On the universal constant in the Katz-Petrov and Osipov inequalities

DOI10.7151/DMPS.1138zbMath1258.60025OpenAlexW2033624794MaRDI QIDQ4648816

V. Yu. Korolev, Sergey Popov

Publication date: 16 November 2012

Published in: Discussiones Mathematicae Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/01e00dc9cd2fa3c025ecce8141b8c9f6fb2c2ae4

zbMATH Keywords

central limit theoremconvergence rate estimateabsolute constantKatz-Petrov inequalityOsipov inequality

Mathematics Subject Classification ID

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

Related Items (3)

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

This page was built for publication: On the universal constant in the Katz-Petrov and Osipov inequalities