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Stationarity of a stochastic population flow model

Part of: Limit theorems Special processes

Published online by Cambridge University Press:  14 July 2016

Wolfgang Stadje
Wolfgang Stadje*
Affiliation:
University of Osnabrück
*
∗Postal address: Fachbereich Mathematik/Informatik, Universität Osnabrück, D 49069 Osnabrück, Germany. Email address: wolfgang@mathematik.uni-osnabrueck.de.
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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.

Keywords

Special processes

MSC classification

Primary: 60K37: Processes in random environments
Secondary: 60F05: Central limit and other weak theorems
Type
Short Communications
Information
Journal of Applied Probability , Volume 36 , Issue 1 , March 1999 , pp. 291 - 294
Copyright
Copyright © Applied Probability Trust 1999 

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References

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