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Teoriya Veroyatnostei i ee Primeneniya, 2007, Volume 52, Issue 3, Pages 610–617
DOI: https://doi.org/10.4213/tvp82 (Mi tvp82) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Short Communications

On the normal approximation to symmetric binomial distributions

Ch. Hippa, L. Mattnerb

a Universität Karlsruhe
b University Lübeck
Full-text PDF (784 kB) Citations (18)
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DOI: https://doi.org/10.4213/tvp82
Abstract: 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: binomial distribution, central limit theorem, optimal error bound, symmetric Bernoulli variables.
Received: 04.05.2006
English version:
Theory of Probability and its Applications, 2008, Volume 52, Issue 3, Pages 516–523
DOI: https://doi.org/10.1137/S0040585X97983213
Bibliographic databases:
Document Type: Article
Language: English
Citation: Ch. Hipp, L. Mattner, “On the normal approximation to symmetric binomial distributions”, Teor. Veroyatnost. i Primenen., 52:3 (2007), 610–617; Theory Probab. Appl., 52:3 (2008), 516–523
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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