Refinements of Berry–Esseen Inequalities in Terms of Lyapunov Coefficients

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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Bibliographic Details
Published in:The Journal of fourier analysis and applications 2023-12, Vol.29 (6), Article 72
Main Author: Bobkov, Sergey G.
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Approximations and Expansions
Distribution (Probability theory)
Fourier Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Partial Differential Equations
Signal,Image and Speech Processing
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Description
Summary:We discuss some variants of the Berry–Esseen inequality in terms of Lyapunov coefficients which may provide sharp rates of normal approximation.
ISSN:1069-5869
1531-5851
DOI:10.1007/s00041-023-10054-y