Moment-Entropy Inequalities for a Random Vector

DOI10.1109/TIT.2007.892780zbMath1205.94054OpenAlexW2096042755MaRDI QIDQ3548166

Erwin Lutwak, Gaoyong Zhang, Deane Yang

Publication date: 21 December 2008

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

Full work available at URL: https://doi.org/10.1109/tit.2007.892780

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Information theory (general) (94A15)

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General Fisher information matrices of a random vector ⋮ Entropy-based test for generalised Gaussian distributions ⋮ On the sine polarity and the \(L_p\)-sine Blaschke-Santaló inequality ⋮ Moment-entropy inequality for isotropic measures ⋮ Rényi entropies and nonlinear diffusion equations ⋮ Floating functions ⋮ Sharp norm estimates for functional dual affine quermassintegrals ⋮ Gradual improvement of the \(L_p\) moment-entropy inequality ⋮ Analytical properties of generalized Gaussian distributions ⋮ Entropy of chord distribution of convex bodies ⋮ Recent progresses in characterising information inequalities ⋮ New property of a generalized Hölder's inequality and its applications ⋮ Covariance matrices associated to general moments of a random vector ⋮ Affine Fisher information inequalities ⋮ The information-theoretic meaning of Gagliardo-Nirenberg type inequalities ⋮ On a (β, q)-generalized Fisher information and inequalities involving q-Gaussian distributions

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