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
gdc.author.scopusid 8203625300
gdc.author.wosid Eryılmaz, Serkan/AAF-9349-2019
gdc.bip.impulseclass C5
gdc.bip.influenceclass C4
gdc.bip.popularityclass C5
gdc.coar.access metadata only access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
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
gdc.index.type WoS
gdc.index.type Scopus
gdc.oaire.diamondjournal false
gdc.oaire.impulse 4.0
gdc.oaire.influence 3.599639E-9
gdc.oaire.isgreen false
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)
gdc.oaire.popularity 1.6218797E-9
gdc.oaire.publicfunded false
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
gdc.openalex.collaboration National
gdc.openalex.fwci 1.3716
gdc.openalex.normalizedpercentile 0.84
gdc.opencitations.count 12
gdc.plumx.crossrefcites 9
gdc.plumx.mendeley 8
gdc.plumx.scopuscites 16
gdc.scopus.citedcount 16
gdc.virtual.author Eryilmaz, Serkan
gdc.wos.citedcount 15
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