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

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Department of Physics, Indiana Univ.-Purdue Univ. Indianapolis, Indianapolis, IN 46202, USA
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Department of Physics and Astronomy, University of Denver, Denver, CO 80208, USA
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Department of Bioinformatics, Soongsil University, Seoul 156-743, Korea
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Laufer Center for Physical and Quantitative Biology and Departments of Physics and Chemistry, Stony Brook University, Stony Brook, NY 11794, USA
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Author to whom correspondence should be addressed.
Academic Editor: Kevin H. Knuth
Entropy 2015, 17(7), 5043-5046; https://doi.org/10.3390/e17075043
Received: 7 June 2015 / Revised: 14 July 2015 / Accepted: 14 July 2015 / Published: 17 July 2015
(This article belongs to the Section Complexity)
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
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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