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Imprecise Markov chains with absorption
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DOI：10.1016/j.ijar.2010.08.008.png)
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摘要
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We consider convergence of Markov chains with uncertain parameters, known as imprecise Markov chains, which contain an absorbing state. We prove that under conditioning on non-absorption the imprecise conditional probabilities converge independently of the initial imprecise probability distribution if some regularity conditions are assumed. This is a generalisation of a known result from the classical theory of Markov chains by Darroch and Seneta [6]. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.
Keyword:
Interval probabilities
Markov chains
Quasi-stationary distributions
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