On Senatov Moments in Asymptotic Expansions in the Central Limit Theorem

DOI10.1137/S0040585X97T990824zbMath1492.60060OpenAlexW4229002490WikidataQ113778960 ScholiaQ113778960MaRDI QIDQ5074428

V. N. Sobolev, A. E. Kondratenko

Publication date: 9 May 2022

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

Full work available at URL: https://doi.org/10.1137/s0040585x97t990824

zbMATH Keywords

asymptotic expansionscentral limit theoremGram-Charlier expansionsEdgeworth-Cramér expansionsSenatov momentsSenatov quasi-moments

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (1)

Asymptotic expansions in the CLT containing the last known moment in the main part

Cites Work

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• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• The Relation Between a Rate of Convergence of Moments of Normed Sums and the Chebyshev-Hermite Models
• New Forms of Asymptotic Expansions in the Central Limit Theorem

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