On the Berry-Esseen theorem for random U-statistics

DOI10.1214/aos/1176345212zbMath0463.60028OpenAlexW2093161250MaRDI QIDQ1153609

Ibrahim A. Ahmad

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1214/aos/1176345212

zbMATH Keywords

U-statisticssequential analysisBerry-Esseen theoremsupercritical Galton-Watson process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Point estimation (62F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

Strong laws for randomly indexed U-statistics ⋮ The exact approximation order in the central limit theorem for randam u–statistics ⋮ Berry-Esseen Bounds for Random Index Non Linear Statistics via Stein's Method ⋮ Sharp orders of convergence in the random central limit theorem ⋮ On Berry-Esseen theorem for some functions of \(U\)-statistics ⋮ Some asymptotic results for a broad class of nonparametric statistics ⋮ On the normal approximation of an estimate of the mean residual life of a multicomponent system

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