{"title":"Reliability Estimation for poisson-exponential model under Progressive type-II censoring data with binomial removal data","authors":"Manoj Kumar, S. Singh, U. Singh","doi":"10.6092/ISSN.1973-2201/5457","DOIUrl":null,"url":null,"abstract":"In this paper, a poissoin-exponential distribution(PED) is considered as a lifetime model. Its statistical characteristics and important distributional properties are discussed by Louzada-Neto et al.[13]. The method of Maximum likelihood estimation and least square estimation of parameters involved along with reliability and failure rate functions is also studied here. In view of cost and time constraints, Progressive type-II censored data with binomial removals (PT-II CBRs) have been used. Finally, a real data example is given to show the practical applications of the paper.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"76 1","pages":"3-26"},"PeriodicalIF":1.6000,"publicationDate":"2016-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6092/ISSN.1973-2201/5457","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, a poissoin-exponential distribution(PED) is considered as a lifetime model. Its statistical characteristics and important distributional properties are discussed by Louzada-Neto et al.[13]. The method of Maximum likelihood estimation and least square estimation of parameters involved along with reliability and failure rate functions is also studied here. In view of cost and time constraints, Progressive type-II censored data with binomial removals (PT-II CBRs) have been used. Finally, a real data example is given to show the practical applications of the paper.