Scholarly Works

The critical Bienaymé-Galton-Watson process

Journal article

The critical Bienaymé-Galton-Watson process

Abstract

The existence and uniqueness of invariant measures for the critical, multitype Bienayné-Galton-Watson process is established by proving corresponding results for convex solutions of Abel's functional equation. A limit theorem is obtained by conditioning future extinction. No additional moment assumptions are made.

Authors

Hoppe FM

Journal

Stochastic Processes and their Applications, Vol. 5, No. 1, pp. 57–66

Publisher

Elsevier

Publication Date

January 1, 1977

DOI

10.1016/0304-4149(77)90050-3

ISSN

0304-4149

Associated Experts

Fred Hoppe

Professor Emeritus, Faculty of Science

Labels

Fields of Research (FoR)

4901 Applied mathematics 49 Mathematical Sciences 4905 Statistics

View published work (Non-McMaster Users)

View published work (McMaster Users)

Contact the Experts team

Get technical help

or

Provide website feedback