On the bound of proximity of the binomial distribution to the normal one
Сергей Викторович Нагаев, V. I. Chebotarev · Doklady Mathematics · 2011
Bounds for the error of the Gaussian approximation for the binomial distribution are stated, depending from the probability of success and the number of observations. As a consequence, the upper bound for a constant in the Berry-Esseen inequality is deduced which differs from asymptotical one slightly more than 0.01.