Article thumbnail

Asymptotically efficient two-sample rank tests for modal directions on spheres

By Ming-Tien Tsai

Abstract

A general class of optimal and distribution-free rank tests for the two-sample modal directions problem on (hyper-) spheres is proposed, along with an asymptotic distribution theory for such spherical rank tests. The asymptotic optimality of the spherical rank tests in terms of power-equivalence to the spherical likelihood ratio tests is studied, while the spherical Wilcoxon rank test, an important case for the class of spherical rank tests, is further investigated. A data set is reanalyzed and some errors made in previous studies are corrected. On the usual sphere, a lower bound on the asymptotic Pitman relative efficiency relative to Hotelling's T2-type test is established, and a new distribution for which the spherical Wilcoxon rank test is optimal is also introduced.62H11 62H15 Directional and axial data Optimal spherical rank test Randomly weighted spherical distance Rotation-equivariance Spherical Wilcoxon rank test

OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://www.sciencedirect.com/s... (external link)

  • To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.

    Suggested articles