On scale and concentration invariance in entropies.
type: Item
instance of: scholarly article
title: On scale and concentration invariance in entropies.
zbMATH Open document ID: 1062.94007
DOI: 10.1016/S0020-0255(03)00058-6
author: Luc Knockaert
published in: Information Sciences
publication date: 2004-03-15T00:00:00Z
review text: The author explains the connection between the Rényi entropies and the variational and Fisher-information based entropies. He obtains many inequalities relating these entropies. It is further shown that only the Rényi entropies satisfy the property of concentration invariance and they can be written as functionals of the Shannon concentration entropy.
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 62B10
zbMATH DE Number: 2057880
zbMATH Keywords: Rényi entropy
zbMATH Keywords: Shannon entropy
zbMATH Keywords: Information
zbMATH Keywords: Invariance
reviewed by: Arjun K. Gupta
MaRDI profile type: Publication
cites work: Q3292859
cites work: Measuring time-frequency information content using the Renyi entropies
cites work: Renyi's entropy as an index of diversity in simple-stage cluster sampling
cites work: Information theoretic inequalities
cites work: Possible generalization of Boltzmann-Gibbs statistics.
full work available at URL: s0020-0255(03)00058-6
OpenAlex ID: W2166446757
description: scientific article; zbMATH DE number 2057880