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.
@article{1211819563,
author = {Jupp, P. E.},
title = {Data-driven Sobolev tests of uniformity on compact Riemannian manifolds},
journal = {Ann. Statist.},
volume = {36},
number = {1},
year = {2008},
pages = { 1246-1260},
language = {en},
url = {http://dml.mathdoc.fr/item/1211819563}
}
Jupp, P. E. Data-driven Sobolev tests of uniformity on compact Riemannian manifolds. Ann. Statist., Tome 36 (2008) no. 1, pp. 1246-1260. http://gdmltest.u-ga.fr/item/1211819563/