Comment on "Rényi entropy yields artifficial biases not in the data and incorrect updating due to the infinite-size data"
arXiv:1905.00729 · doi:10.1103/PhysRevE.100.026101
Abstract
In their recent paper [Phys. Rev. E 99 (2019) 032134], T. Oikinomou and B. Bagci have argued that Rényi entropy is ill-suited for inference purposes because it is not consistent with the Shore{ Johnson axioms of statistical estimation theory. In this Comment we seek to clarify the latter statement by showing that there are several issues in Oikinomou{Bagci reasonings which lead to erroneous conclusions. When all these issues are properly accounted for, no violation of Shore- Johnson axioms is found.
5 pages
References in corpus (6)
- A possible deformed algebra and calculus inspired in nonextensive thermostatistics
- Towards a relativistic statistical theory
- Conceptual Inadequacy of the Shore and Johnson Axioms for Wide Classes of Complex Systems
- The world according to Renyi: Thermodynamics of multifractal systems
- On the uniqueness theorem for pseudo-additive entropies
- Comment on "Generalized Shannon--Khinchin axioms and uniqueness theorem for pseudo-additive entropies" [Physica A 411 (2014) 138]