{"title":"Behavior of OC Curve of Generalized Exponentiated Data","authors":"Anwar Hassan, Mehraj Ahmad","doi":"10.2991/jsta.d.200714.001","DOIUrl":null,"url":null,"abstract":"In this paper a generalized exponential distribution is considered for analyzing left-censored lifetime data as such mecha-nisms are applicable when the observations become available in an ordered manner with some cases where the origin and the event both occur prior to the start of follow-up. In the present study a test procedure is developed which will approxi-mate a prescribed operating characteristics curve. We also done testing of hypothesis and tried to find values of r and C subject to the operating characteristics curve be such that L . α 1 / = Pr ( accept α = α 1 when α 1 isthetruevalue ) = 1 − γ and L . α 2 / = Pr ( accept α = α 1 when α 2 isthetruevalue ) ≤ β . By simulation technique it has been shown that a suitable value of r is to be used for different values of γ and β . The by Atlantis B.V. This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Statistical Theory and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2991/jsta.d.200714.001","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
Abstract
In this paper a generalized exponential distribution is considered for analyzing left-censored lifetime data as such mecha-nisms are applicable when the observations become available in an ordered manner with some cases where the origin and the event both occur prior to the start of follow-up. In the present study a test procedure is developed which will approxi-mate a prescribed operating characteristics curve. We also done testing of hypothesis and tried to find values of r and C subject to the operating characteristics curve be such that L . α 1 / = Pr ( accept α = α 1 when α 1 isthetruevalue ) = 1 − γ and L . α 2 / = Pr ( accept α = α 1 when α 2 isthetruevalue ) ≤ β . By simulation technique it has been shown that a suitable value of r is to be used for different values of γ and β . The by Atlantis B.V. This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).