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arxiv: 1307.7917 · v1 · pith:EKX4PEWDnew · submitted 2013-07-30 · 🧮 math.PR

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

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keywords criticalgalton--watsonimmigrationlimitmatrixmeanmulti-typeprocess
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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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