Modifications of the Rayleigh and Bingham tests for uniformity of directions

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Abstract

The general machinery of Cordeiro and Ferrari (1991. Biometrika 78. 573-582) and Chandra and Mukerjee (1991. J. Multivariate Anal. 36. 103-112) provides modifications of score rest statistics which bring the null distributions close to their large-sample asymptotic distributions. These modifications are calculated here For the Rayleigh and Bingham tests of uniformity on spheres of arbitrary dimension. Stiefel manifolds, rotation groups. Grassmann manifolds and complex projective spaces. (C) 2001 Academic Press.

Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalJournal of Multivariate Analysis
Volume77
DOIs
Publication statusPublished - Apr 2001

Keywords

  • complex projective space
  • generalized Bartlett correction
  • Grassmann manifold
  • rotation group
  • sphere
  • Stiefel manifold
  • uniform distribution
  • ORIENTATION STATISTICS
  • SHAPE-ANALYSIS
  • MANIFOLD

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