Abstract
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, Hull and Taylor [J. Appl. Probab. 23 (1986) 585–600] that the extinction probability of such a BGWP apparently behaves like a constant times the respective probability of its asexual counterpart (where males do not matter) if the number of ancestors grows to
Citation
Gerold Alsmeyer. Uwe Rösler. "Asexual Versus Promiscuous Bisexual Galton-Watson Processes: The Extinction Probability Ratio." Ann. Appl. Probab. 12 (1) 125 - 142, February 2002. https://doi.org/10.1214/aoap/1015961158
Information