Regularity conditions for semi-Markov and Markov chains in continuous time
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The classical condition for regularity of a Markov chain is extended to include semi-Markov chains. In addition, for any given semi-Markov chain, we find Markov chains which exhibit identical regularity properties. This is done either (i) by transforming the state space or, alternatively, (ii) by imposing conditions on the holding-time distributions. Brief consideration is given to the problem of extending the results to processes other than semi-Markov chains.
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1976 ◽
Vol 8
(04)
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pp. 737-771
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1990 ◽
Vol 4
(1)
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pp. 89-116
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1984 ◽
Vol 21
(03)
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pp. 567-574
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