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cond-mat.stat-mechOct 1, 2008
11
citations (OpenAlex)
authors
  • Shigeru Furuichi
institutions
  • Nihon University
arXiv abstractPDF
paper

An axiomatic characterization of a two-parameter extended relative entropy

arXiv:0810.5399 · doi:10.1063/1.3525917

Abstract

The uniqueness theorem for a two-parameter extended relative entropy is proven. This result extends our previous one, the uniqueness theorem for a one-parameter extended relative entropy, to a two-parameter case. In addition, the properties of a two-parameter extended relative entropy are studied.

11 pages

References in corpus (7)

  • Fundamental properties of Tsallis relative entropy
  • Two-parameter deformations of logarithm, exponential, and entropy: A consistent framework for generalized statistical mechanics
  • Information theoretical properties of Tsallis entropies
  • Deformed logarithms and entropies
  • On uniqueness theorems for Tsallis entropy and Tsallis relative entropy
  • A two-parameter generalization of Shannon-Khinchin Axioms and the uniqueness theorem
  • On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics

Cited by in corpus (5)

  • Mathematical inequalities for some divergences
  • Inequalities related to some types of entropies and divergences
  • A two-parameter entropy and its fundamental properties
  • Characterizations of generalized entropy functions by functional equations
  • Deformed logarithms. Associated entropic divergences. Applications to linear inverse problems. Inversion algorithms
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