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.
Citation
P. E. Jupp. "Data-driven Sobolev tests of uniformity on compact Riemannian manifolds." Ann. Statist. 36 (3) 1246 - 1260, June 2008. https://doi.org/10.1214/009053607000000541
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