Asymptotic behavior of near-critical multitype branching processes-Reference-Cited by-同舟云学术

Asymptotic behavior of near-critical multitype branching processes

Published:1991-09 Issue:3 Volume:28 Page:512-519
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Klebaner Fima C.

Abstract

Sufficient conditions for survival and extinction of multitype population-size-dependent branching processes in discrete time are obtained. Growth rates are determined on the set of divergence to infinity. The limiting distribution of a properly normalized process can be generalized gamma, normal or degenerate.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference6 articles.

1. Stochastic Difference Equations and Generalized Gamma Distributions

2. On recurrence and transience of growth models

3. On the Asymptotic Behaviour of Discrete Time Stochastic Growth Processes

4. Branching Processes

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