On the Mean and Extreme Distances Between Failures in Markovian Binary Sequences

dc.authorid Yalcin, Femin/0000-0003-0602-9392
dc.authorid Eryilmaz, Serkan/0000-0002-2108-1781
dc.authorscopusid 8203625300
dc.authorscopusid 37050274700
dc.authorwosid Eryilmaz, Serkan/AAF-9349-2019
dc.authorwosid Yalcin, Femin/N-9138-2015
dc.contributor.author Eryilmaz, Serkan
dc.contributor.author Yalcin, Femin
dc.contributor.other Industrial Engineering
dc.date.accessioned 2024-07-05T15:10:34Z
dc.date.available 2024-07-05T15:10:34Z
dc.date.issued 2011
dc.department Atılım University en_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, Turkey en_US
dc.description Yalcin, Femin/0000-0003-0602-9392; Eryilmaz, Serkan/0000-0002-2108-1781 en_US
dc.description.abstract This 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.citationcount 5
dc.identifier.doi 10.1016/j.cam.2011.09.013
dc.identifier.endpage 1510 en_US
dc.identifier.issn 0377-0427
dc.identifier.issue 6 en_US
dc.identifier.scopus 2-s2.0-80955130703
dc.identifier.startpage 1502 en_US
dc.identifier.uri https://doi.org/10.1016/j.cam.2011.09.013
dc.identifier.uri https://hdl.handle.net/20.500.14411/1337
dc.identifier.volume 236 en_US
dc.identifier.wos WOS:000298271800037
dc.identifier.wosquality Q1
dc.institutionauthor Eryılmaz, Serkan
dc.language.iso en en_US
dc.publisher Elsevier Science Bv en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 6
dc.subject Binary sequence en_US
dc.subject Exact distribution en_US
dc.subject Extremes en_US
dc.subject Markov chain en_US
dc.subject System reliability en_US
dc.title On the Mean and Extreme Distances Between Failures in Markovian Binary Sequences en_US
dc.type Article en_US
dc.wos.citedbyCount 5
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery 37862217-5541-47e3-9406-e21aa38e7fdf
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relation.isOrgUnitOfPublication.latestForDiscovery 12c9377e-b7fe-4600-8326-f3613a05653d

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