On a method to construct exponential families by representation theory

DOI10.1007/978-3-030-26980-7_16zbMath1458.62111arXiv1811.01394OpenAlexW2969920453MaRDI QIDQ2305218

Koichi Tojo, Taro Yoshino

Publication date: 10 March 2020

Full work available at URL: https://arxiv.org/abs/1811.01394

zbMATH Keywords

representation theoryhomogeneous spaceexponential familygeneralized inverse Gaussian distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Probability distributions: general theory (60E05)

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Invariant Koszul Form of Homogeneous Bounded Domains and Information Geometry Structures ⋮ Special issue ``Affine differential geometry and Hesse geometry: a tribute and memorial to Jean-Louis Koszul ⋮ A characterization of the alpha-connections on the statistical manifold of normal distributions ⋮ Harmonic exponential families on homogeneous spaces ⋮ An Exponential Family on the Upper Half Plane and Its Conjugate Prior

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