Saddlepoint approximations for the normalizing constant of Fisher-Bingham distributions on products of spheres and Stiefel manifolds

DOI10.1093/biomet/ast021zbMath1452.62998OpenAlexW2160204131MaRDI QIDQ2870259

Andrew T. A. Wood, Alfred Kume, Simon P. Preston

Publication date: 17 January 2014

Published in: Biometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/biomet/ast021

zbMATH Keywords

directional data Kent distribution orientation statistics Fisher matrix distribution

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Statistics on manifolds (62R30) Approximations to statistical distributions (nonasymptotic) (62E17)

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Quasi-entropy by log-determinant covariance matrix and application to liquid crystals ⋮ A fast algorithm for the moments of Bingham distribution ⋮ Asymptotic Analysis of a Matrix Latent Decomposition Model ⋮ Comments on: ``Recent advances in directional statistics ⋮ An elliptically symmetric angular Gaussian distribution ⋮ Spherical regression models with general covariates and anisotropic errors ⋮ \(Q\)-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints

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