Logarithmic Sobolev Inequalities for Information Measures

DOI10.1109/TIT.2009.2018179zbMath1367.94135OpenAlexW2125002802MaRDI QIDQ4975878

Christos P. Kitsos, Nikolaos K. Tavoularis

Publication date: 8 August 2017

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

Full work available at URL: https://doi.org/10.1109/tit.2009.2018179

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

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General Fisher information matrices of a random vector ⋮ Generalized Information Criteria for the Best Logit Model ⋮ Generalized information for the \(\gamma\)-order normal distribution ⋮ On the generalized lognormal distribution ⋮ Inequalities in Statistics and Information Measures ⋮ Covariance matrices associated to general moments of a random vector ⋮ Generalizations of Entropy and Information Measures ⋮ Information divergence and the generalized normal distribution: a study on symmetricity ⋮ Identifying the computational problem in applied statistics ⋮ Inequalities for the Fisher’s Information Measures ⋮ On a (β, q)-generalized Fisher information and inequalities involving q-Gaussian distributions

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