Bounds on the rate of convergence of moments in the central limit theorem

DOI10.1214/aop/1176993721zbMath0516.60025OpenAlexW1987565281MaRDI QIDQ1052735

Hall, Peter

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1214/aop/1176993721

zbMATH Keywords

momentsrates of convergencecentral limit theoremnorming constants

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Related Items (7)

On the Gaussian approximation of convolutions under multidimensional analogues of S. N. Bernstein's inequality conditions ⋮ Uniform integrability of the OLS estimators, and the convergence of their moments ⋮ Asymptotics of absolute moments of sums of a random number of independent random variables ⋮ Asymptotic Normality of Local Averaging Estimates for Weakly Dependent Random Fields ⋮ On the Rate of Convergence of Moments in the Central Limit Theorem for Lattice Distributions ⋮ Berry-Esseen theorems under weak dependence ⋮ Probabilistic Stirling numbers of the second kind and applications

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