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Entropy 2015, 17(7), 5043-5046; doi:10.3390/e17075043

Reply to C. Tsallis’ “Conceptual Inadequacy of the Shore and Johnson Axioms for Wide Classes of Complex Systems”

1
Department of Physics, Indiana Univ.-Purdue Univ. Indianapolis, Indianapolis, IN 46202, USA
2
Department of Physics and Astronomy, University of Denver, Denver, CO 80208, USA
3
Department of Bioinformatics, Soongsil University, Seoul 156-743, Korea
4
Laufer Center for Physical and Quantitative Biology and Departments of Physics and Chemistry, Stony Brook University, Stony Brook, NY 11794, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Kevin H. Knuth
Received: 7 June 2015 / Revised: 14 July 2015 / Accepted: 14 July 2015 / Published: 17 July 2015
(This article belongs to the Section Complexity)
View Full-Text   |   Download PDF [141 KB, uploaded 17 July 2015]

Abstract

In a recent PRL (2013, 111, 180604), we invoked the Shore and Johnson axioms which demonstrate that the least-biased way to infer probability distributions fpig from data is to maximize the Boltzmann-Gibbs entropy. We then showed which biases are introduced in models obtained by maximizing nonadditive entropies. A rebuttal of our work appears in entropy (2015, 17, 2853) and argues that the Shore and Johnson axioms are inapplicable to a wide class of complex systems. Here we highlight the errors in this reasoning. View Full-Text
Keywords: nonadditive entropies; nonextensive statistical mechanics; strongly correlated random variables; Shore and Johnson axioms nonadditive entropies; nonextensive statistical mechanics; strongly correlated random variables; Shore and Johnson axioms
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Pressé, S.; Ghosh, K.; Lee, J.; Dill, K.A. Reply to C. Tsallis’ “Conceptual Inadequacy of the Shore and Johnson Axioms for Wide Classes of Complex Systems”. Entropy 2015, 17, 5043-5046.

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