Abstract
Data-driven versions of Sobolev tests of uniformity on compact Riemannian manifolds are proposed. These tests are invariant under isometries; and are consistent against all alternatives. The large-sample asymptotic null distributions are given.
Original language | English |
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Pages (from-to) | 1246-1260 |
Number of pages | 15 |
Journal | Annals of Statistics |
Volume | 36 |
DOIs | |
Publication status | Published - Jun 2008 |
Keywords
- consistency
- directional statistics
- invariance
- penalized score test
- OF-FIT TESTS
- SMOOTH TESTS
- COMPOSITE HYPOTHESES
- VERSION