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On Transient Phenomena in Branching Random Processes with Discrete Time

Sh. K. FormanovV.I. Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, UzbekistanSh. Yu. JurayevV.I. Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, Uzbekistan
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In this paper, the estimates of the rate of convergence in transient phenomena are obtained for branching random processes. Simple proofs of well-known lemmas are given and new limit theorems for branching random processes for $$A\to 1$$ as $$n\to\infty$$ are proved.

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