Data-driven Sobolev tests of uniformity on compact Riemannian manifolds

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Abstract

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.

Original languageEnglish
Pages (from-to)1246-1260
Number of pages15
JournalAnnals of Statistics
Volume36
DOIs
Publication statusPublished - Jun 2008

Keywords

  • consistency
  • directional statistics
  • invariance
  • penalized score test
  • OF-FIT TESTS
  • SMOOTH TESTS
  • COMPOSITE HYPOTHESES
  • VERSION

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