Equivalent conditions for irreducibility of discrete time Markov chains

Cuong Le van and John Stachurski

Cahiers de la Maison des Sciences Economiques from Université Panthéon-Sorbonne (Paris 1)

Abstract: We consider discrete time Markov chains on general state space. It is shown that a certain property referred to here as nondecomposability is equivalent to irreducibility and that a Markov chain with invariant distribution is irreducible if and only if the invariant distribution is unique and assigns positive probability to all absorbing sets

Keywords: Discrete time Markov chains; invariant distribution; nondecomposability; irreducibility; absorbing set (search for similar items in EconPapers)
JEL-codes: O41 (search for similar items in EconPapers)
Pages: 6 pages
Date: 2004-06
New Economics Papers: this item is included in nep-ecm and nep-ets
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ftp://mse.univ-paris1.fr/pub/mse/cahiers2004/B04061.pdf (application/pdf)

Related works:
Working Paper: Equivalent Conditions for Irreducibility of Discrete Time Markov Chains (2004)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:wpsorb:b04061

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