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

2013/07/30 by Györfi, László, Ispány, Márton, Kevei, Péter +1
#60J27 #60J80 #60J85 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1307.7917

Abstract

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.

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