Data-driven Sobolev tests of uniformity on compact Riemannian manifolds

• 成果类型: Article
• 署名作者: Jupp, P. E.
• 署名单位: University of St Andrews
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/009053607000000541
• 发表日期: 2008
• 页码: 1246-1260
• 关键词: of-fit tests; smooth tests; composite hypotheses; version

摘要

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.