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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Format: | Article |
Language: | English |
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MDPI AG
2013-09-01
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Series: | Entropy |
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Online Access: | http://www.mdpi.com/1099-4300/15/10/4042 |