Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-24T08:21:35.587Z Has data issue: false hasContentIssue false
  • English
  • Français

Collapsing supercritical branching processes

Published online by Cambridge University Press:  14 July 2016

Fergus Daly
Fergus Daly*
Affiliation:
University of Hull
Get access Rights & Permissions [Opens in a new window]

Abstract

Characteristics of some collapsing supercritical stochastic population processes where an embedded Galton–Watson process can be isolated are shown to be identical to those of some associated subcritical process.

Keywords

GALTON–WATSON PROCESSMULTI-TYPE GALTON-WATSON PROCESSBIRTH-AND-DEATH PROCESSBELLMAN–HARRIS PROCESSAGE-DEPENDENT BRANCHING PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 4 , December 1979 , pp. 732 - 739
Copyright
Copyright © Applied Probability Trust 1979 

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

Bellman, R. and Harris, T. E. (1948) On the theory of age-dependent stochastic branching processes. Proc. Nat. Acad. Sci. U.S.A. 34, 601–604.CrossRefGoogle ScholarPubMed
Bellman, R. and Harris, T. E. (1952) On age-dependent binary branching processes. Ann. Math. 55, 280–295.Google Scholar
Cox, D. R. and Miller, H. D. (1965) The Theory of Stochastic Processes. Chapman and Hall, London.Google Scholar
Karlin, S. and Taylor, H. M. (1975) A First Course in Stochastic Processes , 2nd edn. Academic Press, London.Google Scholar
Waugh, W. A. O'N. (1955) An age-dependent birth-and-death process. Biometrika 42, 291–306.CrossRefGoogle Scholar
Waugh, W. A. O'N. (1958) Conditioned Markov processes. Biometrika 45, 241–249.CrossRefGoogle Scholar
Waugh, W. A. O'N. (1968) Age-dependent branching processes under a condition of ultimate extinction. Biometrika 55, 291–296.CrossRefGoogle Scholar