Geodesic
Sharpening of the upper-estimate of the absolute constant in the Berry–Esseen inequality
Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 3, pp. 622-626 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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I. G. Shevtsova. Sharpening of the upper-estimate of the absolute constant in the Berry–Esseen inequality. Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 3, pp. 622-626. http://geodesic.mathdoc.fr/item/TVP_2006_51_3_a13/

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