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On patterns in sequences of random events

Gani, Joseph; Irle, A

Description

This paper considers patterns of particular events A1,...,Ak(k ≥ 2) in sequences of trials, some independent and others Markovian. Matrix recursions are found for the number of sequences of length n avoiding a specific pattern, and the associated probab

dc.contributor.authorGani, Joseph
dc.contributor.authorIrle, A
dc.date.accessioned2015-12-13T23:41:28Z
dc.identifier.issn0026-9255
dc.identifier.urihttp://hdl.handle.net/1885/94917
dc.description.abstractThis paper considers patterns of particular events A1,...,Ak(k ≥ 2) in sequences of trials, some independent and others Markovian. Matrix recursions are found for the number of sequences of length n avoiding a specific pattern, and the associated probab
dc.publisherSpringer
dc.sourceMonatshefte fur Mathematik
dc.subjectKeywords: Avoidance of a pattern, markov chain; Independent trials; Markovian trials; Repetitions; Sequences of events
dc.titleOn patterns in sequences of random events
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume127
dc.date.issued1999
local.identifier.absfor010404 - Probability Theory
local.identifier.ariespublicationMigratedxPub24624
local.type.statusPublished Version
local.contributor.affiliationGani, Joseph, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationIrle, A, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue4
local.bibliographicCitation.startpage295
local.bibliographicCitation.lastpage309
dc.date.updated2015-12-12T09:32:31Z
local.identifier.scopusID2-s2.0-0040629669
CollectionsANU Research Publications

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