{"title":"On the distribution of a random variable involved in an independent ratio","authors":"Roberto Vila, Narayanaswamy Balakrishnan, Marcelo Bourguignon","doi":"10.1080/03610926.2024.2340608","DOIUrl":null,"url":null,"abstract":"In this article, using inverse integral transforms, we derive the exact distribution of the random variable X that is involved in the ratio Z=dX/(X+Y) where X and Y are independent random variables...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Statistics - Theory and Methods","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/03610926.2024.2340608","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, using inverse integral transforms, we derive the exact distribution of the random variable X that is involved in the ratio Z=dX/(X+Y) where X and Y are independent random variables...
期刊介绍:
The Theory and Methods series intends to publish papers that make theoretical and methodological advances in Probability and Statistics. New applications of statistical and probabilistic methods will also be considered for publication. In addition, special issues dedicated to a specific topic of current interest will also be published in this series periodically, providing an exhaustive and up-to-date review of that topic to the readership.