8d85\u51fa\u8fd9\u4e2a\u8303\u56f4\u7684\u53ef\u80fd\u6027\u4ec5\u5360\u4e0d\u52300.3%\u3002<\/p>\n<h3>3.3 \u5982\u4f55\u7406\u89e33\u03c3\u51c6\u5219\u4e0b\u7684\u7cbe\u5ea6\u6307\u6807<\/h3>\n<p>\u4ee5\u4e0b\u7eaf\u5c5e\u4e2a\u4eba\u7406\u89e3\uff0c\u6b22\u8fce\u8ba8\u8bba\u3002<\/p>\n<ol>\n<li>\u8fdb\u884c\u8bbe\u5907\u7684\u7cbe\u5ea6\u8bc4\u4f30\u65f6\uff0c\u6839\u636e\u6d4b\u91cf\u7684\u6570\u636e\u96c6\u5f97\u51fa\u6807\u51c6\u5dee\u03c3\u540e\uff0c\u5c31\u5f97\u51fa\u8fd9\u4e2a\u8bbe\u5907\u5728\u7279\u5b9a\u6982\u7387\u4e0b\u7684\u7cbe\u5ea6\u3002\u4e3e\u4f8b\u6765\u8bf4\uff0c\u5047\u8bbe\u8ba1\u7b97\u5f97\u51fa\u7684\u03c3\u4e3a1\u03bcm\uff0c\u5219\u7ed3\u8bba\u5c31\u662f\uff1a\u572868.27%\u6982\u7387\u4e0b\u8bbe\u5907\u7cbe\u5ea61\u03bcm\uff0c\u572895.45%\u6982\u7387\u4e0b\u8bbe\u5907\u7cbe\u5ea6\u4e3a2\u03bcm\uff0c\u572899.73%\u6982\u7387\u4e0b\u8bbe\u5907\u7cbe\u5ea6\u4e3a3\u03bcm\uff0c\u4e0e\u8bbe\u5907\u8981\u6c42\u7684\u7cbe\u5ea6\u6307\u6807\u5bf9\u6bd4\uff0c\u5c31\u53ef\u8bc4\u4ef7\u8be5\u8bbe\u5907\u662f\u5426\u6ee1\u8db3\u7cbe\u5ea6\u8981\u6c42\u3002<\/li>\n<li>\u8bbe\u5907\u7684\u7cbe\u5ea6\u5e94\u8be5\u90fd\u662f\u5728\u4e00\u5b9a\u6982\u7387\u6761\u4ef6\u4e0b\u7684\uff0c\u6bd4\u5982\u8bf4\u6807\u660e1\u03bcm\u7cbe\u5ea6(3\u03c3)\u6307\u6807\u7684\u8bbe\u5907\uff0c\u7406\u8bba\u4e0a\u4f9d\u7136\u67090.27%\u7684\u6982\u7387\u8fbe\u4e0d\u52301\u03bcm\u8fd9\u4e2a\u7cbe\u5ea6\uff0c\u800c\u6807\u660e1\u03bcm\u7cbe\u5ea6(1\u03c3)\u6307\u6807\u7684\u8bbe\u5907\uff0c\u7406\u8bba\u4e0a\u5c31\u670931.73%\u7684\u6982\u7387\u8fbe\u4e0d\u52301\u03bcm\u8fd9\u4e2a\u7cbe\u5ea6\uff0c\u4f46\u8fd9\u5e76\u4e0d\u662f\u8bf4\u8be5\u8bbe\u5907\u5c31\u4e0d\u5408\u683c\u4e0d\u80fd\u7528\uff0c\u800c\u662f\u8981\u6839\u636e\u81ea\u5df1\u7684\u4f7f\u7528\u8981\u6c42\u6765\u8bc4\u4f30\u8fd9\u4e2a\u8bbe\u5907\u662f\u5426\u9002\u5408\u7528\u3002\u8fd9\u4e5f\u8bf4\u660e\uff0c\u5f88\u591a\u8bbe\u5907\u53ea\u63d0\u7cbe\u5ea6\u6307\u6807\uff0c\u800c\u4e0d\u6807\u6ce8\u662f\u51e0\u4e2a\u03c3\u6761\u4ef6\u4e0b\uff0c\u662f\u4e0d\u4e25\u8c28\u548c\u4e0d\u5b8c\u6574\u7684\u3002<\/li>\n<li>\u8bbe\u5907\u7684\u7cbe\u5ea6\u6307\u6807\u6309\u71673\u03c3\u51c6\u5219\u63d0\u51fa\u540e\uff0c\u5b9e\u9645\u4e0a\u5c31\u662f\u63d0\u51fa\u4e86\u8bbe\u5907\u8bd5\u9a8c\u6570\u636e\u96c6\u7684\u6807\u51c6\u5dee\u03c3\u7684\u8981\u6c42\uff0c\u6700\u7ec8\u8bd5\u9a8c\u6570\u636e\u