SHI Dinghua, . TWO COUNTING PROCESSES IN A MARKOV CHAIN WITH COUNTINUOUS TIME[J]. Chinese Journal of Applied Probability and Statistics, 1994, 10(1): 84-89.
Citation:
SHI Dinghua, . TWO COUNTING PROCESSES IN A MARKOV CHAIN WITH COUNTINUOUS TIME[J]. Chinese Journal of Applied Probability and Statistics, 1994, 10(1): 84-89.
SHI Dinghua, . TWO COUNTING PROCESSES IN A MARKOV CHAIN WITH COUNTINUOUS TIME[J]. Chinese Journal of Applied Probability and Statistics, 1994, 10(1): 84-89.
Citation:
SHI Dinghua, . TWO COUNTING PROCESSES IN A MARKOV CHAIN WITH COUNTINUOUS TIME[J]. Chinese Journal of Applied Probability and Statistics, 1994, 10(1): 84-89.
TWO COUNTING PROCESSES IN A MARKOV CHAIN WITH COUNTINUOUS TIME
In this paper, we consider two transition numbers among all states and from state set A to B in a homogeneous Markov chain with continuous time during (0, t. In order to calculate their mean transition numbers, some simple useful formulas in stochastic models are obtained and a new class of infinite phase type distributions is introduced.
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