{"rsdb":{"rid":"179524","subhead":"","postdate":"0","aid":"130293","fid":"91","uid":"1","topic":"1","content":"
\n ### \u524d\u63d0\u5047\u8bbe - \u59b9\u5b50\u4eec\u4e00\u751f\u4e2d\u53ef\u4ee5\u9047\u5230100\u4e2a\u8ffd\u6c42\u8005\uff0c\u8ffd\u6c42\u8005\u7684\u4f18\u79c0\u7a0b\u5ea6\u7b26\u5408\u6b63\u6001\u5206\u5e03\uff1b - \u6bcf\u4e2a\u59b9\u5b50\u90fd\u5177\u5907\u5224\u65ad\u5e76\u6bd4\u8f83\u8ffd\u6c42\u8005\u4f18\u79c0\u7a0b\u5ea6\u7684\u80fd\u529b\uff1b - \u63a5\u53d7\u6216\u62d2\u7edd\u4e00\u4e2a\u8ffd\u6c42\u8005\u540e\u6c38\u8fdc\u65e0\u6cd5\u540e\u6094\u3002 ### \u90a3\u4e48\uff0c\u95ee\u9898\u6765\u4e86 #### \u5f53\u9047\u5230\u8ffd\u6c42\u8005\u65f6\uff0c\u5982\u4f55\u9009\u62e9\u624d\u80fd\u83b7\u5f97\u6700\u4f18\u7ed3\u679c\uff1f \u5982\u679c\u4eba\u7684\u4f18\u79c0\u7a0b\u5ea6\u7b26\u5408\u5747\u503c\u4e3a80\uff0c\u65b9\u5dee20\u7684\u6b63\u6001\u5206\u5e03\uff0c\u968f\u673a\u4ea7\u751f100\u4e2a\u8ffd\u6c42\u8005\uff0c\u5176\u4f18\u79c0\u7a0b\u5ea6\u5206\u5e03\u60c5\u51b5\u89c1\u4e0b\u56fe\uff1a ```{r} p=rnorm(100,80,20) hist(p,main="\u8ffd\u6c42\u8005--\u7edf\u8ba1", ylab="\u6570\u91cf", xlab="\u4f18\u79c0\u7a0b\u5ea6", col=rainbow(50)) boxplot(p,col="red",lwd=2) ``` ![](https:\/\/www.cppentry.com\/upload_files\/article\/91\/1_4a10f__.png) ![](https:\/\/www.cppentry.com\/upload_files\/article\/91\/1_tth1y__.png) \u6761\u5f62\u56fe\u663e\u793a\u4e86\u8ffd\u6c42\u8005\u7684\u521d\u59cb\u72b6\u6001\uff0c\u76d2\u88c5\u56fe\u663e\u793a\u7684\u662f\u5927\u591a\u6570\u59b9\u5b50\u6240\u63a5\u53d7\u7684\u8ffd\u6c42\u8005\u7684\u80fd\u529b\u60c5\u51b5\u3002\u901a\u8fc7\u5206\u5e03\u56fe\u53ef\u4ee5\u770b\u51fa\uff0c\u5927\u591a\u6570\u7406\u6027\u4eba\u53ea\u80fd\u9009\u62e9\u90a3\u4e9b\u4f18\u79c0\u7a0b\u5ea6\u572880\u5de6\u53f3\u7684\u8ffd\u6c42\u8005\u3002 ### \u4e0b\u9762\u4ecb\u7ecd\u9009\u62e9\u65b9\u6cd5 \u9996\u5148\uff0c\u4e3a\u4e86\u4e0d\u9519\u8fc7\u5728\u672a\u6765\u53ef\u4ee5\u63a5\u53d7\u66f4\u4f18\u79c0\u7684\u8ffd\u6c42\u8005\uff0c\u7406\u6027\u7684\u59b9\u5b50\u4f1a**\u62d2\u7edd**\u6700\u65e9\u7684\u4e00\u6279\u8ffd\u6c42\u8005\uff0c\u5e76\u4e14\u91c7\u7528\u7b2c\u4e00\u6279\u8ffd\u6c42\u8005\u505a\u6837\u672c\u91cfk\uff0c\u7406\u6027\u5730\u5224\u65ad\u51fa\u8ffd\u6c42\u8005\u4e2d\u6700\u4f18\u79c0\u7684\u4e00\u4f4d\uff0c\u5176\u4f18\u79c0\u7a0b\u5ea6\u8bb0\u4f5cy\u3002\u7136\u540e\uff0c\u5f53\u9047\u5230\u65b0\u8ffd\u6c42\u8005\u7684\u65f6\u5019\uff0c\u5c06\u8ffd\u6c42\u8005\u7684\u4f18\u79c0\u7a0b\u5ea6\u4e0ey\u8fdb\u884c\u6bd4\u8f83\uff0c\u4f18\u4e8ey\u5219\u9009\u62e9\u63a5\u53d7\uff0c\u5426\u5219\u7ee7\u7eed\u7b49\u5f85\u65b0\u7684\u8ffd\u6c42\u8005\uff1b\u82e5\u65b0\u8ffd\u6c42\u8005\u7684\u4f18\u79c0\u7a0b\u5ea6\u59cb\u7ec8\u5c0f\u4e8ey\uff0c\u5219\u9009\u62e9\u505a\u5269\u5973\u3002 #### \u5982\u4f55\u6c42\u51fa\u6700\u4f18\u7684\u6837\u672c\u91cfk\uff1f \u5982\u679c\u6700\u4f18\u79c0\u7684\u8ffd\u6c42\u8005\u51fa\u73b0\u5728\u7b2ci\u4e2a\u4f4d\u7f6e\uff08k < i \u2264n\uff09\uff0c\u5176\u4e2dk\u3001n\u4e3a\u5927\u4e8e0\u7684\u56fa\u5b9a\u503c\u3002\u8981\u60f3\u8ba9\u7b2ci\u4e2a\u51fa\u73b0\u7684\u4ed6\u6210\u529f\u88ab\u59b9\u5b50\u63a5\u53d7\uff0c\u5c31\u5fc5\u987b\u5f97\u6ee1\u8db3\u524d i-1 \u4efb\u610f\u4e00\u4e2a\u4f4d\u7f6e\u51fa\u73b0\u7684\u8ffd\u6c42\u8005\u88ab\u62d2\u7edd\uff0c\u8fd9\u6709$\\frac{k}{i-1}$\u7684\u53ef\u80fd\u3002\u8003\u8651\u6240\u6709\u53ef\u80fd\u7684i\uff0c\u6211\u4eec\u4fbf\u5f97\u5230\u4e86\u8bd5\u63a2\u524d k \u4e2a\u8ffd\u6c42\u8005\u4e4b\u540e\u80fd\u9009\u4e2d\u6700\u4f73\u8ffd\u6c42\u8005\u7684\u603b\u6982\u7387 P(k)\uff1a $$P(k) = \\sum_{i=k+1}^n \\frac{1}{n}\\cdot\\frac{k}{i-1} = \\frac{k}{n}\\sum_{i=k+1}^n\\cdot\\frac{1}{i-1}$$ \u7528 x \u6765\u8868\u793a k\/n \u7684\u503c\uff0c\u5e76\u4e14\u5047\u8bbe n \u5145\u5206\u5927\uff0c\u5219\u4e0a\u8ff0\u516c\u5f0f\u53ef\u4ee5\u5199\u6210\uff1a $$P(k) = x\\int_x^1 \\frac{1}{t}dt = -xlnx$$ \u5bf9-xlnx\u6c42\u5bfc\uff0c\u5e76\u4ee4\u8fd9\u4e2a\u5bfc\u6570\u4e3a0\uff0c\u53ef\u4ee5\u89e3\u51fax\u7684\u6700\u4f18\u503c\uff0c\u5b83\u5c31\u662f\u6b27\u62c9\u7814\u7a76\u7684\u795e\u79d8\u5e38\u6570\u7684\u5012\u6570$e^{-1}$\uff0c\u5219\u6837\u672c$k=n \\cdot x= e^{-1}$\u3002\u5373\u5f53\u9884\u8ba1\u603b\u8ffd\u6c42\u8005\u4eba\u6570\u4e3a100\u7684\u65f6\u5019\uff0c\u5e94\u5148\u62d2\u7edd\u6389\u524d$100e^{-1} =37$\u4e2a\u4eba\uff0c\u7528\u6765\u505a\u8ffd\u6c42\u8005\u6837\u672c\u3002 ```{r} sIdo=N=numeric() for (i in 1:100){ p=rnorm(100, 80, 20) pm=max(p[1:37]) for(i in seq(37,100)){ if(p[i]>pm){ Ido=p[i] n=i break} else Ido=0;n=101} sIdo=c(sIdo,Ido) N=c(N,n)} sum(N==101)\/100 #\u5269\u5973\u6bd4\u4f8b ``` ![](https:\/\/www.cppentry.com\/upload_files\/article\/91\/1_jfq1g__.png) ![](https:\/\/www.cppentry.com\/upload_files\/article\/91\/1_9i2nr__.png) \u56fe3\u3001\u56fe4\u4ee3\u8868\u6309\u7167\u6b64\u79cd\u9009\u62e9\u65b9\u6cd5\uff0c\u91cd\u590d100\u6b21\u5b9e\u9a8c\uff08100\u4e2a\u59b9\u5b50\uff09\u5f97\u5230\u7684\u8ffd\u6c42\u8005\u5206\u5e03\u72b6\u6001\uff0c\u901a\u8fc7\u6761\u5f62\u56fe\u53ef\u4ee5\u770b\u51fa\uff0c60%\u7684\u59b9\u5b50\u6210\u529f\u627e\u5230\u5982\u610f\u90ce\u541b\uff0c\u88ab\u63a5\u53d7\u7684\u8ffd\u6c42\u8005\u4f18\u79c0\u7a0b\u5ea6\u5728100\u4ee5\u4e0a\uff1b\u5176\u4f5940%\u7684\u59b9\u5b50\u4eec\uff0c\u7531\u4e8e\u5728\u7b2c\u4e00\u6279\u8ffd\u6c42\u8005\u5f53\u4e2d\u62d2\u7edd\u6389\u4e86\u6700\u4f18\u79c0\u7684\u90a3\u4f4d\uff0c\u65e0\u5948\u9009\u62e9\u505a\u5269\u5973\u3002 ```{r} plot(N,sIdo,pch=20,main="\u8ffd\u6c42\u8005\u6563\u70b9\u56fe", ylab="\u4f18\u79c0\u7a0b\u5ea6", xlab="\u63a5\u53d7\u65f6\u673a",col=rainbow(80),cex = 1.5) points(101,0,pch=20,col="#32CD32",cex = 2) text(95, 1, "\u5269\u5973101",cex = .8) ``` ![](https:\/\/www.cppentry.com\/upload_files\/article\/91\/1_vfaqc__.png) \u8ffd\u6c42\u8005\u6563\u70b9\u56fe\u53ef\u4ee5\u770b\u51fa\uff0c\u6bd4\u8f83\u4f18\u79c0\u7684\u8ffd\u6c42\u8005\u4e14\u88ab\u63a5\u53d7\u65f6\uff0c\u5176\u6392\u4f4d\u5728100\u4f4d\u5f53\u4e2d\u768450\u4f4d\u5de6\u53f3\u7684\u6982\u7387\u6700\u5927\uff0c\u5373\u8ffd\u59b9\u5b50\u7684\u6700\u597d\u65f6\u673a\u4e0d\u662f\u8d8a\u65e9\u8d8a\u597d\u3002 ### \u7efc\u4e0a\u6240\u8bc9\uff0c\u53ef\u4ee5\u5f97\u51fa\u5982\u4e0b\u7ed3\u8bba\uff1a - \u6837\u672c\u4eba\u6570\u6700\u4f18\u503c\u4e3a\u6837\u672c\u603b\u91cf\u768437%\uff1b - \u6bd4\u8f83\u4f18\u79c0\u7684\u8ffd\u6c42\u8005\u6210\u529f\u8ffd\u5230\u59b9\u5b50\u7684\u6982\u7387\u572860%\u5de6\u53f3\uff1b - \u4f18\u79c0\u8005\u7684\u6700\u4f73\u51fa\u73b0\u65f6\u673a\u4e3a\u4e2d\u95f4\u504f\u540e\u4f4d\u7f6e\u3002 ### \u53cd\u9988\u4e0e\u5efa\u8bae - \u4f5c\u8005\uff1a[ShangFR](http:\/\/www.cnblogs.com\/shangfr\/) - \u90ae\u7bb1\uff1a\n <\/shangfr@foxmail.com>\n<\/div>","orderid":"0","title":"R\u8bed\u8a00-\u59b9\u5b50\u88ab\u8ffd\u540e\u7684\u9009\u62e9\u5206\u6790","smalltitle":"","mid":"0","fname":"R\u8bed\u8a00","special_id":"0","bak_id":"0","info":"0","hits":"4255","pages":"1","comments":"0","posttime":"2017-10-10 12:10:40","list":"1507608640","username":"admin","author":"","copyfrom":"","copyfromurl":"","titlecolor":"","fonttype":"0","titleicon":"0","picurl":"https:\/\/www.cppentry.com\/upload_files\/article\/91\/1_4a10f__.png","ispic":"1","yz":"1","yzer":"","yztime":"0","levels":"0","levelstime":"0","keywords":"\u8bed\u8a00<\/A> \u59b9\u5b50<\/A> \u540e\u7684<\/A> \u9009\u62e9<\/A> \u5206\u6790<\/A>","jumpurl":"","iframeurl":"","style":"","template":"a:3:{s:4:\"head\";s:0:\"\";s:4:\"foot\";s:0:\"\";s:8:\"bencandy\";s:0:\"\";}","target":"0","ip":"113.108.110.181","lastfid":"0","money":"0","buyuser":"","passwd":"","allowdown":"","allowview":"","editer":"","edittime":"0","begintime":"0","endtime":"0","description":"R\u8bed\u8a00-\u59b9\u5b50\u88ab\u8ffd\u540e\u7684\u9009\u62e9\u5206\u6790","lastview":"1713463334","digg_num":"1345","digg_time":"0","forbidcomment":"0","ifvote":"0","heart":"","htmlname":"","city_id":"0"},"page":"1"}