Bayesian Confidence Interval Estimation of Weibull Modulus Under Increasing Failure Rate

Basit Öğe Kaydı
dc.authoridBirgoren, Burak/0000-0001-9045-6092
dc.contributor.authorYalcinkaya, Meryem
dc.contributor.authorBirgoren, Burak
dc.date.accessioned2025-01-21T16:33:16Z
dc.date.available2025-01-21T16:33:16Z
dc.date.issued2021
dc.departmentKırıkkale Üniversitesi
dc.description.abstractEstimating the confidence interval of the Weibull modulus is an important problem in the fracture strength modeling of ceramic and composite materials. It is particularly important in cases where the sample size is small due to high experimental costs. For this purpose, several classical methods, including the popular maximum likelihood method, and Bayesian methods have been developed in the literature. However, studies on Bayesian inference have remained very limited in the materials science literature. Recently a Bayesian Weibull model has been proposed for estimating confidence lower bounds for Weibull percentiles using the prior knowledge that the failure rates are increasing. This prior argument requires the Weibull modulus to be more than 1 due to wear-out failure. In this study, under the same prior information, two Bayesian Weibull models, one using the same prior argument and the other a relaxed version of it, have been developed for confidence interval estimation of the Weibull modulus. Their estimation performances have been compared against the maximum likelihood method with Monte Carlo simulations. The results show that the Bayesian Weibull models significantly outperform the maximum likelihood method for almost all Weibull modulus and sample size values.
dc.identifier.doi10.35378/gujs.736084
dc.identifier.endpage309
dc.identifier.issn2147-1762
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85102976125
dc.identifier.scopusqualityQ2
dc.identifier.startpage290
dc.identifier.trdizinid1137178
dc.identifier.urihttps://doi.org/10.35378/gujs.736084
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay1137178
dc.identifier.urihttps://hdl.handle.net/20.500.12587/23773
dc.identifier.volume34
dc.identifier.wosWOS:000623884100020
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherGazi Univ
dc.relation.ispartofGazi University Journal of Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectWeibull modulus; Bayesian; Interval estimation; Increasing failure; Rate
dc.titleBayesian Confidence Interval Estimation of Weibull Modulus Under Increasing Failure Rate
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
TR-Dizin İndeksli Yayınlar Koleksiyonu