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An Order-Theoretic Mixing Condition for Monotone Markov Chains

This page collects files for the paper An Order-Theoretic Mixing Condition for Monotone Markov Chains by Takashi Kamihigashi and John Stachurski.

Publication Details

An Order-Theoretic Mixing Condition for Monotone Markov Chains
Takashi Kamihigashi and John Stachurski
Statistics and Probability Letters, 82, 262--267, 2012

Abstract

We discuss 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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