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A note on the first two moments of times in transient states in a semi-Markov process

Published online by Cambridge University Press:  14 July 2016

Edward P. C. Kao
Edward P. C. Kao*
Affiliation:
Yale University
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Abstract

This paper derives results for computing the first two moments of times in transient states and times to absorption in a transient semi-Markov process. An illustrative example is presented at the end.

Keywords

SEMI-MARKOV PROCESSFIRST TWO MOMENTSTIMES IN TRANSIENT STATES
Type
Short Communications
Information
Journal of Applied Probability , Volume 11 , Issue 1 , March 1974 , pp. 193 - 198
Copyright
Copyright © Applied Probability Trust 1974 

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References

[1] Çinlar, E. (1969) Markov renewal theory. Adv. Appl. Prob. 1, 123–187.CrossRefGoogle Scholar
[2] Denardo, E. V. (1971) Markov renewal programs with small interest rates Ann. Math. Statist. 42, 477–496.CrossRefGoogle Scholar
[3] Kemeny, J. G. and Snell, J. L. (1961) Finite Markov Chains. Van Nostrand, Princeton.Google Scholar
[4] Howard, R. A. (1971) Dynamic Probabilistic Systems. Wiley, New York.Google Scholar
[5] Hunter, J. J. (1969) On the moments of Markov renewal processes Adv. Appl. Prob. 1, 188–210.CrossRefGoogle Scholar