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Mondaini RP, de Albuquerque Neto SC. Alternative Entropy Measures and Generalized Khinchin-Shannon Inequalities. Entropy (Basel). 2021;23(12)doi: 10.3390/e23121618.
Mondaini, R. P., & de Albuquerque Neto, S. C. (2021). Alternative Entropy Measures and Generalized Khinchin-Shannon Inequalities. Entropy (Basel, Switzerland), 23(12), . https://doi.org/10.3390/e23121618
Mondaini, Rubem P, and de Albuquerque Neto, Simão C. "Alternative Entropy Measures and Generalized Khinchin-Shannon Inequalities." Entropy (Basel, Switzerland) vol. 23,12 (2021). doi: https://doi.org/10.3390/e23121618
Mondaini RP, de Albuquerque Neto SC. Alternative Entropy Measures and Generalized Khinchin-Shannon Inequalities. Entropy (Basel). 2021 Dec 01;23(12). doi: 10.3390/e23121618. PMID: 34945924.
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Entropy (Basel). 2021 Dec 01;23(12). doi: 10.3390/e23121618.

Alternative Entropy Measures and Generalized Khinchin-Shannon Inequalities.

Entropy (Basel, Switzerland)

Rubem P Mondaini, Simão C de Albuquerque Neto

Affiliations

  1. COPPE, Centre of Technology, Federal University of Rio de Janeiro, Rio de Janeiro 21941-901, Brazil.

PMID: 34945924 DOI: 10.3390/e23121618

Abstract

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.

Keywords: entropy measures; probabilistic distributions; synergy

References

  1. Chaos. 2011 Sep;21(3):037103 - PubMed

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