Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-23T05:16:07.985Z Has data issue: false hasContentIssue false
  • English
  • Français

On supercritical Galton-Watson processes allowing immigration

Published online by Cambridge University Press:  14 July 2016

A. G. Pakes
A. G. Pakes*
Affiliation:
Monash University
Get access Rights & Permissions [Opens in a new window]

Abstract

We establish the absolute continuity of the limit random variables of two supercritical Galton-Watson branching processes, one allowing unrestricted immigration and the other having a state dependent immigration component.

Keywords

BRANCHING PROCESSESSUPERCRITICALIMMIGRATIONABSOLUTE CONTINUITY
Type
Short Communications
Information
Journal of Applied Probability , Volume 11 , Issue 4 , December 1974 , pp. 814 - 817
Copyright
Copyright © Applied Probability Trust 1974 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Athreya, K. B. (1969) On the supercritical one dimensional age dependent branching process. Ann. Math. Statist. 40, 743–763.Google Scholar
Athreya, K. B. (1971) On the absolute continuity of the limit random variable in the supercritical Galton-Watson branching process. Proc. Amer. Math. Soc. 30, 563–565.Google Scholar
Athreya, K. B. and Ney, P. E. (1972) Branching Processes. Springer, Berlin.Google Scholar
Pakes, A. G. (1971a) Branching processes with immigration. J. Appl. Prob. 8, 32–42.Google Scholar
Pakes, A. G. (1971b) A branching process with a state dependent immigration component. Adv. Appl. Prob. 3, 301–314.Google Scholar
Seneta, E. (1970) On the supercritical Galton-Watson process with immigration. Math. Biosci. 7, 9–14.Google Scholar