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...
Main Authors: | Shun-ichi Amari, Atsumi Ohara |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2011-06-01
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Series: | Entropy |
Subjects: | |
Online Access: | http://www.mdpi.com/1099-4300/13/6/1170/ |
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