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Stabilities of generalized entropies

Sumiyoshi Abe·G. Kaniadakis·A. M. Scarfone
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Abstract

The generalized entropic measure, which is optimized by a given arbitrary distribution under the constraints on normalization of the distribution and the finite ordinary expectation value of a physical random quantity, is considered and its Lesche stability property (that is different from thermodynamic stability) is examined. A general condition, under which the generalized entropy becomes stable, is derived. Examples known in the literature, including the entropy for the stretched-exponential distribution, the quantum-group entropy, and the kappa-entropy are discussed.

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Sumiyoshi Abe, G. Kaniadakis, A. M. Scarfone. 2004-01-16. Stabilities of generalized entropies. https://doi.org/10.1088/0305-4470%2F37%2F44%2F004

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