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On the almost sure convergence of controlled branching processes

Published online by Cambridge University Press:  14 July 2016

J. H. Bagley
J. H. Bagley*
Affiliation:
University of Manchester Institute of Science and Technology
*
∗Postal address: Department of Mathematics, UMIST, P.O. Box 88, Manchester M60 1QD, UK.
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Abstract

An almost sure convergence result for the normed population size of a supercritical controlled branching process is proved.

Keywords

MARTINGALESGALTON–WATSON PROCESS
Type
Short Communications
Information
Journal of Applied Probability , Volume 23 , Issue 3 , September 1986 , pp. 827 - 831
Copyright
Copyright © Applied Probability Trust 1986 

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References

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[7] Zubkov, A. M. (1974) Analogies between Galton–Watson processes and ? -branching processes. Theory Prob. Appl. 19, 309–331.CrossRefGoogle Scholar