Information geometry of the Gaussian space

DOI10.1007/978-3-319-97798-0_5zbMath1414.62034arXiv1803.08135OpenAlexW2962812167MaRDI QIDQ2417767

Giovanni Pistone

Publication date: 29 May 2019

Full work available at URL: https://arxiv.org/abs/1803.08135

zbMATH Keywords

information geometryGaussian Orlicz spaceGaussian Orlicz-Sobolev spacePistone-Sempi exponential manifold

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Statistical aspects of information-theoretic topics (62B10)

Related Items (5)

Robust concentration inequalities in maximal exponential models ⋮ Geometric mean of probability measures and geodesics of Fisher information metric ⋮ Affine statistical bundle modeled on a Gaussian Orlicz-Sobolev space ⋮ Information Geometry of Smooth Densities on the Gaussian Space: Poincaré Inequalities ⋮ A Lecture About the Use of Orlicz Spaces in Information Geometry

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