Quenched convergence rates for a supercritical branching process in a random environment

Xiaoyue Zhang and Wenming Hong

Statistics & Probability Letters, 2022, vol. 181, issue C

Abstract: Let (Zn)n∈N be a supercritical branching process in a stationary and ergodic environment ξ. For almost every environment ξ, we give two kinds of convergence rates for the normalized population Wn=Zn/Eξ(Zn) to its limit W under the quenched law.

Keywords: Branching process; Random environment; Martingale; Convergence rates; Almost sure convergence (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spl.2021.109279

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