Type-II Censoring, and Weibull Distributed Lifetimes

dc.contributor.authorKateri, M.en
dc.contributor.authorBalakrishnan, N.en
dc.date.accessioned2015-11-24T17:24:44Z
dc.date.available2015-11-24T17:24:44Z
dc.identifier.issn0018-9529-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12945
dc.rightsDefault Licence-
dc.subjectBootstrap, cumulative exposure model, Fisheren
dc.subjectinformation matrix, maximum likelihood estimation, type-IIen
dc.subjectcensoring.en
dc.titleType-II Censoring, and Weibull Distributed Lifetimesen
heal.abstractThe simple step-stress model under Type-II censoring based on Weibull lifetimes, which provides a more flexible model than the exponential model, is considered in this paper. For this model, the maximum likelihood estimates (MLE) of its parameters, as well as the corresponding observed Fisher Information Matrix, are derived. The likelihood equations do not lead to closedform expressions for the MLE, and they need to be solved by using an iterative procedure, such as the Newton-Raphson method. We also present a simplified estimator, which is easier to compute, and hence is suitable to use as an initial estimate in the iterative process for the determination of the MLE. We then evaluate the bias, and mean square error of these estimates; and provide asymptotic, and bootstrap confidence intervals for the parameters of the Weibull simple step-stress model. Finally, the results are illustrated with some examples.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primary10.1109/TR.2008.2006292-
heal.journalNameIEEE TRANSACTIONS ON RELIABILITY,en
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2008-
heal.publisherIEEExploreen
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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