Reply to C. Tsallis' "Conceptual Inadequacy of the Shore and Johnson Axioms for Wide Classes of Complex Systems"

Authors

Steve Pressé, Indiana Univ.-Purdue Univ. Indianapolis
Kingshuk Ghosh, University of DenverFollow
Julian Lee, Soongsil University
Ken Dill, Laufer Center for Physical and Quantitative Biology and Departments of Physics and Chemistry, Stony Brook University

Publication Date

7-17-2015

Document Type

Article

Organizational Units

Physics and Astronomy

Keywords

Nonadditive entropies, Nonextensive statistical mechanics, Strongly correlated random variables, Shore and Johnson axioms

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.

Publication Statement

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Recommended Citation

Pressé, Steve, et al. “Reply to C. Tsallis’ ‘Conceptual Inadequacy of the Shore and Johnson Axioms for Wide Classes of Complex Systems.’” Entropy (Basel, Switzerland), vol. 17, no. 12, 2015, pp. 5043–5046. doi: 10.3390/e17075043.