Equivalent conditions for irreducibility of discrete time Markov chains.

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.

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Year of publication:	2004-06
Authors:	Van, Cuong Le ; Stachurski, John
Institutions:	Maison des Sciences Économiques, Université Paris 1 (Panthéon-Sorbonne)
Subject:	Discrete time Markov chains \| invariant distribution \| nondecomposability \| irreducibility \| absorbing set

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Extent:	application/pdf
Series:	Cahiers de la Maison des Sciences Economiques. - ISSN 1624-0340.
Type of publication:	Book / Working Paper
Language:	English
Notes:	6 pages
Classification:	O41 - One, Two, and Multisector Growth Models
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005797794