{"title":"指数泊松-指数分布:浴缸故障率的增加、减少和分布","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":"{\"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}","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}
The Exponentiated Poisson-Exponential Distribution: A Distribution with Increasing, Decreasing and Bathtub Failure Rate
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.