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On a general branching process

Published online by Cambridge University Press:  14 July 2016

Fergus Daly
Fergus Daly*
Affiliation:
University of Hull
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Abstract

A branching process is described which contains some better-known simple branching processes as special cases. Variables examined are the rate of development, the number of individuals currently alive, and the duration of the process. The apparent dynamics of collapsing supercritical realisations are isolated.

Keywords

GALTON-WATSON PROCESSBELLMAN–HARRIS PROCESSAGE-DEPENDENT BRANCHING PROCESSBIRTH-AND-DEATH PROCESSINDISTINGUISHABLE PROCESSES
Type
Short Communications
Information
Journal of Applied Probability , Volume 18 , Issue 1 , March 1981 , pp. 253 - 255
Copyright
Copyright © Applied Probability Trust 

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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. USA 34, 601–604.CrossRefGoogle ScholarPubMed
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Jagers, P. (1975) Branching Processes with Biological Applications. Wiley, London.Google Scholar
Sevastyanov, B. A. (1964) Age-dependent branching processes. Theory Prob. Appl. 9, 521–537.CrossRefGoogle Scholar