Equiaffine structures on statistical manifolds and Bayesian statistics

DOI10.1016/j.difgeo.2006.02.003zbMath1106.53008OpenAlexW2035784967WikidataQ115357857 ScholiaQ115357857MaRDI QIDQ864874

N. E. Zubov

Publication date: 13 February 2007

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2006.02.003

zbMATH Keywords

Bayesian inferencestatistical manifoldalpha-parallel priorChebychev vector fieldequiaffine structure

Mathematics Subject Classification ID

Bayesian inference (62F15) Affine differential geometry (53A15)

Related Items

Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds ⋮ A note on curvature of \(\alpha\)-connections of a statistical manifold ⋮ Generalized conjugate connections and equiaffine structures on semi-Riemannian manifolds ⋮ Anti-invariant holomorphic statistical submersions ⋮ A five-dimensional Riemannian manifold with an irreducible \(\mathrm{SO}(3)\)-structure as a model of abstract statistical manifold ⋮ The arc length variational formula on the exponential manifold ⋮ Equiaffine structure and conjugate Ricci-symmetry of a statistical manifold ⋮ A sectional curvature for statistical structures

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