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

• 成果类型: Article
• 署名作者: Jupp, PE
• 署名单位: University of St Andrews
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/009053605000000697
• 发表日期: 2005
• 页码: 2957-2966
• 关键词: directional-data; orientation statistics; UNIFORMITY

摘要

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