On the mean and extreme distances between failures in Markovian binary sequences

dc.authoridYalcin, Femin/0000-0003-0602-9392
dc.authoridEryilmaz, Serkan/0000-0002-2108-1781
dc.authorscopusid8203625300
dc.authorscopusid37050274700
dc.authorwosidEryilmaz, Serkan/AAF-9349-2019
dc.authorwosidYalcin, Femin/N-9138-2015
dc.contributor.authorEryilmaz, Serkan
dc.contributor.authorEryılmaz, Serkan
dc.contributor.authorYalcin, Femin
dc.contributor.otherIndustrial Engineering
dc.date.accessioned2024-07-05T15:10:34Z
dc.date.available2024-07-05T15:10:34Z
dc.date.issued2011
dc.departmentAtılım Universityen_US
dc.department-temp[Eryilmaz, Serkan] Atilim Univ, Dept Ind Engn, TR-06836 Ankara, Turkey; [Yalcin, Femin] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkeyen_US
dc.descriptionYalcin, Femin/0000-0003-0602-9392; Eryilmaz, Serkan/0000-0002-2108-1781en_US
dc.description.abstractThis paper is concerned with the mean, minimum and maximum distances between two successive failures in a binary sequence consisting of Markov dependent elements. These random variables are potentially useful for the analysis of the frequency of critical events occurring in certain stochastic processes. Exact distributions of these random variables are derived via combinatorial techniques and illustrative numerical results are presented. (C) 2011 Elsevier B.V. All rights reserved.en_US
dc.identifier.citation5
dc.identifier.doi10.1016/j.cam.2011.09.013
dc.identifier.endpage1510en_US
dc.identifier.issn0377-0427
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-80955130703
dc.identifier.startpage1502en_US
dc.identifier.urihttps://doi.org/10.1016/j.cam.2011.09.013
dc.identifier.urihttps://hdl.handle.net/20.500.14411/1337
dc.identifier.volume236en_US
dc.identifier.wosWOS:000298271800037
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBinary sequenceen_US
dc.subjectExact distributionen_US
dc.subjectExtremesen_US
dc.subjectMarkov chainen_US
dc.subjectSystem reliabilityen_US
dc.titleOn the mean and extreme distances between failures in Markovian binary sequencesen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublication37862217-5541-47e3-9406-e21aa38e7fdf
relation.isAuthorOfPublication.latestForDiscovery37862217-5541-47e3-9406-e21aa38e7fdf
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relation.isOrgUnitOfPublication.latestForDiscovery12c9377e-b7fe-4600-8326-f3613a05653d

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