{"title":"作为密度函数极限形式的均匀分布","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":"{\"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}","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}