The entropy power of a sum is fractionally superadditive
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[1] Antonia Maria Tulino,et al. Monotonic Decrease of the Non-Gaussianness of the Sum of Independent Random Variables: A Simple Proof , 2006, IEEE Transactions on Information Theory.
[2] Sang Joon Kim,et al. A Mathematical Theory of Communication , 2006 .
[3] Mokshay Madiman,et al. On the entropy of sums , 2008, 2008 IEEE Information Theory Workshop.
[4] Mokshay M. Madiman,et al. Cores of Cooperative Games in Information Theory , 2008, EURASIP J. Wirel. Commun. Netw..
[5] L. Ozarow,et al. On a source-coding problem with two channels and three receivers , 1980, The Bell System Technical Journal.
[6] Mokshay M. Madiman,et al. Generalized Entropy Power Inequalities and Monotonicity Properties of Information , 2006, IEEE Transactions on Information Theory.
[7] Olivier Rioul. A Simple Proof of the Entropy-Power Inequality via Properties of Mutual Information , 2007, 2007 IEEE International Symposium on Information Theory.
[8] Te Sun Han. Nonnegative Entropy Measures of Multivariate Symmetric Correlations , 1978, Inf. Control..
[9] Mokshay Madiman,et al. The Monotonicity of Information in the Central Limit Theorem and Entropy Power Inequalities , 2006, 2006 IEEE International Symposium on Information Theory.
[10] A. J. Stam. Some Inequalities Satisfied by the Quantities of Information of Fisher and Shannon , 1959, Inf. Control..
[11] Max H. M. Costa,et al. On the Gaussian interference channel , 1985, IEEE Trans. Inf. Theory.
[12] A. Barron. ENTROPY AND THE CENTRAL LIMIT THEOREM , 1986 .
[13] Mokshay M. Madiman,et al. Information Inequalities for Joint Distributions, With Interpretations and Applications , 2008, IEEE Transactions on Information Theory.
[14] Fuzhen Zhang. Matrix Theory: Basic Results and Techniques , 1999 .
[15] Fan Chung Graham,et al. Some intersection theorems for ordered sets and graphs , 1986, J. Comb. Theory, Ser. A.
[16] Satoru Fujishige,et al. Polymatroidal Dependence Structure of a Set of Random Variables , 1978, Inf. Control..
[17] D. M. Topkis. Supermodularity and Complementarity , 1998 .
[18] Yasutada Oohama,et al. The Rate-Distortion Function for the Quadratic Gaussian CEO Problem , 1998, IEEE Trans. Inf. Theory.
[19] K. Ball,et al. Solution of Shannon's problem on the monotonicity of entropy , 2004 .
[20] Richard D. Gill,et al. An algorithmic and a geometric characterization of Coarsening At Random , 2005, ArXiv.
[21] P. Macilwaine,et al. Basic results and techniques , 1984 .
[22] J. Kahn,et al. On the number of copies of one hypergraph in another , 1998 .
[23] Zhen Zhang,et al. On Characterization of Entropy Function via Information Inequalities , 1998, IEEE Trans. Inf. Theory.
[24] Patrick P. Bergmans,et al. A simple converse for broadcast channels with additive white Gaussian noise (Corresp.) , 1974, IEEE Trans. Inf. Theory.