On the Convergence of Sequences of Branching Processes

Abstract

It is shown that there is a close relationship between the convergence of a sequence of normalized Galton-Watson processes and the convergence of the rowsums of a certain triangular array of independent identically distributed random variables. Using this result some limit theorems by Jirina and Lamperti are strengthened.

Identifiers

DOI

10.1214/aop/1176996496

Citations and references