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Almost sure convergence of Galton-Watson branching processes in varying and random environments

Published online by Cambridge University Press:  01 July 2016

T. Lindvall*
Affiliation:
Chalmers University of Technology, Sweden

Abstract

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Type
II Contributed Papers
Copyright
Copyright © Applied Probability Trust 1974 

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References

[1] Athreya, K. B. and Karlin, S. (1971) On branching processes with random environments: I. Extinction probabilities. Ann. Math. Statist. 42, 14991520.Google Scholar
[2] Church, J. D. (1967) Composition limit theorems for probability generating functions. MRC Tech. Summ. Rept. No 732, Math. Research Center, Madison, Wisc. Google Scholar
[3] Harris, T. E. (1963) The Theory of Branching Processes. Springer Verlag, Berlin.CrossRefGoogle Scholar
[4] Heyde, C. C. (1970) Extension of a result of Seneta for the supercritical Galton-Watson process. Ann. Math. Statist. 41, 739742.CrossRefGoogle Scholar
[5] Jagers, P. (1974) Galton-Watson processes in varying environments. J. Appl. Prob. 11, 174178.Google Scholar