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On the asymptotic behavior of branching processes with stationary immigration

Yakubjan KhusanbaevNational University of Uzbekistan: Mathematics and Natural SciencesSadulla Sharipov
ABI

Abstract

In this paper, we consider nearly critical branching processes with immigration. We study the convergence of a sequence of nearly critical branching processes with immigration when immigration is a stationary in wide sense. Moreover, we derive an asymptotic for characteristic function of this process.

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