Gaussian fluctuations and a law of the iterated logarithm for Nerman's martingale in the supercritical general branching process

DOI10.1214/21-EJP727zbMath1483.60127arXiv2005.05119OpenAlexW4206603087MaRDI QIDQ2076597

Aleksander M. Iksanov, Matthias Meiners, Konrad Kolesko

Publication date: 22 February 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05119

zbMATH Keywords

functional central limit theoremlaw of the iterated logarithmasymptotic fluctuationsNerman's martingalesupercritical general branching process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

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