Circular success and failure runs in a sequence of exchangeable binary trials

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dc.contributor.authorAtalay, Sevcan Demir
dc.contributor.authorZeybek, Melis
dc.date.accessioned2019-10-27T21:41:43Z
dc.date.available2019-10-27T21:41:43Z
dc.date.issued2013
dc.departmentEge Üniversitesien_US
dc.description.abstractLet X-1, ... , X-n be an exchangeable sequence of binary trials arranged on a circle with possible values "1" (success) or "0" (failure). In an exchangeable sequence, the joint distribution of X-1,X-2, ... ,X-n is invariant under the permutation of its arguments. For the circular sequence, general expressions for the joint distributions of run statistics based on the joint distribution of success and failure run lengths are obtained. As a special case, we present our results for Bernoulli trials. The results presented consist of combinatorial terms and therefore provide easier calculations. For illustration purposes, some numerical examples are given and the reliability of the circular combined k-out-of-n:G and consecutive k(c)-out-of-n:G system under stress-strength setup is evaluated. (C) 2012 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.jspi.2012.07.016
dc.identifier.endpage629en_US
dc.identifier.issn0378-3758
dc.identifier.issn0378-3758en_US
dc.identifier.issue3en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage621en_US
dc.identifier.urihttps://doi.org/10.1016/j.jspi.2012.07.016
dc.identifier.urihttps://hdl.handle.net/11454/46731
dc.identifier.volume143en_US
dc.identifier.wosWOS:000312173600015en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofJournal of Statistical Planning and Inferenceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCircular sequenceen_US
dc.subjectExchangeable trialsen_US
dc.subjectRun statisticsen_US
dc.subjectCombined G systemen_US
dc.titleCircular success and failure runs in a sequence of exchangeable binary trialsen_US
dc.typeArticleen_US

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