Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-23T05:45:46.806Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on the supercritical generalized age-dependent branching process

Published online by Cambridge University Press:  14 July 2016

Norman Kaplan
Norman Kaplan*
Affiliation:
University of California, Berkeley
Get access Rights & Permissions [Opens in a new window]

Abstract

A sufficient condition is given for a supercritical generalized age-dependent branching process, properly normalized, to converge to zero. This condition is the strongest one possible, for if it does not hold, then it is known that the normalized process does indeed converge to a legitimate random variable.

Keywords

GENERALIZED AGE-DEPENDENT BRANCHING PROCESSSUPERCRITICAL BRANCHING PROCESS
Type
Short Communications
Information
Journal of Applied Probability , Volume 12 , Issue 2 , June 1975 , pp. 341 - 345
Copyright
Copyright © Applied Probability Trust 1975 

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

[1] Athreya, K. (1969) On the supercritical one-dimensional age-dependent branching process. Ann. Math. Statist. 40, 743–763.Google Scholar
[2] Doney, R. A. (1972) A limit theorem for a class of supercritical branching process. J. Appl. Prob. 9, 707–725.Google Scholar