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Geometry of deformed exponential families: Invariant, dually-flat and conformal geometries

  • Published:2012-09 Issue:18 Volume:391 Page:4308-4319
  • ISSN:0378-4371
  • Container-title:Physica A: Statistical Mechanics and its Applications
  • language:en
  • Short-container-title:Physica A: Statistical Mechanics and its Applications

Author:

Amari Shun-ichi,Ohara Atsumi,Matsuzoe Hiroshi

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistics and Probability

Reference32 articles.

1. Possible generalization of Boltzmann–Gibbs statistics;Tsallis;J. Stat. Phys.,1988

2. Introduction to Nonextensive Statistical Mechanics;Tsallis,2009

3. Methods of Information Geometry (Translations of Mathematical Monographs);Amari,2000

4. Estimators, escort probabilities, and phi-exponential families in statistical physics;Naudts;J. Ineq. Pure Appl. Math.,2004

5. Generalized exponential families and associated entropy functions;Naudts;Entropy,2008

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