Galton-Watson Processes Gone Wild!
While browsing in the library many moons ago, I came across this paper in the Annals of Applied Probability:
Asexual versus Promiscuous Bisexual Galton-Watson Processes: The Extinction Probability Ratio
First sentence in abstract: "We consider the supercritical bisexual Galton-Watson process (PGWP) 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."
Discuss.
Asexual versus Promiscuous Bisexual Galton-Watson Processes: The Extinction Probability Ratio
First sentence in abstract: "We consider the supercritical bisexual Galton-Watson process (PGWP) 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."
Discuss.