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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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 |
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RePEc (Research Papers in Economics) |
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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 |
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North Pole |
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North Pole |
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North Pole |
op_relation |
http://www.sciencedirect.com/science/article/pii/S0167715212004713 |
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1796315010286223360 |