On the Bound of Proximity of the Binomial Distribution to the Normal One

DOI10.1137/S0040585X97985364zbMath1260.60038MaRDI QIDQ4905010

Sergei Nagaev, Vladimir I. Chebotarev

Publication date: 14 February 2013

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

smoothing methoderror in the Moivre-Laplace integral theoremleast value of an absolute constant in the Berry-Esseen inequality

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (6)

A non-uniform bound of the remainder term in the central limit theorem for Bernoulli random variables ⋮ On a bound of the absolute constant in the Berry-Esseen inequality for i.i.d. Bernoulli random variables ⋮ On normal approximations to symmetric hypergeometric laws ⋮ Convergence of optimal expected utility for a sequence of binomial models ⋮ On the bound of proximity of the binomial distribution to the normal one ⋮ On large deviations for sums of i.i.d. Bernoulli random variables

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