Information-theoretic inequalities for contoured probability distributions

DOI10.1109/TIT.2002.800496zbMath1062.94530MaRDI QIDQ4677555

Deane Yang, Gaoyong Zhang, Onur G. Guleryuz, Erwin Lutwak

Publication date: 11 May 2005

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Information theory (general) (94A15)

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The Brunn-Minkowski inequality ⋮ On the sine polarity and the \(L_p\)-sine Blaschke-Santaló inequality ⋮ On the analogue of the concavity of entropy power in the Brunn-Minkowski theory ⋮ Fisher information and matrix-valued valuations ⋮ Ellipsoids and matrix-valued valuations ⋮ Mixedf-divergence and inequalities for log-concave functions ⋮ Affine Fisher information inequalities ⋮ A functional Busemann intersection inequality ⋮ LYZ Matrices and SL() Contravariant Valuations on Polytopes ⋮ An integral formula for the total mean curvature matrix ⋮ On L_p intersection mean ellipsoids and affine isoperimetric inequalities

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