An order-theoretic mixing condition for monotone Markov chains

We discuss the stability of discrete-time Markov chains satisfying monotonicity and an order-theoretic mixing condition that can be seen as an alternative to irreducibility. A chain satisfying these conditions has at most one stationary distribution. Moreover, if there is a stationary distribution, then the chain is stable in an order-theoretic sense.

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Year of publication:	2012
Authors:	Kamihigashi, Takashi ; Stachurski, John
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 82.2012, 2, p. 262-267
Publisher:	Elsevier
Subject:	Markov chains \| Monotonicity \| Mixing \| Irreducibility \| Coupling

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010571801