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Biometrika 1976 63(1):203-206; doi:10.1093/biomet/63.1.203
© 1976 by Biometrika Trust
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Miscellanea

Bayesian inference for the von Mises-Fisher distribution

K. V. MARDIA and S. A. M. EL-ATOUM

Department of Statistics, University of Leeds

The main aim of this note is to give a theoretical discussion of Bayesian inference for the von Mises-Fisher distribution. The choice of particular priors is considered and the admissibility of certain Bayesian estimators studied. For the multisample case estimators are given. Some problems of testing hypotheses are summarized in the form of posterior odds against the null hypothesis.

Key Words: Bayesian directional data analysis • Loss function • One-way classification • Prior distribution • von Mises-Fisher distribution


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