Computing Waiting Time Probabilities Related To (<i>k</I><sub>1< <i>k</I><sub>2< ..., <i>k<sub>l</Sub>< Pattern

dc.authorscopusid 6602310120
dc.authorscopusid 8203625300
dc.contributor.author Chadjiconstantinidis, Stathis
dc.contributor.author Eryilmaz, Serkan
dc.contributor.other Industrial Engineering
dc.date.accessioned 2024-07-05T15:24:26Z
dc.date.available 2024-07-05T15:24:26Z
dc.date.issued 2023
dc.department Atılım University en_US
dc.department-temp [Chadjiconstantinidis, Stathis] Univ Piraeus, Dept Stat & Insurance Sci, Piraeus, Greece; [Eryilmaz, Serkan] Atilim Univ, Dept Ind Engn, Ankara, Turkey en_US
dc.description.abstract For a sequence of multi-state trials with l possible outcomes denoted by {1, 2, ..., l}, let E be the event that at least k(1) consecutive is followed by at least k(2) consecutive 2s,..., followed by at least k(l) consecutive ls. Denote by T-r the number of trials for the rth occurrence of the event E in a sequence of multi-state trials. This paper studies the distribution of the waiting time random variable T-r when the sequence consists of independent and identically distributed multi-state trials. In particular, distributional properties of T-r are examined via matrix-geometric distributions. en_US
dc.identifier.citationcount 0
dc.identifier.doi 10.1007/s00362-022-01351-7
dc.identifier.endpage 1390 en_US
dc.identifier.issn 0932-5026
dc.identifier.issn 1613-9798
dc.identifier.issue 5 en_US
dc.identifier.scopus 2-s2.0-85136057241
dc.identifier.startpage 1373 en_US
dc.identifier.uri https://doi.org/10.1007/s00362-022-01351-7
dc.identifier.uri https://hdl.handle.net/20.500.14411/2433
dc.identifier.volume 64 en_US
dc.identifier.wos WOS:000840278700001
dc.identifier.wosquality Q3
dc.institutionauthor Eryılmaz, Serkan
dc.language.iso en en_US
dc.publisher Springer 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 1
dc.subject Matrix-geometric distribution en_US
dc.subject Pattern en_US
dc.subject Probability generating function en_US
dc.subject Runs en_US
dc.subject Waiting time en_US
dc.title Computing Waiting Time Probabilities Related To (<i>k</I><sub>1< <i>k</I><sub>2< ..., <i>k<sub>l</Sub>< Pattern en_US
dc.type Article en_US
dc.wos.citedbyCount 2
dspace.entity.type Publication
relation.isAuthorOfPublication 37862217-5541-47e3-9406-e21aa38e7fdf
relation.isAuthorOfPublication.latestForDiscovery 37862217-5541-47e3-9406-e21aa38e7fdf
relation.isOrgUnitOfPublication 12c9377e-b7fe-4600-8326-f3613a05653d
relation.isOrgUnitOfPublication.latestForDiscovery 12c9377e-b7fe-4600-8326-f3613a05653d

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