Variations on the Berry--Esseen Theorem

DOI10.1137/S0040585X97985522zbMath1285.60018arXiv1002.3970MaRDI QIDQ4925381

Sasha Sodin, Bo'az Klartag

Publication date: 12 June 2013

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3970

zbMATH Keywords

Gaussian distributioncentral limit theoremBerry-Esseen theorem

Mathematics Subject Classification ID

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

Related Items (16)

A note on the rate of convergence in the Boolean central limit theorem ⋮ Inference via randomized test statistics ⋮ Asymptotic analysis of symmetric functions ⋮ Second-order concentration on the sphere ⋮ Variations and extensions of the Gaussian concentration inequality, Part I ⋮ Faster convergence in the free central limit theorem ⋮ Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-balls ⋮ A multivariate CLT for weighted sums with rate of convergence of order \(O(1/n)\) ⋮ Polynomial Propagation of Moments in Stochastic Differential Equations ⋮ Refinements of Berry-Esseen inequalities in terms of Lyapunov coefficients ⋮ Edgeworth Corrections in Randomized Central Limit Theorems ⋮ Higher order concentration of measure ⋮ Berry-Esseen bounds for typical weighted sums ⋮ Central limit theorem and Diophantine approximations ⋮ Poincaré inequalities and normal approximation for weighted sums ⋮ Normal approximation for weighted sums under a second-order correlation condition

This page was built for publication: Variations on the Berry--Esseen Theorem