Asymptotic Expansions for the Bingham Distribution

DOI10.2307/2347545zbMath0617.62052OpenAlexW2511313308MaRDI QIDQ4727211

John T. Kent

Publication date: 1987

Published in: Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2347545

zbMATH Keywords

asymptotic expansionsunit sphereTaylor series expansionBingham distributionnormalization constantantipodally symmetric directional dataestimation on the sphere

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20)

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Quasi-entropy by log-determinant covariance matrix and application to liquid crystals ⋮ Exact Bayesian inference for the Bingham distribution ⋮ A fast algorithm for the moments of Bingham distribution ⋮ A Bayesian analysis of the Bingham distribution ⋮ Approximating the matrix Fisher and Bingham distributions: Applications to spherical regression and Procrustes analysis ⋮ Distance-based tests for planar shape ⋮ \(Q\)-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints

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