{"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}
引用次数: 1
Abstract
This article describes the simulation results for the following random experiment. Fix a value for the parameter p, O1 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.
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