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

Hornik, Kurt ORCID: https://orcid.org/0000-0003-4198-9911 and Grün, Bettina (2013) On conjugate families and Jeffreys priors for von Mises-Fisher distributions. Journal of Statistical Planning and Inference, 143 (5). pp. 992-999. ISSN 03783758

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Abstract

This paper discusses characteristics of standard conjugate priors and their induced posteriors in Bayesian inference for von Mises-Fisher distributions, using either the canonical natural exponential family or the more commonly employed polar coordinate parameterizations. We analyze when standard conjugate priors as well as posteriors are proper, and investigate the Jeffreys prior for the von Mises-Fisher family. Finally, we characterize the proper distributions in the standard conjugate family of the (matrixvalued) von Mises-Fisher distributions on Stiefel manifolds.

Item Type:	Article
Additional Information:	This research was funded by the Austrian Science Fund (FWF): V170-N18.
Keywords:	Bayesian inference, Conjugate prior, Jeffreys prior, von Mises-Fisher distribution
Divisions:	Departments > Finance, Accounting and Statistics > Statistics and Mathematics > Hornik
Version of the Document:	Published
Depositing User:	ePub Administrator
Date Deposited:	06 Mar 2017 12:31
Last Modified:	24 Oct 2019 13:41
Related URLs:	https://www.elsevier.com/
FIDES Link:	https://bach.wu.ac.at/d/research/results/62033/
URI:	https://epub.wu.ac.at/id/eprint/5449

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