{"title":"Uniform Distribution as the Limiting Form of a Density Function","authors":"Hasan Al-Halees","doi":"10.5539/ijsp.v12n3p18","DOIUrl":null,"url":null,"abstract":"The uniform distribution, denoted by U(x;A,B)=1/(B-A) if 0<A<x<B<∞ and zero otherwise, is the simplest probability density functions of a continuous random variable X. For a continuous random variable X on the interval (0, 1), a three parameters density function, denoted by h(x;A,B,n), is constructed so that its limiting form is the uniform density function U(x;A,B) in which n→∞. ","PeriodicalId":89781,"journal":{"name":"International journal of statistics and probability","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of statistics and probability","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5539/ijsp.v12n3p18","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The uniform distribution, denoted by U(x;A,B)=1/(B-A) if 0