Geodesic
Binomial Analogues of the Chernoff Inequality
Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 3, pp. 592-594

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This paper establishes estimates from above for a variance of arbitrary polynomials in binomially distributed random variables similar to the Chernoff inequality.
Mots-clés : binomial distribution, Krawtchouk polynomials
Keywords: moment inequalities, factorial-power formalism, combinatorial identities. 
@article{TVP_2001_46_3_a15,
     author = {Yu. V. Prokhorov and O. V. Viskov and V. I. Khokhlov},
     title = {Binomial {Analogues} of the {Chernoff} {Inequality}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {592--594},
     publisher = {mathdoc},
     volume = {46},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2001_46_3_a15/}
}
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Yu. V. Prokhorov; O. V. Viskov; V. I. Khokhlov. Binomial Analogues of the Chernoff Inequality. Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 3, pp. 592-594. http://geodesic.mathdoc.fr/item/TVP_2001_46_3_a15/