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A limit theorem for population-size-dependent branching processes

Published online by Cambridge University Press:  14 July 2016

F. C. Klebaner
F. C. Klebaner*
Affiliation:
University of Melbourne
*
∗ Postal address: Department of Statistics, Richard Berry Building, The University of Melbourne, Parkville, VIC 3052, Australia.
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Abstract

An analogue of the Kesten–Stigum theorem, and sufficient conditions for the geometric rate of growth in the rth mean and almost surely, are obtained for population-size-dependent branching processes.

Keywords

MARKOV CHAINSSTATE DEPENDENCEKESTEN–STIGUM THEOREM

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 22 , Issue 1 , March 1985, pp. 48 - 57
Copyright
Copyright © Applied Probability Trust 1985 

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