Asexual Versus Promiscuous Bisexual Galton-Watson Processes: The Extinction Probability Ratio

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Asexual Versus Promiscuous Bisexual Galton-Watson Processes: The Extinction Probability Ratio

We consider the supercritical bisexual Galton-Watson process (BGWP) with promiscuous mating, that is a branching process which behaves like an ordinary supercritical Galton-Watson process (GWP) as long as at least one male is born in each generation. For a certain example, it was pointed out by Daley et al. [7] that the extinction probability of such a BGWP apparently behaves like a constant ti...

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ژورنال

عنوان ژورنال: The Annals of Applied Probability

سال: 2002

ISSN: 1050-5164

DOI: 10.1214/aoap/1015961158