Non-uniqueness of non-extensive entropy under Rényi's recipe

Sönke Hoffmann ()
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Sönke Hoffmann: Faculty of Economics and Management, Otto-von-Guericke University Magdeburg

No 8011, FEMM Working Papers from Otto-von-Guericke University Magdeburg, Faculty of Economics and Management

Abstract: In this note I show that Tsallis entropy (Tsallis, 1988) is not unique in the class of non-additive, selfweighted and quasilinear means. A characterization is given which disproves a result in Dukkipati et al. (2005a,b) and Dukkipati et al. (2006).

Keywords: Non-extensive entropy; Non-additivity; Quasilinear means 1 I (search for similar items in EconPapers)
Pages: 6 pages
Date: 2008-04
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