Stabilities of generalized entropies

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.

16 pages, no figures

References in corpus (4)

• Statistical mechanics in the context of special relativity
• Stability of Tsallis antropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions
• Lesche Stability of $\kappa$-Entropy
• Generalized entropy optimized by an arbitrary distribution

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