Berry-Esseen bound for nearly critical branching processes with immigration

Ya. Khusanbaev; S. Sharipov; V. Golomoziy

doi:10.17721/1812-5409.2019/4.5

Authors

Ya. Khusanbaev V.I.Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan, Mirzo Ulughbek str.81, 100170 Tashkent, Uzbekistan
S. Sharipov V.I.Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan, Mirzo Ulughbek str.81, 100170 Tashkent, Uzbekistan
V. Golomoziy Taras Shevchenko National University of Kyiv https://orcid.org/0000-0002-3174-9781

DOI:

https://doi.org/10.17721/1812-5409.2019/4.5

Abstract

In this paper, we consider a nearly critical branching process with immigration. We obtain the rate of convergence in central limit theorem for nearly critical branching processes with immigration.

Key words: Branching process, immigration, Esseen inequality.

Pages of the article in the issue: 42 - 49

Language of the article: English

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