Geometry of distributions associated with Tsallis statistics and properties of relative entropy minimization
type: Item
instance of: scholarly article
title: Geometry of distributions associated with Tsallis statistics and properties of relative entropy minimization
zbMATH Open document ID: 1209.82003
author: Atsumi Ohara
published in: Physics Letters. A
publication date: 2011-04-19T00:00:00Z
Mathematics Subject Classification ID: 82B03
zbMATH DE Number: 5879963
zbMATH Keywords: information geometry
zbMATH Keywords: nonextensive statistics
zbMATH Keywords: constant curvature
zbMATH Keywords: relative entropy minimization
MaRDI profile type: Publication
full work available at URL: j.physleta.2007.05.104
OpenAlex ID: W2068889624
cites work: Possible generalization of Boltzmann-Gibbs statistics.
cites work: What should a statistical mechanics satisfy to reflect nature?
cites work: Information gain within nonextensive thermostatistics
cites work: H-Theorem with Generalized Relative Entropies and the Tsallis Statistics
cites work: Implications of Form Invariance to the Structure of Nonextensive Entropies
cites work: A directed-divergence function of type β
cites work: On measures of information and their characterizations
cites work: Q5529067
cites work: Second order efficiency of minimum contrast estimators in a curved exponential family
cites work: Differential-geometrical methods in statistics
cites work: Q4527387
cites work: Q3943797
cites work: Q3657182
cites work: Riemannian geometry and stability of thermodynamical equilibrium systems
cites work: Escort Density Operators and Generalized Quantum Information Measures
cites work: On the divergence of 1-conformally flat statistical manifolds
cites work: 1-conformally flat statistical submanifolds
cites work: The \(p\)-sphere and the geometric substratum of power-law probability distributions
DOI: 10.1016/J.PHYSLETA.2007.05.104
description: scientific article; zbMATH DE number 5879963