Stationary measures for multitype branching processes-Reference-Cited by-同舟云学术

Stationary measures for multitype branching processes

Published:1975-06 Issue:2 Volume:12 Page:219-227
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Hoppe Fred

Abstract

The multitype Galton-Watson process is considered both with and without immigration. Proofs are given for the existence of invariant measures and their uniqueness is examined by functional equation methods. Theorem 2.1 proves the uniqueness, under certain conditions, of solutions of a multidimensional Schröder equation. Regular variation is shown to play a role in the multitype theory.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference14 articles.

1. On invariant measures for simple branching processes

2. A Tauberian Theorem of E. Landau and W. Feller

3. The Multitype Galton-Watson Process with Immigration

4. On multitype branching processes with ϱ ⩽ 1

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