Comment on "Generalized Shannon--Khinchin axioms and uniqueness theorem for pseudo-additive entropies" [Physica A 411 (2014) 138]

Abstract

Recently in [Physica A 411 (2014) 138] Ilić and Stanković have suggested that there may be problem for the class of hybrid entropies introduced in [P.~Jizba and T.~Arimitsu, Physica A 340 (2004) 110]. In this Comment we point out that the problem can be traced down to the $q$-additive entropic chain rule and to a peculiar behavior of the DeFinetti--Kolmogorov relation for escort distributions. However, despite this, one can still safely use the proposed hybrid entropies in most of the statistical-thermodynamics considerations.

References in corpus (6)

• A possible deformed algebra and calculus inspired in nonextensive thermostatistics
• When do generalized entropies apply? How phase space volume determines entropy
• Generalized Shannon-Khinchin Axioms and Uniqueness Theorem for Pseudo-additive Entropies
• On q-non-extensive statistics with non-Tsallisian entropy
• Generalized statistics: yet another generalization
• Comments on "On q-non-extensive statistics with non-Tsallisian entropy"

Cited by in corpus (4)

• On Statistical Properties of Jizba-Arimitsu Hybrid Entropy
• Rescaling the nonadditivity parameter in Tsallis thermostatistics
• On the uniqueness theorem for pseudo-additive entropies
• Comment on "Rényi entropy yields artifficial biases not in the data and incorrect updating due to the infinite-size data"