Rényi entropy yields artificial biases not in the data and incorrect updating due to the finite-size data

Abstract

We show that the Rényi entropy implies artificial biases not warranted by the data and incorrect updating information due to the finite-size of the data despite being additive. It is demonstrated that this is so because it does not conform to the system and subset independence axioms of Shore and Johnson. We finally show that the escort averaged constraints do not remedy the situation.

6 pages, Accepted in Phys. Rev. E (2019)

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• Quantum thermodynamics of general quantum processes
• Generalized non-additive entropies and quantum entanglement
• Correlations and diagonal entropy after quantum quenches in XXZ chains
• Towards a relativistic statistical theory
• Distance entropy cartography characterises centrality in complex networks
• Conceptual Inadequacy of the Shore and Johnson Axioms for Wide Classes of Complex Systems
• Nonextensive Reaction Rate
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