Alternative Entropy Measures and Generalized Khinchin–Shannon Inequalities

The Khinchin–Shannon generalized inequalities for entropy measures in Information Theory, are a paradigm which can be used to test the Synergy of the distributions of probabilities of occurrence in physical systems. The rich algebraic structure associated with the introduction of escort probabilitie...

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Autores principales: Mondaini, Rubem P., de Albuquerque Neto, Simão C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8700260/
https://www.ncbi.nlm.nih.gov/pubmed/34945924
http://dx.doi.org/10.3390/e23121618
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author Mondaini, Rubem P.
de Albuquerque Neto, Simão C.
author_facet Mondaini, Rubem P.
de Albuquerque Neto, Simão C.
author_sort Mondaini, Rubem P.
collection PubMed
description The Khinchin–Shannon generalized inequalities for entropy measures in Information Theory, are a paradigm which can be used to test the Synergy of the distributions of probabilities of occurrence in physical systems. The rich algebraic structure associated with the introduction of escort probabilities seems to be essential for deriving these inequalities for the two-parameter Sharma–Mittal set of entropy measures. We also emphasize the derivation of these inequalities for the special cases of one-parameter Havrda–Charvat’s, Rényi’s and Landsberg–Vedral’s entropy measures.
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spelling pubmed-87002602021-12-24 Alternative Entropy Measures and Generalized Khinchin–Shannon Inequalities Mondaini, Rubem P. de Albuquerque Neto, Simão C. Entropy (Basel) Article The Khinchin–Shannon generalized inequalities for entropy measures in Information Theory, are a paradigm which can be used to test the Synergy of the distributions of probabilities of occurrence in physical systems. The rich algebraic structure associated with the introduction of escort probabilities seems to be essential for deriving these inequalities for the two-parameter Sharma–Mittal set of entropy measures. We also emphasize the derivation of these inequalities for the special cases of one-parameter Havrda–Charvat’s, Rényi’s and Landsberg–Vedral’s entropy measures. MDPI 2021-12-01 /pmc/articles/PMC8700260/ /pubmed/34945924 http://dx.doi.org/10.3390/e23121618 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Mondaini, Rubem P.
de Albuquerque Neto, Simão C.
Alternative Entropy Measures and Generalized Khinchin–Shannon Inequalities
title Alternative Entropy Measures and Generalized Khinchin–Shannon Inequalities
title_full Alternative Entropy Measures and Generalized Khinchin–Shannon Inequalities
title_fullStr Alternative Entropy Measures and Generalized Khinchin–Shannon Inequalities
title_full_unstemmed Alternative Entropy Measures and Generalized Khinchin–Shannon Inequalities
title_short Alternative Entropy Measures and Generalized Khinchin–Shannon Inequalities
title_sort alternative entropy measures and generalized khinchin–shannon inequalities
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8700260/
https://www.ncbi.nlm.nih.gov/pubmed/34945924
http://dx.doi.org/10.3390/e23121618
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