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Birth and death processes with random environments in continuous time

Published online by Cambridge University Press:  01 July 2016

Robert Cogburn  and
William Torrez
Robert Cogburn
Affiliation:
(University of New Mexico)
William Torrez
Affiliation:
(University of California, Riverside)
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Abstract

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Type
Ninth Conference on Stochastic Processes and their Applications, Evanston, Illinois, 6–10 August 1979
Information
Advances in Applied Probability , Volume 12 , Issue 2 , June 1980 , pp. 290
Copyright
Copyright © Applied Probability Trust 1980 

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References

1. Cogburn, R. (1980) Markov chains in random environments: the case of Markovian environments. Ann. Prob. 6. To appear.CrossRefGoogle Scholar
2. Purdue, P. (1974) The M/M/1 queue in a Markovian environment. Operat. Res. 22, 562–569.Google Scholar
3. Torrez, W. (1978) The birth and death chain in a random environment: instability and extinction theorems. Ann. Prob. 6, 1026–1043.Google Scholar
4. Torrez, W. (1979) Calculating extinction probabilities for the birth and death chain in a random environment. J. Appl. Prob. 16, 709–720.Google Scholar