On the geometric growth in a class of homogeneous multitype Markov chain-Reference-Cited by-同舟云学术

On the geometric growth in a class of homogeneous multitype Markov chain

Published:2005-12 Issue:4 Volume:42 Page:1015-1030
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

González M.,Martínez R.,Mota M.

Abstract

In this paper, we investigate the geometric growth of homogeneous multitype Markov chains whose states have nonnegative integer coordinates. Such models are considered in a situation similar to the supercritical case for branching processes. Finally, our general theoretical results are applied to a class of controlled multitype branching process in which the control is random.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference8 articles.

1. A limit theorem for population-size-dependent branching processes

2. Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$

3. Geometric Growth in Near-Supercritical Population Size Dependent Multitype Galton-Watson Processes

4. Controlled Branching Processes

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