Extinction probability, regularity and asymptotic growth of Markovian populations
Copyright policy )Extinction probability, regularity and asymptotic growth of Markovian populations
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.
Research, asymptotic behaviour, Population, Population Dynamics, Statistics as Topic, Models, Theoretical, regularity criterion, Markov Chains, Branching processes (Galton-Watson, birth-and-death, etc.), extinction probability, sojourn times, Population Growth, Continuous-time Markov processes on discrete state spaces, Demography, Probability
Research, asymptotic behaviour, Population, Population Dynamics, Statistics as Topic, Models, Theoretical, regularity criterion, Markov Chains, Branching processes (Galton-Watson, birth-and-death, etc.), extinction probability, sojourn times, Population Growth, Continuous-time Markov processes on discrete state spaces, Demography, Probability
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