Convergence of critical Galton-Watson branching processes

1 March 1972

journal article
research article
Published by Cambridge University Press (CUP) in Journal of Applied Probability

Vol. 9 (02) , 445-450
https://doi.org/10.1017/s0021900200095140

Abstract

The purpose of this note is to extend results on critical Galton-Watson branching processes, due to Feller and Lamperti: if the number of individuals at time zero tends to infinity, the process converges, with two different normalizations, to certain diffusion processes in the functional form, discussed in, e.g., Billingsley.

Keywords

CONVERGE
CRITICAL BRANCHING PROCESS
DIFFUSION PROCESS
FUNCTIONAL FORM
EXTENDING LAMPERTI

This publication has 1 reference indexed in Scilit:

The Limit of a Sequence of Branching Processes
Probability Theory and Related Fields, 1967