Geodesic
On the normal approximation to symmetric binomial distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 52 (2007) no. 3, pp. 610-617 Cet article a éte moissonné depuis la source Math-Net.Ru

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The optimal constant over the square root of $n$ error bound in the central limit theorem for distribution functions of sums of independent symmetric Bernoulli random variables is $1/\sqrt{2\pi n}$.
Keywords: central limit theorem, optimal error bound, symmetric Bernoulli variables.
Mots-clés : binomial distribution 
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Ch. Hipp; L. Mattner. On the normal approximation to symmetric binomial distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 52 (2007) no. 3, pp. 610-617. http://geodesic.mathdoc.fr/item/TVP_2007_52_3_a11/

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