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A New Asymptotic Expansion and Asymptotically Best Constants in Lyapunov's Theorm. I.

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Publication:3147223
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DOI10.1137/S0040585X97978932zbMath1008.60034OpenAlexW4212947739MaRDI QIDQ3147223

Gennadiy P. Chistyakov

Publication date: 18 September 2002

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97978932


zbMATH Keywords

asymptotic expansioncharacteristic functionsLyapunov's theoremcentral limit theoremBerry-Esseen bounds


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10)


Related Items (2)

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







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