A comparison of different methods of estimation for the flexible Weibull distribution

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dc.contributor.authorAli, Sajid
dc.contributor.authorDey, Sanku
dc.contributor.authorTahir, M. H.
dc.contributor.authorMansoor, Muhammad
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-12T07:21:38Z
dc.date.available2021-11-12T07:21:38Z
dc.date.issued2020-06-30
dc.description.abstractThis article presents different parameter estimation methods for flexible Weibull distribution introduced by Bebbington et al. (Reliability Engineering and System Safety 92:719-726, 2007), which is a modified version of the Weibull distribution and is suitable to model different shapes of the hazard rate. We consider both frequentist and Bayesian estimation methods and present a comprehensive comparison of them. For frequentist estimation, we consider the maximum likelihood estimators, least squares estimators, weighted least squares estimators, percentile estimators, the maximum product spacing estimators, the minimum spacing absolute distance estimators, the minimum spacing absolute log-distance estimators, Cramér von Mises estimators, Anderson Darling estimators, and right tailed Anderson Darling estimators, and compare them using a comprehensive simulation study. We also consider Bayesian estimation by assuming gamma priors for both shape and scale parameters. We use a Markov Chain Monte Carlo algorithm to compute the posterior summaries. A real data example is also a part of this work.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage814tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage794tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.597680tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76032
dc.identifier.volume69tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.597680tr_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.subjectWeibull distributiontr_TR
dc.subjectMaximum likelihood estimatorstr_TR
dc.subjectLeast square estimatorstr_TR
dc.titleA comparison of different methods of estimation for the flexible Weibull distributiontr_TR
dc.typeArticletr_TR

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