{"id":1348,"date":"2023-07-26T19:00:35","date_gmt":"2023-07-26T19:00:35","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%91%9e%e5%88%a9%e5%88%86%e5%b8%83\/"},"modified":"2023-07-26T19:00:35","modified_gmt":"2023-07-26T19:00:35","slug":"%e7%91%9e%e5%88%a9%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%91%9e%e5%88%a9%e5%88%86%e5%b8%83\/","title":{"rendered":"\u745e\u5229\u5206\u5e03\u7b80\u4ecb"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u745e\u5229\u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u8fde\u7eed\u6982\u7387\u5206\u5e03\uff0c\u7528\u4e8e\u5bf9\u53ea\u80fd\u53d6\u7b49\u4e8e\u6216\u5927\u4e8e\u96f6\u7684\u503c<a href=\"https:\/\/statorials.org\/cn\/\u968f\u673a\u53d8\u91cf-1\/\" target=\"_blank\" rel=\"noopener\">\u7684\u968f\u673a\u53d8\u91cf<\/a>\u8fdb\u884c\u5efa\u6a21\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5176\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">f(x; \u03c3) = (x\/\u03c3 <sup>2<\/sup> )e <sup>-x <sup>2<\/sup> \/(2\u03c3 <sup>2<\/sup> )<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5176\u4e2d \u03c3 \u662f\u5206\u5e03\u7684\u5c3a\u5ea6\u53c2\u6570\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u745e\u5229\u5206\u5e03\u7684\u6027\u8d28<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u745e\u5229\u5206\u5e03\u5177\u6709\u4ee5\u4e0b\u6027\u8d28\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u5e73\u5747\u503c\uff1a<\/strong> \u03c3\u221a\u03c0 <span style=\"border-top: 1px solid black;\">\/2<\/span><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u504f\u5dee\uff1a<\/strong> ((4-\u03c0)\/2)\u03c3 <sup>2<\/sup><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u4f17\u6570\uff1a<\/strong> \u03c3<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7531\u4e8e \u03c0 \u5177\u6709\u5df2\u77e5\u7684\u6570\u503c\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5c5e\u6027\u7b80\u5316\u5982\u4e0b\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u5e73\u5747\u503c\uff1a<\/strong> 1.253\u03c3<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u504f\u5dee\uff1a<\/strong> 0.429\u03c3 <sup>2<\/sup><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u4f17\u6570\uff1a<\/strong> \u03c3<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u745e\u5229\u5206\u5e03\u7684\u53ef\u89c6\u5316<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4e0b\u56fe\u663e\u793a\u4e86\u745e\u5229\u5206\u5e03\u7684\u5f62\u72b6\uff0c\u56e0\u4e3a\u5b83\u91c7\u7528\u4e0d\u540c\u7684\u5c3a\u5ea6\u53c2\u6570\u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13154 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rayleigh1.png\" alt=\"\u745e\u5229\u6982\u7387\u5206\u5e03\" width=\"419\" height=\"377\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u5c3a\u5ea6\u53c2\u6570 \u03c3 \u7684\u503c\u8d8a\u5927\uff0c\u5206\u5e03\u5c31\u8d8a\u5bbd\u3002<\/span><\/p>\n<p><em><span style=\"color: #000000;\"><strong>\u5956\u52b1\uff1a<\/strong>\u5bf9\u4e8e\u90a3\u4e9b\u597d\u5947\u7684\u4eba\uff0c\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b R \u4ee3\u7801\u6765\u751f\u6210\u4e0a\u9762\u7684\u56fe\u8868\uff1a<\/span><\/em><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load VGAM package\n<\/span><span style=\"color: #008000;\">library<\/span> (VGAM)\n\n<span style=\"color: #008080;\">#create density plots\n<\/span>curve(drayleigh(x, scale = 