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General branching processes with immigration

Part of: Markov processes

Published online by Cambridge University Press:  14 July 2016

Peter Olofsson
Peter Olofsson*
Affiliation:
Chalmers University of Technology
*
∗Postal address: Department of Mathematics, Chalmers University of Technology, Göteborg, Sweden.
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Abstract

A general multi-type branching process where new individuals immigrate according to some point process is considered. An intrinsic submartingale is defined and a convergence result for processes counted with random characteristics is obtained. Some examples are given.

Keywords

GENERAL BRANCHING PROCESSMULTI-TYPEIMMIGRATION

MSC classification

Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 33 , Issue 4 , December 1996 , pp. 940 - 948
Copyright
Copyright © Applied Probability Trust 1996 

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