On the accuracy of the normal approximation for sums of symmetric independent random variables

DOI10.1134/S1064562412020354zbMath1268.60028OpenAlexW2003152702MaRDI QIDQ1761004

I. G. Shevtsova

Publication date: 15 November 2012

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

Full work available at URL: https://doi.org/10.1134/s1064562412020354

zbMATH Keywords

central limit theoremasymptotic estimatessymmetric distributionKolmogorov metric

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Distribution theory (60E99)

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Cites Work

• Asymptotically proper constants in the Lyapunov theorem
• On the asymptotical behavior of the constant in the Berry-Esseen inequality
• A New Asymptotic Expansion and Asymptotically Best Constants in Lyapunov's Theorm. I.
• On the Asymptotically Exact Constants in the Berry–Esseen–Katz Inequality

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