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Limiting diffusions for population-size dependent branching processes

Published online by Cambridge University Press:  14 July 2016

Carla Lipow
Carla Lipow*
Affiliation:
University of Pittsburgh
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Abstract

A classical theorem on the convergence to a diffusion of a sequence of branching processes will be proved in the case where the branching processes are modified to allow dependence on population size of the generating function governing reproduction. Some recent semigroup convergence theorems due to Kurtz (1969), (1975) provide the main tools.

Keywords

BRANCHING PROCESSPOPULATION-SIZE DEPENDENCEDIFFUSIONSEMIGROUP CONVERGENCEWEAK CONVERGENCE
Type
Research Papers
Information
Journal of Applied Probability , Volume 14 , Issue 1 , March 1977 , pp. 14 - 24
Copyright
Copyright © Applied Probability Trust 1977 

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References

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