7684\u6807\u51c6\u5dee\u5982\u679c\u5728\u6b64\u8303\u56f4\u5185\uff0c\u7cbe\u5ea6\u5c31\u7b26\u5408\u8981\u6c42\uff0c\u5426\u5219\u7cbe\u5ea6\u5c31\u4e0d\u7b26\u5408\u8981\u6c42\u3002\u540c\u65f6\uff0c\u5b9e\u9645\u5de5\u7a0b\u4e2d\uff0c\u7531\u4e8e3\u03c3\u7684\u6982\u7387\u22481\uff0c\u6240\u4ee53\u03c3\u7684\u7cbe\u5ea6\u6307\u6807\u4e00\u822c\u5c31\u662f\u8981\u6c42\u8bbe\u5907\u6570\u636e\u96c6\u7684\u6807\u51c6\u5dee\u03c3\u5fc5\u987b\u5c0f\u4e8e\u6240\u63d0\u7684\u7cbe\u5ea6\u76841\/3\u3002<\/li>\n<\/ol>\n<h2>4 \u9644 \u5176\u5b83\u5e38\u89c1\u8bef\u5dee\u6982\u5ff5<\/h2>\n<p>\u4ee5\u4e0a\u63d0\u5230\u4e86\u7edf\u8ba1\u53ca\u8bef\u5dee\u7406\u8bba\u4e2d\u7684\u51e0\u4e2a\u91cd\u8981\u6982\u5ff5\uff0c\u5b9e\u9645\u4e0a\u8fd8\u6709\u5f88\u591a\u7c7b\u4f3c\u7684\u6982\u5ff5\uff0c\u8fd9\u91cc\u518d\u5217\u51fa\u51e0\u4e2a\uff0c\u4ee5\u5907\u6bd4\u8f83\u3002<\/p>\n<h3>4.1 \u5747\u65b9\u8bef\u5dee\uff08mean square error, MSE\uff09<\/h3>\n<p>\u5747\u65b9\u8bef\u5dee\u662f\u5404\u6570\u636e\u504f\u79bb\u771f\u5b9e\u503c\u7684\u8ddd\u79bb\u5e73\u65b9\u7684\u5e73\u5747\u6570\uff0c\u4e5f\u5373\u8bef\u5dee\u5e73\u65b9\u548c\u7684\u5e73\u5747\u6570\uff0c\u8ba1\u7b97\u516c\u5f0f\u5f62\u5f0f\u4e0a\u63a5\u8fd1\u65b9\u5dee\uff0c\u4f46\u4e0d\u5b8c\u5168\u4e00\u6837\uff0c\u5982\u679c\u53ea\u6709\u4e00\u7ec4\u6570\u636e\uff0c\u6837\u672c\u65b9\u5dee\u5c31\u662f\u5747\u65b9\u8bef\u5dee\u3002<\/p>\n<h3>4.2 \u5747\u65b9\u6839\u8bef\u5dee\uff08root mean squared error, RMSE\uff09<\/h3>\n<p>\u5747\u65b9\u8bef\u5dee\u7684\u5f00\u65b9\u53eb\u5747\u65b9\u6839\u8bef\u5dee\uff0c\u540c\u6837\uff0c\u4e00\u5b9a\u6761\u4ef6\u4e0b\uff0c\u5747\u65b9\u6839\u8bef\u5dee\u5c31\u662f\u6807\u51c6\u5dee\u3002<\/p>\n<h3>4.3 \u5747\u65b9\u6839\uff08root mean square, RMS\uff09<\/h3>\n<p>\u5747\u65b9\u6839\u503c\uff08RMS\uff09\u4e5f\u79f0\u4e3a\u6709\u6548\u503c\uff0c\u5b83\u7684\u8ba1\u7b97\u65b9\u6cd5\u662f\u5148\u5e73\u65b9\u3001\u518d\u5e73\u5747\u3001\u7136\u540e\u5f00\u65b9\uff0c\u5373<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649eab5055843.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/image.xuebuwan.cn\/i\/2023\/06\/30\/649eab5055843.