Saddlepoint approximations for the Bingham and Fisher–Bingham normalising constants
From MaRDI portal
Publication:5479504
DOI10.1093/biomet/92.2.465zbMath1094.62063OpenAlexW2136111578MaRDI QIDQ5479504
Andrew T. A. Wood, Alfred Kume
Publication date: 10 July 2006
Published in: Biometrika (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/8eb0f374da7a84febf4859cf8a13cdd6a812e3fd
Watson distributionShape analysisDirectional dataComplex Bingham distributionVon Mises-Fisher distribution
Multivariate distribution of statistics (62H10) Directional data; spatial statistics (62H11) Asymptotic distribution theory in statistics (62E20)
Related Items
The Complex Bingham Quartic Distribution and Shape Analysis, Quasi-entropy by log-determinant covariance matrix and application to liquid crystals, Exact Bayesian inference for the Bingham distribution, Bias-corrected maximum likelihood estimation of the parameters of the complex Bingham distribution, Scoring rules for statistical models on spheres, Holonomic gradient method for distribution function of a weighted sum of noncentral chi-square random variables, A fast algorithm for the moments of Bingham distribution, Approximate maximum likelihood estimation of the Bingham distribution, Distance-based hypothesis tests on the Watson distribution, Saddlepoint approximations to the distribution of the total distance of the multivariate isotropic and von Mises-Fisher random walks, Properties and applications of Fisher distribution on the rotation group, On the Bingham distribution with large dimension, Fitting Kent models to compositional data with small concentration, Multivariate expectile-based distribution: properties, Bayesian inference, and applications, On the exact maximum likelihood inference of Fisher-Bingham distributions using an adjusted holonomic gradient method, A Bayesian analysis of the Bingham distribution, A note on inverse stereographic projection of elliptical distributions, The 8-parameter Fisher-Bingham distribution on the sphere, Comment on Geodesic Monte Carlo on Embedded Manifolds by Byrne and Girolami, A New Unified Approach for the Simulation of a Wide Class of Directional Distributions, Holonomic gradient descent for the Fisher-Bingham distribution on the \(d\)-dimensional sphere, Skew-rotationally-symmetric distributions and related efficient inferential procedures, On the derivatives of the normalising constant of the Bingham distribution, Calculating the normalising constant of the Bingham distribution on the sphere using the holonomic gradient method, Scaled von Mises–Fisher Distributions and Regression Models for Paleomagnetic Directional Data, Maximum likelihood estimation of the Fisher-Bingham distribution via efficient calculation of its normalizing constant, On Optimal Tests for Rotational Symmetry Against New Classes of Hyperspherical Distributions, Regression Modeling for Size-and-Shape Data Based on a Gaussian Model for Landmarks, Statistical analysis on high-dimensional spheres and shape spaces, \(Q\)-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints
