Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space

DOI10.1016/j.jmva.2006.01.010zbMath1113.60011OpenAlexW2010034808MaRDI QIDQ855919

S. A. Bogatyrev, Vladimir V. Ulyanov, Friedrich Götze

Publication date: 7 December 2006

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2006.01.010

zbMATH Keywords

Hilbert spacecentral limit theoremEdgeworth expansionscovariance operatorGaussian approximation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (3)

Explicit rates of approximation in the CLT for quadratic forms ⋮ High-dimensional central limit theorems by Stein's method ⋮ Uniform rates of approximation by short asymptotic expansions in the CLT for quadratic forms

Cites Work

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