Refinements of Berry–Esseen Inequalities in Terms of Lyapunov Coefficients

Sergey G. Bobkov

doi:10.1007/s00041-023-10054-y

Refinements of Berry–Esseen Inequalities in Terms of Lyapunov Coefficients

Sergey G. Bobkov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss some variants of the Berry–Esseen inequality in terms of Lyapunov coefficients which may provide sharp rates of normal approximation.

Original language	English (US)
Article number	72
Journal	Journal of Fourier Analysis and Applications
Volume	29
Issue number	6
DOIs	https://doi.org/10.1007/s00041-023-10054-y
State	Published - Dec 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Berry–Esseen inequality
Central limit theorem
Fourier–Stieltjes transform

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title = "Refinements of Berry–Esseen Inequalities in Terms of Lyapunov Coefficients",

abstract = "We discuss some variants of the Berry–Esseen inequality in terms of Lyapunov coefficients which may provide sharp rates of normal approximation.",

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Refinements of Berry–Esseen Inequalities in Terms of Lyapunov Coefficients

Abstract

Bibliographical note

Keywords

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