Nonadditive entropy maximization is inconsistent with Bayesian updating

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13 Scopus citations

Abstract

The maximum entropy method - used to infer probabilistic models from data - is a special case of Bayes's model inference prescription which, in turn, is grounded in basic propositional logic. By contrast to the maximum entropy method, the compatibility of nonadditive entropy maximization with Bayes's model inference prescription has never been established. Here we demonstrate that nonadditive entropy maximization is incompatible with Bayesian updating and discuss the immediate implications of this finding. We focus our attention on special cases as illustrations.

Original languageEnglish (US)
Article number052149
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number5
DOIs
StatePublished - Nov 24 2014
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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