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A note on extinction criteria for bisexual Galton-Watson processes

Published online by Cambridge University Press:  14 July 2016

F. Thomas Bruss*
Facultés Universitaires Notre-Dame de la Paix, Namur
Postal address: Département de Mathématique, FNDP, Rempart de la Vierge 8, B-5000 Namur, Belgium.


This note deals with extinction criteria for bisexual Galton–Watson processes with arbitrary mating functions in terms of the averaged reproduction mean per mating unit. It gives a satisfactory answer to a question put forward by Hull (1982).

Short Communications
Copyright © Applied Probability Trust 1984 

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Sevastyanov, B. A. and Zubkov, A. M. (1974) Controlled branching processes. Theory Prob. Appl. 19, 1424.Google Scholar