Geometry of q-Exponential Family of Probability Distributions

Geometry of q-Exponential Family of Probability Distributions

The Gibbs distribution of statistical physics is an exponential family of probability distributions, which has a mathematical basis of duality in the form of the Legendre transformation. Recent studies of complex systems have found lots of distributions obeying the power law rather than the standard...

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Bibliographic Details
Main Authors: Shun-ichi Amari, Atsumi Ohara
Format: Article
Language:English
Published: MDPI AG 2011-06-01
Series:Entropy
Subjects:
q-exponential family
q-entropy
information geometry
q-Pythagorean theorem
q-Max-Ent theorem
conformal transformation
Online Access:http://www.mdpi.com/1099-4300/13/6/1170/

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http://www.mdpi.com/1099-4300/13/6/1170/

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