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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 3, Pages 592–594
DOI: https://doi.org/10.4213/tvp3908
(Mi tvp3908)
 

This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

Binomial Analogues of the Chernoff Inequality

Yu. V. Prokhorov, O. V. Viskov, V. I. Khokhlov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (317 kB) Citations (3)
Abstract: This paper establishes estimates from above for a variance of arbitrary polynomials in binomially distributed random variables similar to the Chernoff inequality.
Keywords: binomial distribution, moment inequalities, Krawtchouk polynomials, factorial-power formalism, combinatorial identities.
Received: 01.08.2001
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 3, Pages 544–547
DOI: https://doi.org/10.1137/S0040585X9797907X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. V. Prokhorov, O. V. Viskov, V. I. Khokhlov, “Binomial Analogues of the Chernoff Inequality”, Teor. Veroyatnost. i Primenen., 46:3 (2001), 592–594; Theory Probab. Appl., 46:3 (2002), 544–547
Citation in format AMSBIB
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\jour Theory Probab. Appl.
\yr 2002
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\pages 544--547
\crossref{https://doi.org/10.1137/S0040585X9797907X}
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Linking options:
  • https://www.mathnet.ru/eng/tvp3908
  • https://doi.org/10.4213/tvp3908
  • https://www.mathnet.ru/eng/tvp/v46/i3/p592
  • This publication is cited in the following 3 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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