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October, 1973 The Nonexistence of the Yaglom Limit for An Age Dependent Subcritical Branching Process
Thomas G. Kurtz, Stephen Wainger
Ann. Probab. 1(5): 857-861 (October, 1973). DOI: 10.1214/aop/1176996852

Abstract

An age dependent subcritical branching process is constructed for which the conditioned limits $$\lim_{t\rightarrow\infty} P\{Z(t) = k \mid Z(t) > 0\}\quad k \geqq 1,$$ do not exist.

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Thomas G. Kurtz. Stephen Wainger. "The Nonexistence of the Yaglom Limit for An Age Dependent Subcritical Branching Process." Ann. Probab. 1 (5) 857 - 861, October, 1973. https://doi.org/10.1214/aop/1176996852

Information

Published: October, 1973
First available in Project Euclid: 19 April 2007

zbMATH: 0271.60093
MathSciNet: MR353473
Digital Object Identifier: 10.1214/aop/1176996852

Subjects:
Primary: 60J80

Keywords: branching process , Yaglom limit

Rights: Copyright © 1973 Institute of Mathematical Statistics

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Vol.1 • No. 5 • October, 1973
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