Some intersection theorems for ordered sets and graphs
Journal of Combinatorial Theory Series A
Cores of cooperative games in information theory
EURASIP Journal on Wireless Communications and Networking - Theory and Applications in Multiuser/Multiterminal Communications
The rate-distortion function for the quadratic Gaussian CEO problem
IEEE Transactions on Information Theory
On characterization of entropy function via information inequalities
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Generalized Entropy Power Inequalities and Monotonicity Properties of Information
IEEE Transactions on Information Theory
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It is shown that the entropy power of a sum of independent random vectors, seen as a set function, is fractionally superadditive. This resolves a conjecture of the first author and A. R. Barron, and implies in particular all previously known entropy power inequalities for independent random variables. It is also shown that, for general dimension, the entropy power of a sum of independent random vectors is not supermodular.