Data-driven Sobolev tests of uniformity on compact Riemannian manifolds

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

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

Fingerprint

Dive into the research topics of 'Data-driven Sobolev tests of uniformity on compact Riemannian manifolds'. Together they form a unique fingerprint.

Cite this