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CORR
2006
Springer
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13 years 4 months ago
Generalized Entropy Power Inequalities and Monotonicity Properties of Information
New families of Fisher information and entropy power inequalities for sums of independent random variables are presented. These inequalities relate the information in the sum of n ...
Mokshay M. Madiman, Andrew R. Barron
CORR
2010
Springer
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13 years 4 months ago
Fractional generalizations of Young and Brunn-Minkowski inequalities
A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for...
Sergey Bobkov, Mokshay M. Madiman, Liyao Wang