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Computing waiting time probabilities related to (k1, k2, ..., kl) pattern

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dc.contributor.authorChadjiconstantinidis, Stathis
dc.contributor.authorEryılmaz, Serkan
dc.date.accessioned2023-12-06T07:47:19Z
dc.date.available2023-12-06T07:47:19Z
dc.date.issued2023-11-26
dc.descriptionStatistical Papers (2023) 64: 1373-1390, https://doi.org/10.1007/s00362-022-01351-7, aUniversity of Piraeus, Greece, bAtilim University, Turkey
dc.description.abstractFor a sequence of multi-state trials with l possible outcomes denoted by f1; 2; :::; lg, let E be the event that at least k1 consecutive 1s followed by at least k2 consecutive 2s,..., followed by at least kl consecutive ls. Denote by Tr 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 Tr when the sequence consists of independent and identically distributed multi-state trials. In particular, distributional properties of Tr are examined via matrix-geometric distributions.
dc.identifier.citationhttps://doi.org/10.1007/s00362-022-01351-7
dc.identifier.issn1613-9798
dc.identifier.urihttp://hdl.handle.net/20.500.14411/1833
dc.language.isoen
dc.publisherStatistical Papers
dc.relation.ispartofseries64; 1373–1390
dc.subjectMatrix-geometric distributionseng
dc.titleComputing waiting time probabilities related to (k1, k2, ..., kl) pattern
dc.typeArticle
dspace.entity.typeArticle

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