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Teoriya Veroyatnostei i ee Primeneniya, 2006, Volume 51, Issue 3, Pages 622–626
DOI: https://doi.org/10.4213/tvp46 (Mi tvp46) 		 
This article is cited in 39 scientific papers (total in 39 papers)

Short Communications

Sharpening of the upper-estimate of the absolute constant in the Berry–Esseen inequality

I. G. Shevtsova

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (594 kB) Citations (39)
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DOI: https://doi.org/10.4213/tvp46
Abstract: The upper bound of the absolute constant in the classical Berry–Esseen inequality for sums of independent identically distributed random variables with finite third moments is lowered to $C\leqslant 0.7056$.
Keywords: Berry–Esseen inequality, central limit theorem, normal approximation, convergence rate estimate.
Received: 28.06.2006
English version:
Theory of Probability and its Applications, 2007, Volume 51, Issue 3, Pages 549–553
DOI: https://doi.org/10.1137/S0040585X97982591
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. G. Shevtsova, “Sharpening of the upper-estimate of the absolute constant in the Berry–Esseen inequality”, Teor. Veroyatnost. i Primenen., 51:3 (2006), 622–626; Theory Probab. Appl., 51:3 (2007), 549–553
Citation in format AMSBIB
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    • This publication is cited in the following 39 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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