Data-driven Sobolev tests of uniformity on compact Riemannian manifolds

P. E. Jupp

doi:10.1214/009053607000000541

Data-driven Sobolev tests of uniformity on compact Riemannian manifolds

Statistics Theory 2008-12-18 v1 Statistics Theory

Authors: P. E. Jupp

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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.

Keywords

riemannian geometry hypothesis testing sobolev spaces

Cite

@article{arxiv.0806.2939,
  title  = {Data-driven Sobolev tests of uniformity on compact Riemannian manifolds},
  author = {P. E. Jupp},
  journal= {arXiv preprint arXiv:0806.2939},
  year   = {2008}
}

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Published in at http://dx.doi.org/10.1214/009053607000000541 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)

Data-driven Sobolev tests of uniformity on compact Riemannian manifolds

Abstract

Keywords

Cite

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