Pseudo-additive Entropies of Degree-q and the Tsallis Entropy | Zendy

B. H. Lavenda | Zendy; Jeremy Dunning-Davies | Zendy

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Pseudo-additive Entropies of Degree-q and the Tsallis Entropy

Author(s) -

B. H. Lavenda,

Jeremy Dunning-Davies

Publication year - 2005

Publication title -

journal of applied sciences

Language(s) - English

Resource type - Journals

eISSN - 1812-5662

pISSN - 1812-5654

DOI - 10.3923/jas.2005.315.322

Subject(s) - additive function , tsallis entropy , mathematics , statistical physics , homogeneity (statistics) , entropy (arrow of time) , thermodynamics , degree (music) , statistics , physics , mathematical analysis , acoustics

The Tsallis entropy is shown to be an additive entropy of degree-q thatinformation scientists have been using for almost forty years. Neither is it aunique solution to the nonadditive functional equation from which randomentropies are derived. Notions of additivity, extensivity and homogeneity areclarified. The relation between mean code lengths in coding theory and variousexpressions for average entropies is discussed.Comment: 13 page

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