Gaussian mixtures and normal approximation for V. N. Sudakov's typical distributions

DOI10.1007/s10958-019-04244-7zbMath1478.60072OpenAlexW2939402563WikidataQ128204185 ScholiaQ128204185MaRDI QIDQ2313788

Sergey G. Bobkov, Gennadiy P. Chistyakov, Friedrich Götze

Publication date: 23 July 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04244-7

zbMATH Keywords

Gaussian mixturesSudakov's theorem

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items

Poincaré inequalities and normal approximation for weighted sums ⋮ Normal approximation for weighted sums under a second-order correlation condition

Cites Work

• Sudakov's typical marginals, random linear functionals and a conditional central limit theorem
• A Berry-Esseen type inequality for convex bodies with an unconditional basis
• Concentration inequalities and limit theorems for randomized sums
• Power-law estimates for the central limit theorem for convex sets
• Gaussian marginals of convex bodies with symmetries
• Concentration of normalized sums and a central limit theorem for noncorrelated random variables
• On concentration of distributions of random weighted sums
• Pointwise estimates for marginals of convex bodies
• A central limit theorem for convex sets
• The central limit problem for convex bodies
• On the Central Limit Theorem along Subsequences of Noncorrelated Observations
• Tail-Sensitive Gaussian Asymptotics for Marginals of Concentrated Measures in High Dimension
• Uniform almost sub-Gaussian estimates for linear functionals on convex sets
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