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

Author

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  • Sönke Hoffmann

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

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).

Suggested Citation

  • Sönke Hoffmann, 2008. "Non-uniqueness of non-extensive entropy under Rényi's recipe," FEMM Working Papers 08011, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    • Handle: RePEc:mag:wpaper:08011
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    File URL: http://www.ww.uni-magdeburg.de/fwwdeka/femm/a2008_Dateien/2008_11.pdf
    File Function: First version, 2008
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