Asymptotically proper constants in the Lyapunov theorem

DOI10.1007/BF02364834zbMath0926.60025MaRDI QIDQ1291995

Gennadiy P. Chistyakov

Publication date: 13 July 1999

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

zbMATH Keywords

Berry-Esseen inequalitynon-identically distributed random variablesLyapunov central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (3)

On the accuracy of the normal approximation for sums of independent random variables ⋮ On the accuracy of the normal approximation for sums of symmetric independent random variables ⋮ An optimal Berry-Esseen type theorem for integrals of smooth functions

Cites Work

• On the asymptotical behavior of the constant in the Berry-Esseen inequality
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
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