Information Geometry on the \(\kappa\)-Thermostatistics

Information Geometry on the \(\kappa\)-Thermostatistics

We explore the information geometric structure of the statistical manifold generated by the \(\kappa\)-deformed exponential family. The dually-flat manifold is obtained as a dualistic Hessian structure by introducing suitable generalization of the Fisher metric and affine connections. As a byproduct...

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Bibliographic Details
Main Authors: Tatsuaki Wada, Antonio M. Scarfone
Format: Article
Language:English
Published: MDPI AG 2015-03-01
Series:Entropy
Subjects:
\(\kappa\)-entropy
\(\kappa\)-exponential
\(\kappa\)-logarithm
information geometry
Fisher metric
dually-flat
fluctuation-response relation
Online Access:http://www.mdpi.com/1099-4300/17/3/1204

Internet

http://www.mdpi.com/1099-4300/17/3/1204

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