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On the transient behaviour of a Poisson branching process

Published online by Cambridge University Press:  09 April 2009

E. Seneta
E. Seneta
Affiliation:
Australian National UniversityCanberra, Australia
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Summary

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In general, information concerning the distribution of the time to absorption, T, of a simple branching (Galton-Watson) process for which extinction in finite mean time is certain, is difficult to obtain. The process of greatest biological interest is that for which the offspring distribution is Poisson, having p.g.f. F(s) = em(s-1), m < 1.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 4 , November 1967 , pp. 465 - 480
Copyright
Copyright © Australian Mathematical Society 1967

References

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