Examples of the Application of Nonparametric Information Geometry to Statistical Physics

We review a nonparametric version of Amari’s information geometry in which the set of positive probability densities on a given sample space is endowed with an atlas of charts to form a differentiable manifold modeled on Orlicz Banach spaces. This nonparametric setting is used to discuss the setting...

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Bibliographic Details
Main Author: Giovanni Pistone
Format: Article
Language:English
Published: MDPI AG 2013-09-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/15/10/4042