New results on mixture and exponential models by Orlicz spaces
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Publication:282538
DOI10.3150/15-BEJ698zbMath1360.62249arXiv1603.05465OpenAlexW3104143361MaRDI QIDQ282538
Marina Santacroce, Barbara Trivellato, Paola Siri
Publication date: 12 May 2016
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.05465
Related Items (10)
Information geometry formalism for the spatially homogeneous Boltzmann equation ⋮ Exponential models by Orlicz spaces and applications ⋮ 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 ⋮ Stochastic comparisons and dynamic information of random lifetimes in a replacement model ⋮ Information Geometry of Smooth Densities on the Gaussian Space: Poincaré Inequalities ⋮ On Normalization Functions and $$\varphi $$-Families of Probability Distributions ⋮ The Banach manifold of measures and the Lagrange multipliers of statistical mechanics ⋮ A Lecture About the Use of Orlicz Spaces in Information Geometry
Cites Work
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- Examples of the application of nonparametric information geometry to statistical physics
- Exponential statistical manifold
- The exponential statistical manifold: mean parameters, orthogonality and space transformations
- Differential geometry of curved exponential families. Curvatures and information loss
- A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one
- Differential-geometrical methods in statistics
- Connections on Non-Parametric Statistical Manifolds by Orlicz Space Geometry
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