Asymptotic fluctuations in supercritical Crump-Mode-Jagers processes

DOI10.1214/24-AOP1697zbMATH Open1544.60085MaRDI QIDQ6581185

Alexander Iksanov, Matthias Meiners, Konrad Kolesko

Publication date: 30 July 2024

Published in: The Annals of Probability (Search for Journal in Brave)

zbMATH Keywords

Laplace transformcentral limit theoremasymptotic fluctuationssupercritical Crump-Mode-Jagers processgeneral branching process (counted with a random characteristic)Nerman's Martingale

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Martingales with continuous parameter (60G44) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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