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February, 1976 Supercritical Age Dependent Branching Processes with Generation Dependence
Dean H. Fearn
Ann. Probab. 4(1): 27-37 (February, 1976). DOI: 10.1214/aop/1176996178

Abstract

This paper examines the size, $Z(t)$, of a population as a function of time. $Z(t)$ is just like the ordinary Bellman-Harris age dependent branching process except that the number of daughters born to an individual in the $n$th generation is allowed to depend on $n$. The renewal theory of William Feller and Laplace transform theory are used to obtain the behavior of $EZ(t)$ as $t$ approaches infinity, and the convergence of $Z(t)/E(Z(t))$ in quadratic mean.

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Dean H. Fearn. "Supercritical Age Dependent Branching Processes with Generation Dependence." Ann. Probab. 4 (1) 27 - 37, February, 1976. https://doi.org/10.1214/aop/1176996178

Information

Published: February, 1976
First available in Project Euclid: 19 April 2007

zbMATH: 0329.60051
MathSciNet: MR391287
Digital Object Identifier: 10.1214/aop/1176996178

Subjects:
Primary: 60J80
Secondary: 60K05

Keywords: Age dependent branching processes

Rights: Copyright © 1976 Institute of Mathematical Statistics

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Vol.4 • No. 1 • February, 1976
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