The Berry-Esseen bound for identically distributed random variables by Stein method

DOI10.1007/s11766-012-2988-3zbMath1289.60031OpenAlexW2159426161MaRDI QIDQ376841

Guang-Hui Cai

Publication date: 19 November 2013

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-012-2988-3

zbMATH Keywords

Berry-Esseen boundexchangeable pairStein method

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

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Cites Work

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• A multivariate CLT for decomposable random vectors with finite second moments
• A Berry-Esseen type inequality for convex bodies with an unconditional basis
• A new method of normal approximation
• A note on the exchangeability condition in Stein's method
• Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition
• On normal approximations to \(U\)-statistics
• Stein's method and exact Berry-Esseen asymptotics for functionals of Gaussian fields
• Poisson approximation for dependent trials
• On coupling constructions and rates in the CLT for dependent summands with applications to the antivoter model and weighted \(U\)-statistics
• Normal approximation under local dependence.
• \(L^1\) bounds in normal approximation
• A central limit theorem for convex sets
• Normal approximation for nonlinear statistics using a concentration inequality approach
• The Berry-Esseen bound for character ratios
• Two new proofs of the Erdös–Kac Theorem, with bound on the rate of convergence, by Stein's method for distributional approximations
• CLT-related large deviation bounds based on Stein's method

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