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Convergence of general branching processes and functionals thereof

Published online by Cambridge University Press:  14 July 2016

Peter Jagers
Peter Jagers*
Affiliation:
University of Gothenburg, Sweden
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Abstract

With each individual in a branching population associate a random function of the age. Count the population by the values of these functions. Different choices yield different processes. In the supercritical case a unified treatment of the asymptotics is possible for a wide class, including for example the number of individuals having some random age dependent property or integrals of branching processes. As an application, the demographic concept of average age at childbearing is given a rigorous interpretation.

Keywords

ALMOST SURE CONVERGENCEGENERAL BRANCHING PROCESSES
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 3 , September 1974 , pp. 471 - 478
Copyright
Copyright © Applied Probability Trust 1974 

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