An Improvement of Convergence Rate Estimates in the Central Limit Theorem under Absence of Moments Higher than the Second

DOI10.1137/S0040585X97985704zbMath1260.60037MaRDI QIDQ4907614

V. Yu. Korolev, Sergey Popov

Publication date: 4 February 2013

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

central limit theoremconvergence rate estimatesOsipov inequality

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (5)

Bounds of the accuracy of the normal approximation to the distributions of random sums under relaxed moment conditions ⋮ A refinement of non-uniform estimates of the rate of convergence in the central limit theorem under the existence of moments of orders no higher than two ⋮ Refinements of Berry-Esseen inequalities in terms of Lyapunov coefficients ⋮ 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

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