The simulation of spherical distributions in the Fisher-Bingham family

DOI10.1080/03610918708812624zbMath0637.62019OpenAlexW2029418320MaRDI QIDQ3777230

Andrew T. A. Wood

Publication date: 1987

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918708812624

zbMATH Keywords

envelopespherical distributionsFisher-Bingham distributiondirectional distributionacceptance ratioDimroth-Watsongenerating pseudo- random unit vectorsrejection procedures

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Monte Carlo methods (65C05) Random number generation in numerical analysis (65C10)

Related Items (7)

Random sampling from the watson distribution ⋮ Computer Generation and Estimation in a One-Parameter System Of Bivariate Distributions with Specified Marginals ⋮ Computing expected values of normal order statistics ⋮ Computing variances and covariances of normal order statistics ⋮ An Efficient Test for Homogeneity of Mean Directions on the Hyper‐sphere ⋮ A New Unified Approach for the Simulation of a Wide Class of Directional Distributions ⋮ Simulation of the von mises fisher distribution

Uses Software

• NAG

Cites Work

• Unnamed Item
• On the information matrix for symmetric distributions on the hypersphere
• Computer Generation of Distributions on the m-Sphere
• Efficient Simulation of the von Mises Distribution
• A Bimodal Distribution on the Sphere
• A small circle distribution on the sphere
• An extension of the von mises distribution

This page was built for publication: The simulation of spherical distributions in the Fisher-Bingham family