Yu. V. Prokhorov, O. V. Viskov, V. I. Khokhlov, “Binomial Analogues of the Chernoff Inequality”, Teor. Veroyatnost. i Primenen., 2001, Volume 46, Issue 3,Pages <nobr>592

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Short Communications

Binomial Analogues of the Chernoff Inequality

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

Steklov Mathematical Institute, Russian Academy of Sciences

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

DOI: 10.4213/tvp3908