Improvement of convergence rate estimates in the central limit theorem under weakened moment conditions

DOI10.1134/S1064562412040205zbMath1258.60024OpenAlexW2021797880MaRDI QIDQ1761064

V. Yu. Korolev, Sergey Popov

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412040205

Mathematics Subject Classification ID

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

Related Items

Bounds of the accuracy of the normal approximation to the distributions of random sums under relaxed moment conditions ⋮ Bounds for the Concentration Functions of Random Sums under Relaxed Moment Conditions ⋮ Esseen-Rozovskii type estimates for the rate of convergence in the Lindeberg theorem ⋮ A generalization of the Rozovskii inequality ⋮ A generalization of the Wang-Ahmad inequality ⋮ On natural convergence rate estimates in the Lindeberg theorem

Cites Work

• A limit theorem for sums of independent, nonidentically distributed random variables
• On the universal constant in the Katz-Petrov and Osipov inequalities
• Refinement of Lindeberg’s Theorem
• A Note on the Weak Law of Large Numbers
• On the Berry-Esseen theorem
• Unnamed Item