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

Authors
Presse, SteveGhosh, KingshukLee, JulianDill, Ken A.
Issue Date
Jul-2015
Publisher
MDPI AG
Keywords
nonadditive entropies; nonextensive statistical mechanics; strongly correlated random variables; Shore and Johnson axioms
Citation
ENTROPY, v.17, no.7, pp.5043 - 5046
Journal Title
ENTROPY
Volume
17
Number
7
Start Page
5043
End Page
5046
URI
http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/8700
DOI
10.3390/e17075043
ISSN
1099-4300
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 {p(i)} 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.
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