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Some recent work on branching processes in random environments

Published online by Cambridge University Press:  01 July 2016

W. L. Smith
W. L. Smith*
Affiliation:
University of North Carolina at Chapel Hill
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Abstract

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Type
I. Invited Review and Research Papers
Information
Advances in Applied Probability , Volume 6 , Issue 2 , June 1974 , pp. 210 - 212
Copyright
Copyright © Applied Probability Trust 1974 

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References

Athreya, K. B. and Karlin, S. (1971a) Branching processes with random environments: I; extinction probabilities. Ann. Math. Statist. 42, 1499–1520.Google Scholar
Athreya, K. B. and Karlin, S. (1971b) Branching processes with random environments: II; limit theorems. Ann. Math. Statist. 42, 1843–1858.Google Scholar
Furstenburg, H. and Kesten, H. (1960) Products of random matrices. Ann. Math. Statist. 31, 457–469.Google Scholar
Kaplan, N. (1973) Some results about multidimensional branching processes with random environments. To appear (available as Stanford University Technical Report).Google Scholar
Savits, T. H. (1972) Branching Markov processes in a random environment. Indiana U. Math. J. 21, 907–923.CrossRefGoogle Scholar
Smith, W. L. (1968) Necessary conditions for almost sure extinction of a branching process with random environment. Ann. Math. Statist. 39, 2136–2140.Google Scholar
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Weissner, E. W. (1971) Multitype branching processes in random environments. J. Appl. Prob. 8, 17–31.Google Scholar