Sobolev tests of goodness of fit of distributions on compact Riemannian manifolds
Abstract
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 $\mathit{SO}(3)$.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- March 2006
- DOI:
- 10.48550/arXiv.math/0603135
- arXiv:
- arXiv:math/0603135
- Bibcode:
- 2006math......3135J
- Keywords:
-
- Mathematics - Statistics;
- 62F03;
- 62F05;
- 62H11 (Primary)
- E-Print:
- Published at http://dx.doi.org/10.1214/009053605000000697 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)