Finite-sample investigation of likelihood and Bayes inference for the symmetric von Mises-Fisher distribution

DOI10.1016/j.csda.2009.11.020zbMath1464.62028OpenAlexW2094991157MaRDI QIDQ962386

Daniel J. Nordman, Melissa A. Bingham, Stephen B. Vardeman

Publication date: 6 April 2010

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2009.11.020

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Directional data; spatial statistics (62H11) Computational methods for problems pertaining to statistics (62-08) Estimation in multivariate analysis (62H12) Point estimation (62F10) Bayesian inference (62F15)

Related Items (4)

Quantifying spread in three-dimensional rotation data: comparison of nonparametric and parametric techniques ⋮ One-sample Bayes inference for symmetric distributions of 3-D rotations ⋮ Algebraic analysis of rotation data ⋮ Bayes inference for a tractable new class of non-symmetric distributions for 3-dimensional rotations

Uses Software

• BayesDA

Cites Work

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• Modeling and Inference for Measured Crystal Orientations and a Tractable Class of Symmetric Distributions for Rotations in Three Dimensions
• SOME STATISTICS ASSOCIATED WITH THE RANDOM DISORIENTATION OF CUBES
• A distribution-free method of interval estimation for unsigned directional data
• The Selection of Prior Distributions by Formal Rules
• Using Orientation Statistics to Investigate Variations in Human Kinematics
• Orientation statistics
• Bayes one-sample and one-way random effects analyses for 3-D orientations with application to materials science

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