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A note on the probability of extinction in a class of population-size-dependent Galton-Watson processes
Published online by Cambridge University Press: 14 July 2016
Abstract
In a class of population-size-dependent Galton-Watson processes where extinction does not occur with probability 1 we describe the rate of decay of qi (the probability that the process starting from i ancestors will become extinct) as the number i of ancestors increases.
The results are related to the asymptotic behavior of the Green's function of the critical Galton-Watson process with immigration.
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- Copyright © Applied Probability Trust 1985
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