A set of new three-parameter entropies in terms of a generalized incomplete Gamma function

Somayeh Asgarani

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 9, 1972-1976

Abstract: In this paper, by considering the first three Khinchin axioms (K1–K3) and neglecting the fourth (K4), a set of new three-parameter entropies will be introduced which are expressed in terms of a generalized incomplete Gamma function as Sd,c1,c2[p]∝∑iΓ(d+1,1−c1lnpi,1−c2lnpi). Also, its asymptotic behavior will be found and it will be shown that, for some special values of parameters, some known entropies like Tsallis, Kaniadakis and Abe entropies are recovered.

Keywords: Generalized entropy; Generalized incomplete Gamma function; Nonextensive statistical mechanics (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:9:p:1972-1976

DOI: 10.1016/j.physa.2012.12.018

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