A connection between the limit and the maximum random variable of a branching process in varying environments-Reference-Cited by-同舟云学术

A connection between the limit and the maximum random variable of a branching process in varying environments

Published:1982-09 Issue:3 Volume:19 Page:681-684
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Klebaner F. C.,Schuh H.-J.

Abstract

We show for a certain class of Galton–Watson branching processes in varying environments (Zn)n that moments of the maximum random variable supnZn/Cn exist if and only if the same moments of limnZn/Cn exist, where Cn is a sequence of suitable constants.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference7 articles.

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