NDLI: Multitype branching processes with inhomogeneous Poisson immigration

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Multitype branching processes with inhomogeneous Poisson immigration

Content Provider	Scilit
Author	Mitov, Kosto V. Yanev, Nikolay M. Hyrien, Ollivier
Copyright Year	2018
Description	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.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/AD80F97EF91FA00358B06D300A04512D/S0001867818000812a.pdf/div-class-title-multitype-branching-processes-with-inhomogeneous-poisson-immigration-div.pdf
Ending Page	228
Page Count	18
Starting Page	211
ISSN	00018678
e-ISSN	14756064
DOI	10.1017/apr.2018.81
Journal	Advances in Applied Probability
Issue Number	A
Volume Number	50
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2018-12-01
Access Restriction	Open
Subject Keyword	Advances in Applied Probability Multitype Branching Process Inhomogeneous Poisson Process Limit Distribution Primary 60j80 Secondary 60f05
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistics and Probability

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