A new family of lifetime distributions in terms of cumulative hazard rate function

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dc.contributor.authorKharazmi, Omid
dc.contributor.authorJahangard, Shahla
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-09T12:04:26Z
dc.date.available2021-11-09T12:04:26Z
dc.date.issued2020-06-30
dc.description.abstractIn the present paper, a new family of lifetime distributions is introduced according to cumulative hazard rate function, the well-known concept in survival analysis and reliability engineering. Some important properties of proposed model including survival function, quantile function, hazard function, order statistic and some results of stochastic ordering are obtained in general setting. An especial case of this new family is introduced by considering Weibull distribution as the parent distribution; in addition estimating unknown parameters of specialized model will be examined from the perspective of Bayesian and classic statistics. Moreover, three examples of real data sets: complete, right-censored and progressively type-I interval-censored data are studied; point and interval estimations of all parameters are obtained. Finally, the superiority of proposed model in terms of parent Weibull distribution over other fundamental statistical distributions is shown via complete real observations.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage22tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage1tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.439069tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75967
dc.identifier.volume69tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.439069tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectCumulative hazard rate functiontr_TR
dc.subjectBayesian estimationtr_TR
dc.subjectMaximum likelihood estimationtr_TR
dc.titleA new family of lifetime distributions in terms of cumulative hazard rate functiontr_TR
dc.typeArticletr_TR

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