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The extinction time of Markov branching processes

Published online by Cambridge University Press:  14 July 2016

Robert C. Wang
Robert C. Wang*
Affiliation:
Mountain States Telephone and Telegraph Company (Mountain Bell), Denver, Colorado
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Abstract

This paper considers the expression of expectations and density function of the extinction time for a continuous-time Markov branching process.

Keywords

MARKOV BRANCHING PROCESSEXTINCTION TIMELOG-CONCAVITYLOG-CONVEXITY
Type
Short Communications
Information
Journal of Applied Probability , Volume 13 , Issue 2 , June 1976 , pp. 345 - 347
Copyright
Copyright © Applied Probability Trust 1976 

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References

Athreya, K. B. and Ney, P. E. (1972) Branching Processes. Springer-Verlag, New York.Google Scholar
Seneta, E. (1967) The Galton-Watson process with mean one. J. Appl. Prob. 4, 489–495.CrossRefGoogle Scholar
Yang, Y. S. (1972) On branching processes allowing immigration. J. Appl. Prob. 9, 24–31.Google Scholar