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Multitype branching processes with inhomogeneous Poisson immigration
Published online by Cambridge University Press: 01 February 2019
Abstract
In this paper we introduce multitype branching processes with inhomogeneous Poisson immigration, and consider in detail the critical Markov case when the local intensity r(t) of the Poisson random measure is a regularly varying function. Various multitype limit distributions (conditional and unconditional) are obtained depending on the rate at which r(t) changes with time. The asymptotic behaviour of the first and second moments, and the probability of nonextinction are investigated.
- Type
- Original Article
- Information
- Advances in Applied Probability , Volume 50 , Issue A: Branching and Applied Probability , December 2018 , pp. 211 - 228
- Copyright
- Copyright © Applied Probability Trust 2018
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