Data-driven Sobolev tests of uniformity on compact Riemannian manifolds

Details Data-driven Sobolev tests of uniformity on compact Riemannian manifolds Data-driven Sobolev tests of uniformity on compact Riemannian manifolds

2008-06-18

arxiv.org/abs/0806.2939v1

Annals of Statistics 2008, Vol. 36, No. 3, 1246-1260

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/009053607000000541 the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053607000000541

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.

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