An axiomatic characterization of a two-parameter extended relative entropy

DOI10.1063/1.3525917zbMath1314.94027arXiv0810.5399OpenAlexW1970786038MaRDI QIDQ5255499

Shigeru Furuichi

Publication date: 15 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.5399

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Coding theorems (Shannon theory) (94A24)

Related Items (5)

Inequalities related to some types of entropies and divergences ⋮ Equivalence of partition functions leads to classification of entropies and means ⋮ Refined estimations for some types of entropies and divergences ⋮ Characterizations of generalized entropy functions by functional equations ⋮ A two-parameter entropy and its fundamental properties

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• On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics
• $\alpha$-Divergence Is Unique, Belonging to Both $f$-Divergence and Bregman Divergence Classes

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