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Some results on population-size-dependent Galton-Watson processes
Published online by Cambridge University Press: 14 July 2016
Abstract
Some classes of population-size-dependent Galton-Watson processes are considered where extinction occurs with probability 1. Results on the asymptotic behaviour of the probability of survival up to time t, mean population size and conditioned limit distributions are found to hold. They correspond to those obtained in the study of Galton-Watson processes with immigration stopped at 0.
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- Copyright © Applied Probability Trust 1986
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