0.5), from=0, to=10, col='green')\ncurve(drayleigh(x, scale = 1), from=0, to=10, col='red', add=TRUE)\ncurve(drayleigh(x, scale = 2), from=0, to=10, col='blue', add=TRUE)\ncurve(drayleigh(x, scale = 4), from=0, to=10, col='purple', add=TRUE)\n\n<span style=\"color: #008080;\">#add legend\n<\/span>legend(6, 1, legend=c(\"\u03c3=0.5\", \"\u03c3=1\", \"\u03c3=2\", \"\u03c3=4\"),\n       col=c(\"green\", \"red\", \"blue\", \"purple\"), lty=1, cex=1.2)\n<\/strong><\/pre>\n<h3><span style=\"color: #000000;\"><strong>\u4e0e\u5176\u4ed6\u53d1\u884c\u7248\u7684\u5173\u7cfb<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u745e\u5229\u5206\u5e03\u4e0e\u5176\u4ed6\u6982\u7387\u5206\u5e03\u6709\u4ee5\u4e0b\u5173\u7cfb\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong>\u5f53\u5c3a\u5ea6\u53c2\u6570\uff08\u03c3\uff09\u7b49\u4e8e<span style=\"color: #000000;\">1\u65f6\uff0c\u745e\u5229\u5206\u5e03\u7b49\u4e8e2\u4e2a\u81ea\u7531\u5ea6\u7684\u5361\u65b9\u5206\u5e03\u3002<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong>\u745e\u5229\u5206\u5e03\u662f\u5f62\u72b6\u53c2\u6570 k = 2 \u7684\u5a01\u5e03\u5c14\u5206\u5e03\u7684\u7279\u4f8b\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong>\u5c3a\u5ea6\u53c2\u6570\u4e3a \u03c3 \u7684\u745e\u5229\u5206\u5e03\u7b49\u4e8e Rice(0, \u03c3) \u7684\u83b1\u65af\u5206\u5e03\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5e94\u7528\u9886\u57df<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5728\u5b9e\u8df5\u4e2d\uff0c\u745e\u5229\u5206\u5e03\u7528\u4e8e\u5404\u79cd\u5e94\u7528\uff0c\u5305\u62ec\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong>\u745e\u5229\u5206\u5e03\u7528\u4e8e\u6a21\u62df\u6d77\u6d0b\u4e2d\u6ce2\u6d6a\u7684\u884c\u4e3a\uff0c\u5305\u62ec\u6ce2\u6d6a\u5230\u8fbe\u6ce2\u5cf0\u6240\u9700\u7684\u65f6\u95f4\u4ee5\u53ca\u6ce2\u6d6a\u8fbe\u5230\u7684\u6700\u5927\u9ad8\u5ea6\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong>\u745e\u5229\u5206\u5e03\u7528\u4e8e\u5bf9\u78c1\u5171\u632f\u6210\u50cf\uff08\u901a\u5e38\u79f0\u4e3a MRI\uff09\u4e2d\u80cc\u666f\u6570\u636e\u7684\u884c\u4e3a\u8fdb\u884c\u5efa\u6a21\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong>\u745e\u5229\u5206\u5e03\u7528\u4e8e\u8425\u517b\u9886\u57df\uff0c\u7528\u4e8e\u6a21\u62df\u4eba\u7c7b\u548c\u52a8\u7269\u7684\u8425\u517b\u6c34\u5e73\u4e0e\u8425\u517b\u53cd\u5e94\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u63d0\u4f9b\u4e86\u6709\u5173\u7edf\u8ba1\u4e2d\u5176\u4ed6\u5206\u5e03\u7684\u66f4\u591a\u4fe1\u606f\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u6b63\u6001\u5206\u5e03\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u9879\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u4e8c\u9879\u5206\u5e03\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u9c7c\u7c7b\u5206\u5e03\/\" target=\"_blank\" rel=\"noopener\">\u6cca\u677e\u5206\u5e03\u7b80\u4ecb<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u745e\u5229\u5206\u5e03\u662f\u4e00\u79cd\u8fde\u7eed\u6982\u7387\u5206\u5e03\uff0c\u7528\u4e8e\u5bf9\u53ea\u80fd\u53d6\u7b49\u4e8e\u6216\u5927\u4e8e\u96f6\u7684\u503c\u7684\u968f\u673a\u53d8\u91cf\u8fdb\u884c\u5efa\u6a21\u3002 \u5176\u6982\u7387\u5bc6\u5ea6\u51fd\u6570\u5982\u4e0b\uff1a f(x;  [&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-1348","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is 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