A study on comparisons of Bayesian and classical parameter estimation methods for the two-parameter Weibull distribution

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dc.contributor.authorYılmaz, Asuman
dc.contributor.authorKara, Mahmut
dc.contributor.authorAydoğdu, Halil
dc.contributor.departmentİstatistiktr_TR
dc.contributor.facultyFen Fakültesitr_TR
dc.date.accessioned2021-11-11T10:50:08Z
dc.date.available2021-11-11T10:50:08Z
dc.date.issued2020-06-30
dc.description.abstractThe main objective of this paper is to determine the best estimators of the shape and scale parameters of the two parameter Weibull distribution. Therefore, both classical and Bayesian approximation methods are considered. For parameter estimation of classical approximation methods maximum likelihood estimators (MLEs), modified maximum likelihood estimators-I (MMLEs-I), modified maximum likelihood estimators -II (MMLEs-II), least square estimators (LSEs), weighted least square estimators (WLSEs), percentile estimators (PEs), moment estimators (MEs), L-moment estimators (LMEs) and TL- moment estimators (TLMEs) are used. Since the Bayesian estimators don't have the explicit form. There are Bayes estimators are obtained by using Lindley's and Tierney Kadane's approximation methods in this study. In Bayesian approximation, the choice of loss function and prior distribution is very important. Hence, Bayes estimators are given based on both the non- informative and informative prior distribution. Moreover, these estimators have been calculated under different symmetric and asymmetric loss functions. The performance of classical and Bayesian estimators are compared with respect to their biases and MSEs through a simulation study. Finally, a real data set taken from Turkish State Meteorological Service is analysed for better understanding of methods presented in this paper.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage602tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage576tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.606890tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76013
dc.identifier.volume69tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.606890tr_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.subjectBayes approximationtr_TR
dc.subjectParameter estimationtr_TR
dc.subjectNew estimatortr_TR
dc.titleA study on comparisons of Bayesian and classical parameter estimation methods for the two-parameter Weibull distributiontr_TR
dc.typeArticletr_TR

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