Khinchin–Shannon Generalized Inequalities for “Non-additive” Entropy Measures

Rubem P. Mondaini () and Simão C. de Albuquerque Neto
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Rubem P. Mondaini: Centre of Technology, COPPE, Federal University of Rio de Janeiro
Simão C. de Albuquerque Neto: Centre of Technology, COPPE, Federal University of Rio de Janeiro

A chapter in Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, 2019, pp 177-190 from Springer

Abstract: Abstract Some useful inequalities have been derived by Shannon and rederived by Khinchin which apply to finite probability spaces composed by elementary events. Our fundamental aim here is the study of “non-additive” entropy measures calculated from probabilities of occurrence of amino acids in protein domain families (PDF). These generalized inequalities will provide useful results as the information on the evolution of PDFs is concerned.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-23433-1_13

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DOI: 10.1007/978-3-030-23433-1_13

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