Sobolev tests of goodness of fit of distributions on compact Riemannian manifolds

Jupp, P. E.

Jupp, P. E.

Ann. Statist., Tome 33 (2005) no. 1, p. 2957-2966 / Harvested from Project Euclid

Résumé

Classes of coordinate-invariant omnibus goodness-of-fit tests on compact Riemannian manifolds are proposed. The tests are based on Giné’s Sobolev tests of uniformity. A condition for consistency is given. The tests are illustrated by an example on the rotation group SO(3).

Publié le : 2005-12-14
Classification: Consistency, invariance, Riemannian manifolds, uniformity, weighted empirical distribution, 62F03, 62F05, 62H11

@article{1140191680,
     author = {Jupp, P. E.},
     title = {Sobolev tests of goodness of fit of distributions on compact Riemannian manifolds},
     journal = {Ann. Statist.},
     volume = {33},
     number = {1},
     year = {2005},
     pages = { 2957-2966},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1140191680}
}

Jupp, P. E. Sobolev tests of goodness of fit of distributions on compact Riemannian manifolds. Ann. Statist., Tome 33 (2005) no. 1, pp.  2957-2966. http://gdmltest.u-ga.fr/item/1140191680/