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Collapsing supercritical branching processes

Published online by Cambridge University Press:  14 July 2016

Fergus Daly*
Affiliation:
University of Hull

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.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1979 

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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, 601604.CrossRefGoogle ScholarPubMed
Bellman, R. and Harris, T. E. (1952) On age-dependent binary branching processes. Ann. Math. 55, 280295.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, 291306.CrossRefGoogle Scholar
Waugh, W. A. O'N. (1958) Conditioned Markov processes. Biometrika 45, 241249.CrossRefGoogle Scholar
Waugh, W. A. O'N. (1968) Age-dependent branching processes under a condition of ultimate extinction. Biometrika 55, 291296.CrossRefGoogle Scholar