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

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 classif...

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Bibliographic Details
Main Author: Rau, Christian
Format: Article in Journal/Newspaper
Language:unknown
Subjects:
North Pole
Online Access:http://www.sciencedirect.com/science/article/pii/S0167715212004713
id ftrepec:oai:RePEc:eee:stapro:v:83:y:2013:i:3:p:930-935
record_format openpolar
spelling ftrepec:oai:RePEc:eee:stapro:v:83:y:2013:i:3:p:930-935 2024-04-14T08:16:21+00:00 Bayes classifiers of three-dimensional rotations and the sphere with symmetries Rau, Christian http://www.sciencedirect.com/science/article/pii/S0167715212004713 unknown http://www.sciencedirect.com/science/article/pii/S0167715212004713 article ftrepec 2024-03-19T10:35:52Z 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; Article in Journal/Newspaper North Pole RePEc (Research Papers in Economics) North Pole
institution Open Polar
collection RePEc (Research Papers in Economics)
op_collection_id ftrepec
language unknown
description 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;
format Article in Journal/Newspaper
author Rau, Christian
spellingShingle Rau, Christian
Bayes classifiers of three-dimensional rotations and the sphere with symmetries
author_facet Rau, Christian
author_sort Rau, Christian
title Bayes classifiers of three-dimensional rotations and the sphere with symmetries
title_short Bayes classifiers of three-dimensional rotations and the sphere with symmetries
title_full Bayes classifiers of three-dimensional rotations and the sphere with symmetries
title_fullStr Bayes classifiers of three-dimensional rotations and the sphere with symmetries
title_full_unstemmed Bayes classifiers of three-dimensional rotations and the sphere with symmetries
title_sort bayes classifiers of three-dimensional rotations and the sphere with symmetries
url http://www.sciencedirect.com/science/article/pii/S0167715212004713
geographic North Pole
geographic_facet North Pole
genre North Pole
genre_facet North Pole
op_relation http://www.sciencedirect.com/science/article/pii/S0167715212004713
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