Bayes classifiers of three-dimensional rotations and the sphere with symmetries

Christian Rau

Statistics & Probability Letters, 2013, vol. 83, issue 3, 930-935

Abstract: We derive the Bayes classification rule for two rotation distributions in three dimensions which are shifts of a common conjugation-invariant distribution, and for the two distributions on the sphere which are obtained by applying rotations of this kind to the north pole of the sphere.

Keywords: Bayes classifier; Spherical symmetry; Statistics on manifolds (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2012.12.012

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