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Critical branching processes

Published:1974-09 Issue:3 Volume:6 Page:434-445
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Ney Peter

Abstract

This paper develops a comparison method for critical branching processes. The method is applied to prove the exponential limit law for the multi-type age-dependent process under second moment conditions.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference11 articles.

1. On multitype branching processes with ϱ ⩽ 1

2. The Theory of Branching Processes

3. Goldstein M. (1969) Critical age-dependent branching processes. Ph. D. thesis, University of Wisconsin.

4. On the transient behaviour of a Poisson branching process

5. The non-linear renewal equation

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1. A Multi-type Critical Emigration Branching Process;Journal of Information and Optimization Sciences;1990-09

2. A Critical Emigration Branching Process;Journal of Information and Optimization Sciences;1990-05

3. Branching processes. I;Journal of Soviet Mathematics;1987-10

4. A limit Theorem for a Critical Bellman-Harris Branching Process with Several Types of Particles and Infinite Second Moments;Theory of Probability & Its Applications;1979-09

5. A uniform limit theorem and exponential limit law for critical multitype age-dependent branching processes;Journal of Applied Probability;1978-06

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