Concentration of normalized sums and a central limit theorem for noncorrelated random variables

DOI10.1214/009117904000000720zbMath1065.60006arXivmath/0503583OpenAlexW3100327177MaRDI QIDQ1769501

Sergey G. Bobkov

Publication date: 21 March 2005

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

Full work available at URL: https://arxiv.org/abs/math/0503583

zbMATH Keywords

concentrationLévy distancenoncorrelated random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05) Large deviations (60F10)

Related Items

Concentration inequalities and limit theorems for randomized sums, Concentration estimates for functions of finite high‐dimensional random arrays, Anticoncentration and Berry-Esseen bounds for random tensors, Concentration Inequalities for Samples without Replacement, Comparing a large number of multivariate distributions, On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities, On Bobkov’s approximate de Finetti representation via approximation of permanents of complex rectangular matrices, Generalized symmetric polynomials and an approximate de Finetti representation, Gaussian mixtures and normal approximation for V. N. Sudakov's typical distributions, Normal approximation for weighted sums under a second-order correlation condition

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