On the derivatives of the normalising constant of the Bingham distribution

DOI10.1016/j.spl.2006.12.003zbMath1373.62239OpenAlexW2084668242MaRDI QIDQ997258

Andrew T. A. Wood, Alfred Kume

Publication date: 23 July 2007

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2006.12.003

zbMATH Keywords

shape analysisdirectional statisticscomplex Bingham distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Directional data; spatial statistics (62H11) Exact distribution theory in statistics (62E15)

Related Items (7)

Exact Bayesian inference for the Bingham distribution ⋮ Bias-corrected maximum likelihood estimation of the parameters of the complex Bingham distribution ⋮ On the exact maximum likelihood inference of Fisher-Bingham distributions using an adjusted holonomic gradient method ⋮ A Bayesian analysis of the Bingham distribution ⋮ Distance-based tests for planar shape ⋮ Calculating the normalising constant of the Bingham distribution on the sphere using the holonomic gradient method ⋮ Regression Modeling for Size-and-Shape Data Based on a Gaussian Model for Landmarks

Cites Work

• An antipodally symmetric distribution on the sphere
• Maximum likelihood estimators for the matrix von Mises-Fisher and Bingham distributions
• A Unified View of the Theory of Directional Statistics, 1975-1988
• Saddlepoint approximations for the Bingham and Fisher–Bingham normalising constants
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