title: Extinction probability, regularity and asymptotic growth of Markovian populations.
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."
authors.forename: N
authors.initials: N
authors.lastname: Lenz
mesh_terms: D003710:Demography; D008390:Markov Chains; D008962:Models, Theoretical; D011153:Population; D011157:Population Dynamics; D011158:Population Growth; D011336:Probability; D012106:Research; D013223:Statistics as Topic
keywords: Demographic Factors; Markov Chain; Models, Theoretical; Population; Population Dynamics; Population Growth; Probability; Research Methodology; Statistical Studies; Statistics; Studies