Order Restricted Inference for Exponential Step-Stress Models

dc.contributor.authorKateri, M.en
dc.contributor.authorBalakrishnan, N.en
dc.contributor.authorBeutner, E.en
dc.date.accessioned2015-11-24T17:27:08Z
dc.date.available2015-11-24T17:27:08Z
dc.identifier.issn0018-9529-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13315
dc.rightsDefault Licence-
dc.subjectCumulative exposure model, hypothesis testsen
dc.subjectunder order restrictions, isotonic regression, multiple step-stressen
dc.subjectmodels, order restricted maximum likelihood estimation, Type-Ien
dc.subjectand Type-II censored sampling.en
dc.titleOrder Restricted Inference for Exponential Step-Stress Modelsen
heal.abstractIn the context of multiple step-stress models, which is a special type of accelerated life-testing model, interest lies on the expected lifetimes of the experimental units under different stress levels. Although the expected lifetime is shortened as the stress level increases, this information has not been incorporated so far into the associated inferential procedures. For this reason, we develop here the order restricted maximum likelihood estimation (MLE) for multiple step-stress models with exponentially distributed lifetimes under Type-I, and Type-II censored sampling situations. Moreover, the existence of the unrestricted MLE for a certain stress level is conditional on observing failures at that particular stress level. Under the order restriction, MLE exist even for stress levels without observed failures, provided that these stress levels are internal. We also discuss hypothesis testing problems under order restrictions.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.journalNameIEEE TRANSACTIONS ON RELIABILITY,en
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2009-
heal.publisherIEEExploreen
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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