Alternative Entropy Measures and Generalized Khinchin–Shannon Inequalities |
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Authors: | Rubem P Mondaini Simo C de Albuquerque Neto |
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Institution: | COPPE, Centre of Technology, Federal University of Rio de Janeiro, Rio de Janeiro 21941-901, Brazil; |
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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. |
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Keywords: | entropy measures synergy probabilistic distributions |
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