Optimal experimental plan for multi-level stress testing with Weibull regression under progressive Type-II extremal censoring

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dc.contributor.authorNg, Hon Keung Tony
dc.contributor.authorKinaci, Ismail
dc.contributor.authorKus, Coskun
dc.contributor.authorChan, Ping Shing
dc.date.accessioned2020-03-26T19:42:13Z
dc.date.available2020-03-26T19:42:13Z
dc.date.issued2017
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn the design of constant-stress life-testing experiments, the optimal allocation in a multi-level stress test with Type-I or Type-II censoring based on the Weibull regression model has been studied in the literature. Conventional Type-I and Type-II censoring schemes restrict our ability to observe extreme failures in the experiment and these extreme failures are important in the estimation of upper quantiles and understanding of the tail behaviors of the lifetime distribution. For this reason, we propose the use of progressive extremal censoring at each stress level, whereas the conventional Type-II censoring is a special case. The proposed experimental scheme allows some extreme failures to be observed. The maximum likelihood estimators of the model parameters, the Fisher information, and asymptotic variance-covariance matrices of the maximum likelihood estimates are derived. We consider the optimal experimental planning problem by looking at four different optimality criteria. To avoid the computational burden in searching for the optimal allocation, a simple search procedure is suggested. Optimal allocation of units for two- and four-stress-level situations is determined numerically. The asymptotic Fisher information matrix and the asymptotic optimal allocation problem are also studied and the results are compared with optimal allocations with specified sample sizes. Finally, conclusions and some practical recommendations are provided.en_US
dc.description.sponsorshipChinese University of Hong Kong Faculty of Science Direct GrantChinese University of Hong Kong [4053085]; Research Grants Council of Hong Kong General Research FundHong Kong Research Grants Council [14201015]; Simons Foundation [280601]en_US
dc.description.sponsorshipThe authors are grateful to the associate editor and two anonymous reviewers for their constructive comments which led to this substantial improvement on an earlier version of the article. This project was supported by The Chinese University of Hong Kong Faculty of Science Direct Grant (Project ID 4053085), The Research Grants Council of Hong Kong General Research Fund (Project No. 14201015) and a grant from the Simons Foundation (280601 to Tony Ng).en_US
dc.identifier.doi10.1080/03610918.2015.1054939en_US
dc.identifier.endpage2637en_US
dc.identifier.issn0361-0918en_US
dc.identifier.issn1532-4141en_US
dc.identifier.issue4en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage2611en_US
dc.identifier.urihttps://dx.doi.org/10.1080/03610918.2015.1054939
dc.identifier.urihttps://hdl.handle.net/20.500.12395/35347
dc.identifier.volume46en_US
dc.identifier.wosWOS:000400186200009en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTAYLOR & FRANCIS INCen_US
dc.relation.ispartofCOMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATIONen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectAccelerated life-testingen_US
dc.subjectExtreme value distributionen_US
dc.subjectLifetime dataen_US
dc.subjectMaximum likelihood estimatorsen_US
dc.subjectWeibull distributionen_US
dc.titleOptimal experimental plan for multi-level stress testing with Weibull regression under progressive Type-II extremal censoringen_US
dc.typeArticleen_US

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