The 8-parameter Fisher-Bingham distribution on the sphere

DOI10.1007/s00180-020-01023-wzbMath1505.62434arXiv1906.08247OpenAlexW3104281779MaRDI QIDQ1995849

Tianlu Yuan

Publication date: 25 February 2021

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

Full work available at URL: https://arxiv.org/abs/1906.08247

zbMATH Keywords

von Mises-Fisher distributiondirectional statisticsFisher-Bingham distributionKent distribution

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Directional data; spatial statistics (62H11) Computational methods for problems pertaining to statistics (62-08)

Related Items (1)

Recent advances in directional statistics

Uses Software

• SciPy
• NumPy
• Healpix
• Python
• healpy

Cites Work

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• On the information matrix for symmetric distributions on the hypersphere
• On the exact maximum likelihood inference of Fisher-Bingham distributions using an adjusted holonomic gradient method
• Small‐sphere distributions for directional data with application to medical imaging
• A small circle distribution on the sphere
• Saddlepoint approximations for the Bingham and Fisher–Bingham normalising constants
• Dispersion on a Sphere

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