Stabilities of generalized entropies

Abstract

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