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

László Györfi; Márton Ispány; Péter Kevei; Gyula Pap

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arXiv · 1307.7917

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

László Györfi·Márton Ispány·Péter Kevei·Gyula Pap

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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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László Györfi, Márton Ispány, Péter Kevei, Gyula Pap. 2013-07-30. Asymptotic behavior of a multi-type nearly critical Galton--Watson processes with immigration. https://arxiv.org/abs/1307.7917

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