Extensions of Fisher Information and Stam's Inequality

DOI10.1109/TIT.2011.2177563zbMath1365.94154OpenAlexW2092170739MaRDI QIDQ5272037

Gaoyong Zhang, Deane Yang, Songjun Lv, Erwin Lutwak

Publication date: 12 July 2017

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

Full work available at URL: https://doi.org/10.1109/tit.2011.2177563

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Information theory (general) (94A15) Statistical aspects of information-theoretic topics (62B10) Coding theorems (Shannon theory) (94A24)

Related Items

General Fisher information matrices of a random vector ⋮ Generalized wavelet Fisher's information of \(1 / f^\alpha\) signals ⋮ On the sine polarity and the \(L_p\)-sine Blaschke-Santaló inequality ⋮ The Centro-Affine Hadwiger Theorem ⋮ Some properties of generalized Fisher information in the context of nonextensive thermostatistics ⋮ Moment-entropy inequality for isotropic measures ⋮ The log-Minkowski inequality of curvature entropy ⋮ Gradual improvement of the \(L_p\) moment-entropy inequality ⋮ Fisher information and its extensions based on infinite mixture density functions ⋮ Optimal Sobolev norms in the affine class ⋮ Mutual Information, Fisher Information, and Efficient Coding ⋮ Entropy of chord distribution of convex bodies ⋮ New property of a generalized Hölder's inequality and its applications ⋮ A characterization of minimal Orlicz-Sobolev norms in the affine class ⋮ Covariance matrices associated to general moments of a random vector ⋮ Cramér-Rao lower bounds arising from generalized Csiszár divergences ⋮ Centro-affine tensor valuations ⋮ A functional Busemann intersection inequality ⋮ On a (β, q)-generalized Fisher information and inequalities involving q-Gaussian distributions