On the transient behaviour of a Poisson branching process
- 1 November 1967
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 7 (4) , 465-480
- https://doi.org/10.1017/s1446788700004407
Abstract
Summary: 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.Keywords
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