{"title":"对区间的随机划分的模拟","authors":"C. O'Connor, A. Hook, Adel Said Elmaghraby","doi":"10.1145/62179.62181","DOIUrl":null,"url":null,"abstract":"This article describes the simulation results for the following random experiment. Fix a value for the parameter p, O<p<1. Let X<inf>1</inf> be a uniform random variable on the interval [L<inf>1</inf>, U<inf>1</inf>]=[0,1]. For n>2, define the random variables X<inf>n</inf> and the random intervals [L<inf>n</inf>, U<inf>n</inf>] by:[EQUATION]If X<inf>n-1</inf> < (L<inf>n-1</inf>+U<inf>n-1</inf>)/2, the intervals are constructed as above with the probabilities reversed.","PeriodicalId":138785,"journal":{"name":"ACM Sigsim Simulation Digest","volume":"91 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Simulations of random divisions of an interval\",\"authors\":\"C. O'Connor, A. Hook, Adel Said Elmaghraby\",\"doi\":\"10.1145/62179.62181\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article describes the simulation results for the following random experiment. Fix a value for the parameter p, O<p<1. Let X<inf>1</inf> be a uniform random variable on the interval [L<inf>1</inf>, U<inf>1</inf>]=[0,1]. For n>2, define the random variables X<inf>n</inf> and the random intervals [L<inf>n</inf>, U<inf>n</inf>] by:[EQUATION]If X<inf>n-1</inf> < (L<inf>n-1</inf>+U<inf>n-1</inf>)/2, the intervals are constructed as above with the probabilities reversed.\",\"PeriodicalId\":138785,\"journal\":{\"name\":\"ACM Sigsim Simulation Digest\",\"volume\":\"91 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACM Sigsim Simulation Digest\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/62179.62181\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Sigsim Simulation Digest","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/62179.62181","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This article describes the simulation results for the following random experiment. Fix a value for the parameter p, O
1 be a uniform random variable on the interval [L1, U1]=[0,1]. For n>2, define the random variables Xn and the random intervals [Ln, Un] by:[EQUATION]If Xn-1 < (Ln-1+Un-1)/2, the intervals are constructed as above with the probabilities reversed.