On convergence rate in CLT for smooth distributions

DOI10.1007/s10958-016-3218-yzbMath1380.60036OpenAlexW2560615848MaRDI QIDQ521129

I. G. Shevtsova

Publication date: 6 April 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-3218-y

zbMATH Keywords

central limit theoremindependent identically distributed random variablesLyapunov fraction

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (1)

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Cites Work

• A square bias transformation of probability distributions: some properties and applications
• On the accuracy of the approximation of the complex exponent by the first terms of its Taylor expansion with applications
• Structural improvements of nonuniform convergence rate estimates in the central limit theorem with applications to Poisson random sums
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• [https://portal.mardi4nfdi.de/wiki/Publication:3893039 On the constant in the nonuniform version of the Berry-Ess�en theorem]
• On the analytical structure of the constant in the nonuniform version of the esseen inequality
• Selected Topics in Characteristic Functions
• On Nonuniform Convergence Rate Estimates in the Central Limit Theorem
• Some Limit Theorems for Large Deviations
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