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Stationarity of a stochastic population flow model
Published online by Cambridge University Press: 14 July 2016
Abstract
We consider a classical population flow model in which individuals pass through n strata with certain state-dependent probabilities and at every time t = 0,1,2,…, there is a stochastic inflow of new individuals to every stratum. For a stationary inflow process we prove the convergence of the joint distribution of group sizes and derive the limiting Laplace transform.
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- Copyright © Applied Probability Trust 1999
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