Asymptotic behavior of a multi-type nearly critical Galton--Watson processes with immigration

Multi-type inhomogeneous Galton--Watson process with immigration is investigated, where the offspring mean matrix slowly converges to a critical mean matrix. Under general conditions we obtain limit distribution for the process, where the coordinates of the limit vector are not necessarily independe...

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Bibliographic Details
Published in:arXiv.org 2013-07
Main Authors: Györfi, László, Ispány, Márton, Kevei, Péter, Pap, Gyula
Format: Article
Language:English
Subjects:
Asymptotic properties
Immigration
Online Access:Get full text
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Summary:Multi-type inhomogeneous Galton--Watson process with immigration is investigated, where the offspring mean matrix slowly converges to a critical mean matrix. Under general conditions we obtain limit distribution for the process, where the coordinates of the limit vector are not necessarily independent.
ISSN:2331-8422