Confidence interval estimation of Weibull lower percentiles in small samples via Bayesian inference

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dc.contributor.authorYalcinkaya, Meryem
dc.contributor.authorBirgoren, Burak
dc.date.accessioned2020-06-25T18:22:55Z
dc.date.available2020-06-25T18:22:55Z
dc.date.issued2017
dc.departmentKırıkkale Üniversitesi
dc.descriptionBirgoren, Burak/0000-0001-9045-6092
dc.description.abstractWeibull distribution has been vastly used for modeling fracture strength of ceramic and composite materials. Confidence interval estimation of Weibull parameters and percentiles in small samples has been an important concern due to high experimental costs. It was shown previously that in classical inference the Maximum Likelihood Estimation Method is the best method among several alternatives for estimating 95% one-sided confidence lower bounds on the 1st and 10th Weibull percentiles, namely A-basis and B-basis material properties. This study proposes the Bayesian Weibull Method as an alternative using the information that ceramic and composite materials have increasing failure rates, which requires the Weibull shape parameter to be at least 1. Through Monte Carlo simulations, it is shown that the performance of the Bayesian Weibull Method is superior in that it achieves the precision levels of the Maximum Likelihood Estimation Method with significantly smaller sample sizes. (C) 2017 Elsevier Ltd. All rights reserved.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1016/j.jeurceramsoc.2017.02.050
dc.identifier.endpage2990en_US
dc.identifier.issn0955-2219
dc.identifier.issn1873-619X
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85014122582
dc.identifier.scopusqualityQ1
dc.identifier.startpage2983en_US
dc.identifier.urihttps://doi.org/10.1016/j.jeurceramsoc.2017.02.050
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6955
dc.identifier.volume37en_US
dc.identifier.wosWOS:000400531500024
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Sci Ltden_US
dc.relation.ispartofJournal Of The European Ceramic Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectWeibullen_US
dc.subjectBayesian Methoden_US
dc.subjectA-Basisen_US
dc.subjectB-Basisen_US
dc.subjectFracture strengthen_US
dc.titleConfidence interval estimation of Weibull lower percentiles in small samples via Bayesian inferenceen_US
dc.typeArticle

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