Asymptotic expansions and two-sided bounds in randomized central limit theorems

DOI10.1007/978-3-031-26300-2_3zbMATH Open1546.60044MaRDI QIDQ6608543

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

Publication date: 20 September 2024

zbMATH Keywords

central limit theoremnormal approximationtypical distributions

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Probability distributions: general theory (60E05)

Cites Work

• Title not available (Why is that?)
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• The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality
• Normal approximation for weighted sums under a second-order correlation condition
• A Berry-Esseen type inequality for convex bodies with an unconditional basis
• Concentration inequalities and limit theorems for randomized sums
• Stein's method and the zero bias transformation with application to simple random sampling
• On concentration of distributions of random weighted sums
• Isoperimetric problems for convex bodies and a localization lemma
• Berry-Esseen bounds for typical weighted sums
• Poincaré inequalities and normal approximation for weighted sums
• Gaussian mixtures and normal approximation for V. N. Sudakov's typical distributions
• Proximity of probability distributions in terms of Fourier-Stieltjes transforms
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• The central limit problem for convex bodies
• Variations on the Berry--Esseen Theorem
• Edgeworth Corrections in Randomized Central Limit Theorems
• Second-order concentration on the sphere
• On Lacunary Trigonometric Series
• On Lacunary Trigonometric Series, II
• Concentration and Gaussian Approximation for Randomized Sums

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