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On weak lumpability of a finite Markov chain

dc.citation.epage318en_US
dc.citation.issue4en_US
dc.citation.spage313en_US
dc.citation.volume27en_US
dc.citation.woscount2
dc.contributor.authorPeng, NFen_US
dc.contributor.department統計學研究所zh_TW
dc.contributor.departmentInstitute of Statisticsen_US
dc.date.accessioned2014-12-08T15:02:42Z
dc.date.available2014-12-08T15:02:42Z
dc.date.issued1996-05-01en_US
dc.description.abstractAn irreducible and homogeneous Markov chain with finite state space is considered. Under a mild condition Gamma on the transition probability matrix, a necessary and sufficient condition for weak lumpability, and the characterization of the set of initial starting vectors which make it lumpable are obtained. A similar result is obtained for those transition probability matrices without the restriction of condition Gamma.en_US
dc.identifier.doi10.1016/0167-7152(95)00091-7en_US
dc.identifier.issn0167-7152en_US
dc.identifier.journalSTATISTICS & PROBABILITY LETTERSen_US
dc.identifier.urihttp://dx.doi.org/10.1016/0167-7152(95)00091-7en_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/1338
dc.identifier.wosnumberWOS:A1996UH49400004
dc.language.isoen_USen_US
dc.subjectMarkov chainen_US
dc.subjectweak lumpabilityen_US
dc.titleOn weak lumpability of a finite Markov chainen_US
dc.typeArticleen_US

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