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

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.

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Year of publication:	2013
Authors:	Asgarani, Somayeh
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 392.2013, 9, p. 1972-1976
Publisher:	Elsevier
Subject:	Generalized entropy \| Generalized incomplete Gamma function \| Nonextensive statistical mechanics

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10011058255