Physical symmetries and Fisher's information measure

DOI10.1016/j.physleta.2009.01.007zbMath1228.81106OpenAlexW2046862608MaRDI QIDQ653439

Bernard H. Soffer, Flavia Pennini, Christophe Vignat, Angel Plastino

Publication date: 19 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/142530

zbMATH Keywords

invariancesymmetriesFisher informationCramer-Rao

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (6)

Generalization of the Aoki-Yoshikawa sectoral productivity model based on extreme physical information principle ⋮ Information theoretic measures of uncertainty of a noncommutative anisotropic oscillator in a homogeneous magnetic field ⋮ Tsallis entropy measure of noise-aided information transmission in a binary channel ⋮ Fisher information, the Hellmann-Feynman theorem, and the Jaynes reciprocity relations ⋮ Information channel capacity in the field theory estimation ⋮ Zipf's law from a Fisher variational-principle

Cites Work

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• On scale and concentration invariance in entropies.
• Fisher information, canonical ensemble, and Hamiltonian systems
• Symmetry rules. How science and nature are founded on symmetry.
• Probability Theory
• Science from Fisher Information
• Exploratory Data Analysis Using Fisher Information
• Quantum theory: concepts and methods

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