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

Published 30 Jul 2013 in math.PR | (1307.7917v1)

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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