Some Results Associated With the Longest Run Statistic in a Sequence of Markov Dependent Trials
| dc.contributor.author | Eryılmaz, Serkan | |
| dc.date.accessioned | 2023-06-16T12:58:51Z | |
| dc.date.available | 2023-06-16T12:58:51Z | |
| dc.date.issued | 2006 | |
| dc.description.abstract | We express the longest run statistic as the maximum of a sequence whose members are subject to a Markov chain condition. Via this setup some results for the exact expression and bounds for the distribution of the longest run in a sequence of Markov dependent trials are presented. Extension of the results to the second order Markov dependent trials are also provided. (c) 2005 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.amc.2005.07.015 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.scopus | 2-s2.0-33644889952 | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2005.07.015 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1043 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Inc | en_US |
| dc.relation.ispartof | Applıed Mathematıcs And Computatıon | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Bernoulli trials | en_US |
| dc.subject | longest run | en_US |
| dc.subject | Markov chain | en_US |
| dc.subject | order statistic | en_US |
| dc.subject | N-F-Systems | en_US |
| dc.subject | Of-N | en_US |
| dc.subject | Success Runs | en_US |
| dc.subject | Reliability | en_US |
| dc.subject | Chain | en_US |
| dc.title | Some Results Associated With the Longest Run Statistic in a Sequence of Markov Dependent Trials | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Eryılmaz, Serkan/0000-0002-2108-1781 | |
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| gdc.author.wosid | Eryılmaz, Serkan/AAF-9349-2019 | |
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| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey | en_US |
| gdc.description.endpage | 130 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 119 | en_US |
| gdc.description.volume | 175 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W1971708862 | |
| gdc.identifier.wos | WOS:000241776800011 | |
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| gdc.oaire.keywords | Order statistic | |
| gdc.oaire.keywords | Bernoulli trials | |
| gdc.oaire.keywords | Longest run | |
| gdc.oaire.keywords | Markov chain | |
| gdc.oaire.keywords | Inequalities; stochastic orderings | |
| gdc.oaire.keywords | Order statistics; empirical distribution functions | |
| gdc.oaire.keywords | Exact distribution theory in statistics | |
| gdc.oaire.keywords | Markov chains (discrete-time Markov processes on discrete state spaces) | |
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| gdc.oaire.sciencefields | 0211 other engineering and technologies | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.opencitations.count | 12 | |
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| gdc.virtual.author | Eryilmaz, Serkan | |
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