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Informatika i Ee Primeneniya [Informatics and its Applications], 2010, Volume 4, Issue 2, Pages 75–82 (Mi ia29)  
This article is cited in 6 scientific papers (total in 6 papers)

An improvement of the Katz–Berry–Esseen inequality

M. E. Grigor'eva, I. G. Shevtsova

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
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Abstract: The upper estimates of the absolute constant in the Katz–Berry–Esseen inequality for sums of independent identically distributed random variables with finite absolute moments of order between 2 and 3 are sharpened and an alternative inequality with sharpened structure and evaluated constants is proposed.
Keywords: central limit theorem; Katz–Berry–Esseen inequality; Lyapounov fraction.
Document Type: Article
Language: Russian
Citation: M. E. Grigor'eva, I. G. Shevtsova, “An improvement of the Katz–Berry–Esseen inequality”, Inform. Primen., 4:2 (2010), 75–82
Citation in format AMSBIB
\Bibitem{GriShe10}
\by M.~E.~Grigor'eva, I.~G.~Shevtsova
\paper An improvement of the Katz--Berry--Esseen inequality
\jour Inform. Primen.
\yr 2010
\vol 4
\issue 2
\pages 75--82
\mathnet{http://mi.mathnet.ru/ia29}
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  • https://www.mathnet.ru/eng/ia/v4/i2/p75
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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