An Order-Theoretic Mixing Condition for Monotone Markov Chains
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.
Year of publication: |
2011-10
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Authors: | Kamihigashi, Takashi ; Stachurski, John |
Institutions: | College of Business and Economics, Australian National University |
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