Reply to C. Tsallis' "conceptual inadequacy of the Shore and Johnson axioms for wide classes of complex systems"

Steve Presse, Kingshuk Ghosh, Julian Lee, Ken A. Dill

Research output: Contribution to journalArticle

8 Scopus citations

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 {pi} 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.

Original languageEnglish (US)
Pages (from-to)5043-5046
Number of pages4
JournalEntropy
Volume17
Issue number7
DOIs
StatePublished - Jan 1 2015
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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