Step-stress life-testing under tampered random variable modeling for Weibull distribution in presence of competing risk data

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dc.authoridCETINKAYA, Cagatay/0000-0001-8010-4261
dc.authoridKundu, Debasis/0000-0002-9141-422X
dc.contributor.authorSultana, Farha
dc.contributor.authorCetinkaya, Cagatay
dc.contributor.authorKundu, Debasis
dc.date.accessioned2025-01-21T16:44:34Z
dc.date.available2025-01-21T16:44:34Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we have considered the classical and Bayesian inference of the unknown parameters of the lifetime distribution based on the observations obtained from a simple step-stress life-testing (SSLT) experiment and when more than one cause of failures are observed. We have used the Tampered Random Variable (TRV) approach. The main advantage of the TRV approach is that it can be easily extended to a multiple step-stress model as well as for different lifetime distributions. In this paper, it is assumed that the lifetime of the experimental units at each stress level follows Weibull distribution with the same shape parameter and different scale parameters. Further, we have introduced different tempering co-efficient for different causes of failures. The maximum likelihood estimators and the associated asymptotic confidence intervals are obtained based on Type-II censored observations. Further, we have considered the Bayesian inference of the unknown model parameters based on a fairly general class prior distributions. An extensive simulation study is performed to examine the performances of the proposed method, and the analysis of a real data set has been provided to show how the method can be used in practice. We have compared the TRV model with some of the other existing models, and the TRV model provides a better fit in terms of information theoretic criteria. We have also provided some optimality criteria, to determine the optimal stress change time and some sensitivity analyses have been performed. Most of the methods can be extended for other lifetime distributions also.
dc.identifier.doi10.1002/qre.3474
dc.identifier.endpage1402
dc.identifier.issn0748-8017
dc.identifier.issn1099-1638
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85177883414
dc.identifier.scopusqualityQ2
dc.identifier.startpage1382
dc.identifier.urihttps://doi.org/10.1002/qre.3474
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25486
dc.identifier.volume40
dc.identifier.wosWOS:001108812300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofQuality and Reliability Engineering International
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectbaseline lifetime; Bayesian analysis; competing risk; maximum likelihood estimation; tampered random variable modeling; tampering coefficients
dc.titleStep-stress life-testing under tampered random variable modeling for Weibull distribution in presence of competing risk data
dc.typeArticle

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