On the Mean and Extreme Distances Between Failures in Markovian Binary Sequences
| dc.contributor.author | Eryılmaz, Serkan | |
| dc.contributor.author | Yalcin, Femin | |
| dc.date.accessioned | 2023-06-16T12:58:59Z | |
| dc.date.available | 2023-06-16T12:58:59Z | |
| dc.date.issued | 2011 | |
| 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.doi | 10.1016/j.cam.2011.09.013 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.scopus | 2-s2.0-80955130703 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cam.2011.09.013 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1097 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.relation.ispartof | Journal of Computatıonal And Applıed Mathematıcs | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| 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.subject | Run Statistics | en_US |
| dc.subject | Success Runs | en_US |
| dc.subject | Trials | en_US |
| dc.subject | Length | en_US |
| dc.title | On the Mean and Extreme Distances Between Failures in Markovian Binary Sequences | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Yalcin, Femin/0000-0003-0602-9392 | |
| gdc.author.id | Eryılmaz, Serkan/0000-0002-2108-1781 | |
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| gdc.author.wosid | Yalcin, Femin/N-9138-2015 | |
| gdc.author.wosid | Eryılmaz, Serkan/AAF-9349-2019 | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Eryılmaz, Serkan] Atilim Univ, Dept Ind Engn, TR-06836 Ankara, Turkey; [Yalcin, Femin] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey | en_US |
| gdc.description.endpage | 1510 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 1502 | en_US |
| gdc.description.volume | 236 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2057730737 | |
| gdc.identifier.wos | WOS:000298271800037 | |
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| gdc.oaire.keywords | Computational Mathematics | |
| gdc.oaire.keywords | System reliability | |
| gdc.oaire.keywords | Binary sequence | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Extremes | |
| gdc.oaire.keywords | Markov chain | |
| gdc.oaire.keywords | Exact distribution | |
| gdc.oaire.keywords | Combinatorial probability | |
| gdc.oaire.keywords | extremes | |
| gdc.oaire.keywords | Markov chains (discrete-time Markov processes on discrete state spaces) | |
| gdc.oaire.keywords | system reliability | |
| gdc.oaire.keywords | Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) | |
| gdc.oaire.keywords | binary sequence | |
| gdc.oaire.keywords | Probability distributions: general theory | |
| gdc.oaire.keywords | exact distribution | |
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| gdc.virtual.author | Yalçin, Femin | |
| gdc.virtual.author | Eryilmaz, Serkan | |
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