Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-29T00:07:08.304Z Has data issue: false hasContentIssue false

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*
Affiliation:
Yale University

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.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1974 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Çinlar, E. (1969) Markov renewal theory. Adv. Appl. Prob. 1, 123187.CrossRefGoogle Scholar
[2] Denardo, E. V. (1971) Markov renewal programs with small interest rates Ann. Math. Statist. 42, 477496.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, 188210.CrossRefGoogle Scholar