STEIN'S METHOD AND THE BERRY-ESSÉEN THEOREM

DOI10.1111/j.1467-842X.1984.tb01262.xzbMath0547.60031OpenAlexW2090657946MaRDI QIDQ3339025

Andrew David Barbour

Publication date: 1984

Published in: Australian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-842x.1984.tb01262.x

zbMATH Keywords

Stein's methodBerry-Esséen theoremLindeberg-Feller theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (10)

Bounds of the accuracy of the normal approximation to the distributions of random sums under relaxed moment conditions ⋮ On the proximity of sequences of probability distributions ⋮ Asymptotically optimal Berry-Esseen-type bounds for distributions with an absolutely continuous part ⋮ Bounding Kolmogorov distances through Wasserstein and related integral probability metrics ⋮ Stein's method and a quantitative Lindeberg CLT for the Fourier transforms of random vectors ⋮ Bounds for the Concentration Functions of Random Sums under Relaxed Moment Conditions ⋮ An isometric study of the Lindeberg-Feller central limit theorem via Stein's method ⋮ Approximate central limit theorems ⋮ Esseen-Rozovskii type estimates for the rate of convergence in the Lindeberg theorem ⋮ Normal approximation for mixtures of normal distributions and the evolution of phenotypic traits

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