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

• Main Author: Rau, Christian
• Format: Article in Journal/Newspaper
• Language: unknown
• Subjects: North Pole
• Online Access: http://www.sciencedirect.com/science/article/pii/S0167715212004713

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. Bayes classifier; Spherical symmetry; Statistics on manifolds;