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"image-20230630181543073\" \/><\/div><\/p>\n<h3>4.4 \u6781\u5dee\uff08range\uff09<\/h3>\n<p>\u6781\u5dee\u53c8\u79f0\u8303\u56f4\u8bef\u5dee\u6216\u5168\u8ddd\uff0c\u4ee5R\u8868\u793a\uff0c\u662f\u7528\u6765\u8868\u793a\u7edf\u8ba1\u8d44\u6599\u4e2d\u7684\u53d8\u5f02\u91cf\u6570(measures of variation)\uff0c\u5176\u6700\u5927\u503c\u4e0e\u6700\u5c0f\u503c\u4e4b\u95f4\u7684\u5dee\u8ddd\uff0c\u5373\u6700\u5927\u503c\u51cf\u6700\u5c0f\u503c\u540e\u6240\u5f97\u4e4b\u6570\u636e\u3002<\/p>\n<p>\u672c\u6587\u8f6c\u8f7d\u81ea\uff1a<br \/>\n\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014<br \/>\n\u7248\u6743\u58f0\u660e\uff1a\u672c\u6587\u4e3aCSDN\u535a\u4e3b\u300c\u5bd2\u97e9Glory\u300d\u7684\u539f\u521b\u6587\u7ae0\uff0c\u9075\u5faaCC 4.0 BY-SA\u7248\u6743\u534f\u8bae\uff0c\u8f6c\u8f7d\u8bf7\u9644\u4e0a\u539f\u6587\u51fa\u5904\u94fe\u63a5\u53ca\u672c\u58f0\u660e\u3002<br \/>\n\u539f\u6587\u94fe\u63a5\uff1a<a href=\"https:\/\/blog.csdn.net\/hangl_ciom\/article\/details\/89737176\">https:\/\/blog.csdn.net\/hangl_ciom\/article\/details\/89737176<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7cbe\u5ea6\u53ca\u51763\u03c3\u51c6\u5219 1 \u7cbe\u5ea6\u7684\u6982\u5ff5 \u5b9a\u4e49\uff1a\u6d4b\u91cf\u503c\u4e0e\u771f\u5b9e\u503c(\u6216\u6807\u51c6\u503c)\u7684\u63a5\u8fd1\u7a0b\u5ea6\uff0c\u79f0\u4e3a\u7cbe\u5ea6\u3002 \u7cbe\u5ea6\u4e0e\u8bef\u5dee\u7684\u5927\u5c0f\u76f8\u5bf9 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[19],"class_list":["post-61","post","type-post","status-publish","format-standard","hentry","category-3","tag-19"],"_links":{"self":[{"href":"https:\/\/xuebuwan.cn\/index.php\/wp-json\/wp\/v2\/posts\/61","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xuebuwan.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xuebuwan.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xuebuwan.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/xuebuwan.cn\/index.php\/wp-json\/wp\/v2\/comments?post=61"}],"version-history":[{"count":1,"href":"https:\/\/xuebuwan.cn\/index.php\/wp-json\/wp\/v2\/posts\/61\/revisions"}],"predecessor-version":[{"id":62,"href":"https:\/\/xuebuwan.cn\/index.php\/wp-json\/wp\/v2\/posts\/61\/revisions\/62"}],"wp:attachment":[{"href":"https:\/\/xuebuwan.cn\/index.php\/wp-json\/wp\/v2\/media?parent=61"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xuebuwan.cn\/index.php\/wp-json\/wp\/v2\/categories?post=61"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xuebuwan.cn\/index.php\/wp-json\/wp\/v2\/tags?post=61"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}