Data-Driven Sobolev Tests of Uniformity on Compact Riemannian Manifolds

Authors
Jupp, P. E.
Citation
E. Jupp, P., Data-Driven Sobolev Tests of Uniformity on Compact Riemannian Manifolds, Annals of statistics , 36(3), 2008, pp. 1246-1260
Journal title
Annals of statistics → ACNP
ISSN journal
00905364
Volume
36
Issue
3
Year of publication
2008
Pages
1246 - 1260
Database
ACNP
SICI code
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.