On the bound of proximity of the binomial distribution to the normal one

DOI10.1134/S1064562411010030zbMath1233.60015MaRDI QIDQ656223

Vladimir I. Chebotarev, Sergei Nagaev

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05)

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On a bound of the absolute constant in the Berry-Esseen inequality for i.i.d. Bernoulli random variables ⋮ On the real accuracy of approximation in the central limit theorem. II ⋮ Formation of similarity-reflecting binary vectors with random binary projections

Cites Work

• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• On the remainder in the central limit theorem
• On the Bound of Proximity of the Binomial Distribution to the Normal One
• Bounds for the Central Limit Theorem Error
• A sharpening of the inequality of Berry-Esseen
• An application of Fourier methods to the problem of sharpening the Berry-Esseen inequality

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