Volume 4,  Issue 5, 2003

Article 93

AN ENTROPY POWER INEQUALITY FOR THE BINOMIAL FAMILY

PETER HARREMOËS AND CHRISTOPHE VIGNAT

DEPARTMENT OF MATHEMATICS,
UNIVERSITY OF COPENHAGEN,
UNIVERSITETSPARKEN 5, 
2100 COPENHAGEN, DENMARK.
E-Mail: moes@math.ku.dk

UNIVERSITY OF COPENHAGEN AND UNIVERSITÉ DE MARNE LA VALLÉE,
77454 MARNE LA VALLÉE 
CEDEX 2, FRANCE.
E-Mail: vignat@univ-mlv.fr

Received 03 April, 2003; Accepted 21 October, 2003.
Communicated by: S.S. Dragomir

ABSTRACT.   In this paper, we prove that the classical Entropy Power Inequality, as derived in the continuous case, can be extended to the discrete family of binomial random variables with parameter 1/2.
Key words:
Entropy Power Inequality, Discrete random variable.

2000 Mathematics Subject Classification:
94A17.

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