Exact convergence rate in central limit theorem for a supercritical branching process with immigration in a random environment

Yingqiu Li, Xinping Tang and Hesong Wang

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 23, 8412-8427

Abstract: Let {Zn} be a supercritical branching process with immigration in an independent, identically distributed(i.i.d.) environment ξ. The Berry-Esseen bound for log⁡Zn has been established by Wang et al. (2021). To refine that, under the less restrictive moment conditions, we calculate the exact convergence rate in the central limit theorem for log⁡Zn under the annealed law.

Date: 2024
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DOI: 10.1080/03610926.2023.2288792

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