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
Authors:	Van, Cuong Le ; Stachurski, John
Institutions:	Department of Economics, Faculty of Business and Economics

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Extent:	application/pdf
Series:	Department of Economics - Working Papers Series.
Type of publication:	Book / Working Paper
Notes:	Number 900 7 pages
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10005574817