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Extinction probability, regularity and asymptotic growth of Markovian populations
Published online by Cambridge University Press: 14 July 2016
Abstract
The distribution of the maximum and the extinction probability for a Markovian population is derived. Asymptotic growth is described, using the sequence of sojourn times. A regularity criterion for the processes under consideration exists under certain assumptions. For a class of processes with specific population-dependent transition rates the asymptotic behaviour is given explicitly.
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- Copyright © Applied Probability Trust
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