On conjugate families and Jeffreys priors for von Mises-Fisher distributions

DOI10.1016/j.jspi.2012.11.003zbMath1259.62012OpenAlexW1971391828WikidataQ43117992 ScholiaQ43117992MaRDI QIDQ1937212

Kurt Hornik, Bettina Grün

Publication date: 28 February 2013

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2012.11.003

zbMATH Keywords

conjugate priorBayesian inference

Mathematics Subject Classification ID

Bayesian inference (62F15) Characterization and structure theory of statistical distributions (62E10)

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Poisson Kernel-Based Clustering on the Sphere: Convergence Properties, Identifiability, and a Method of Sampling, Mixtures of peaked power Batschelet distributions for circular data with application to saccade directions, Recent advances in directional statistics, Infinite von Mises–Fisher Mixture Modeling of Whole Brain fMRI Data, Conjugate priors and posterior inference for the matrix Langevin distribution on the Stiefel manifold, Directional naive Bayes classifiers

Uses Software

• rstiefel

Cites Work

• Latent roots and matrix variates: a review of some asymptotic results
• Conjugate priors for exponential families
• Exponential and Bayesian conjugate families: Review and extensions. (With discussion)
• Laplace approximation for Bessel functions of matrix argument
• Generalized power method for sparse principal component analysis
• Bayesian inference for the von Mises-Fisher distribution
• Estimation of the concentration parameter in von Mises-Fisher distributions
• A full bayesian analysis of circular data using the von mises distribution
• Orientation statistics
• A Bayesian Analysis of Directional Data Using the von Mises–Fisher Distribution
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