{"title":"The Exponentiated Poisson-Exponential Distribution: A Distribution with Increasing, Decreasing and Bathtub Failure Rate","authors":"F. Louzada, V. Cancho, P. Ferreira","doi":"10.2991/jsta.d.200512.002","DOIUrl":null,"url":null,"abstract":"In this paper we propose a new three-parameters lifetime distribution with increasing, decreasing and bathtub failure rate dependingonitsparameters.Theproperties oftheproposed distributionarediscussed,includingexplicitalgebraicformulaefor its reliability and failure rate functions, quantiles and moments. A simulation study is performed in order to verify the behavior of the maximum likelihood estimates. The methodology is illustrated on a real data set.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"47 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Statistical Theory and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2991/jsta.d.200512.002","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: 4
Abstract
In this paper we propose a new three-parameters lifetime distribution with increasing, decreasing and bathtub failure rate dependingonitsparameters.Theproperties oftheproposed distributionarediscussed,includingexplicitalgebraicformulaefor its reliability and failure rate functions, quantiles and moments. A simulation study is performed in order to verify the behavior of the maximum likelihood estimates. The methodology is illustrated on a real data set.
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