Statistical Manifolds Admitting Torsion and Partially Flat Spaces

DOI10.1007/978-3-030-02520-5_3zbMath1418.53021OpenAlexW2901705192MaRDI QIDQ4967754

Masayuki Henmi, Hiroshi Matsuzoe

Publication date: 10 July 2019

Published in: Geometric Structures of Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-02520-5_3

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Statistical aspects of information-theoretic topics (62B10) Local Riemannian geometry (53B20)

Related Items (9)

Lifting statistical structures ⋮ Information geometry of operator scaling ⋮ Pseudo-Riemannian geometry encodes information geometry in optimal transport ⋮ G-dual teleparallel connections in information geometry ⋮ Contact Hamiltonian Systems for Probability Distribution Functions and Expectation Variables: A Study Based on a Class of Master Equations ⋮ Statistical mirror symmetry ⋮ Complex affine distributions ⋮ 1-conformal geometry of quasi statistical manifolds ⋮ From Hessian to Weitzenböck: manifolds with torsion-carrying connections

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• Robust and efficient estimation by minimising a density power divergence
• Asymptotic Statistics
• Hooke’s law in statistical manifolds and divergences
• An Optimum Property of Regular Maximum Likelihood Estimation

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