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On the Normal Approximation to Symmetric Binomial Distributions

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Publication:3532126
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DOI10.1137/S0040585X97983213zbMath1149.60016OpenAlexW1997866135MaRDI QIDQ3532126

Christian Hipp, Lutz Mattner

Publication date: 3 November 2008

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

Full work available at URL: https://doi.org/10.1137/s0040585x97983213


zbMATH Keywords

central limit theorembinomial distributionoptimal error boundsymmetric Bernoulli variables


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)


Related Items (8)

Rates of convergence in normal approximation under moment conditions via new bounds on solutions of the Stein equation ⋮ Guessing about Guessing: Practical Strategies for Card Guessing with Feedback ⋮ 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 ⋮ Test martingales, Bayes factors and \(p\)-values ⋮ The Kolmogorov distance between the binomial and Poisson laws: efficient algorithms and sharp estimates ⋮ An elementary approach to subdiffusion ⋮ An optimal Berry-Esseen type theorem for integrals of smooth functions




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