β变换随机变量的一些可靠性和其他性质

Q3 Mathematics

Stochastics and Quality Control Pub Date : 2018-12-01 DOI:10.1515/eqc-2018-0017

M. Sreehari, E. Sandhya, V. K. Mohamed Akbar

{"title":"β变换随机变量的一些可靠性和其他性质","authors":"M. Sreehari, E. Sandhya, V. K. Mohamed Akbar","doi":"10.1515/eqc-2018-0017","DOIUrl":null,"url":null,"abstract":"Abstract The reliability properties of beta-transformed random variables are discussed. A necessary and sufficient condition for a beta-transformed geometric random variable to follow a power series distribution is derived. It is shown that a beta-transformed member of the Katz family does not belong to the Katz family unless it is a geometric distribution, thereby getting a characterization.","PeriodicalId":37499,"journal":{"name":"Stochastics and Quality Control","volume":"125 1","pages":"83 - 92"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some Reliability and Other Properties of Beta-Transformed Random Variables\",\"authors\":\"M. Sreehari, E. Sandhya, V. K. Mohamed Akbar\",\"doi\":\"10.1515/eqc-2018-0017\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The reliability properties of beta-transformed random variables are discussed. A necessary and sufficient condition for a beta-transformed geometric random variable to follow a power series distribution is derived. It is shown that a beta-transformed member of the Katz family does not belong to the Katz family unless it is a geometric distribution, thereby getting a characterization.\",\"PeriodicalId\":37499,\"journal\":{\"name\":\"Stochastics and Quality Control\",\"volume\":\"125 1\",\"pages\":\"83 - 92\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Stochastics and Quality Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/eqc-2018-0017\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Stochastics and Quality Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/eqc-2018-0017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

讨论了β变换随机变量的可靠性特性。导出了β变换几何随机变量服从幂级数分布的充分必要条件。证明了一个β变换的Katz族成员不属于Katz族，除非它是一个几何分布，从而得到一个表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Some Reliability and Other Properties of Beta-Transformed Random Variables

Abstract The reliability properties of beta-transformed random variables are discussed. A necessary and sufficient condition for a beta-transformed geometric random variable to follow a power series distribution is derived. It is shown that a beta-transformed member of the Katz family does not belong to the Katz family unless it is a geometric distribution, thereby getting a characterization.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Stochastics and Quality Control Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.10

自引率

0.00%

发文量