• Corpus ID: 88523748

An overview of uniformity tests on the hypersphere

  title={An overview of uniformity tests on the hypersphere},
  author={Eduardo Garc'ia-Portugu'es and Thomas Verdebout},
  journal={arXiv: Methodology},
When modeling directional data, that is, unit-norm multivariate vectors, a first natural question is to ask whether the directions are uniformly distributed or, on the contrary, whether there exist modes of variation significantly different from uniformity. We review in this article a reasonably exhaustive collection of uniformity tests for assessing uniformity in the hypersphere. Specifically, we review the classical circular-specific tests, the large class of Sobolev tests with its many… 
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  • J. Pycke
  • Mathematics, Computer Science
  • 2007
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