Sobolev tests of goodness of fit of distributions on compact Riemannian manifolds
| dc.creator | Jupp, P. E. | |
| dc.date | 2006-03-06 | |
| dc.date.accessioned | 2026-07-07T08:07:38Z | |
| dc.date.available | 2026-07-07T08:07:38Z | |
| dc.description | 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 $\mathit{SO}(3)$. | |
| dc.description | 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) | |
| dc.identifier | https://arxiv.org/abs/math/0603135 | |
| dc.identifier | http://arxiv.org/abs/math/0603135 | |
| dc.identifier | Annals of Statistics 2005, Vol. 33, No. 6, 2957-2966 | |
| dc.identifier | doi:10.1214/009053605000000697 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131000 | |
| dc.subject | Statistics Theory | |
| dc.subject | 62F03, 62F05, 62H11 (Primary) | |
| dc.title | Sobolev tests of goodness of fit of distributions on compact Riemannian manifolds | |
| dc.type | text |