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Activity Number: 532
Type: Contributed
Date/Time: Wednesday, August 7, 2013 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #309089
Title: An Empirical Likelihood Approach to Testing of Uniformity and Symmetries on High-Dimensional Spheres
Author(s): Lingnan Li*+ and Shan Wang and Hanxiang Peng
Companies: Indiana University-Purdue University and Indiana University-Purdue University and Indiana University-Purdue University
Keywords: empirical likelihood ; high dimensional sphere ; normality ; rotational symmetry ; spherical symmetry ; uniform distribution on a sphere
Abstract:

In this talk, we report some results of empirical Likelihood testing of uniform distribution on a sphere, spherical and rotational symmetries. The tests are developed to allow for the dimension of the sphere to grow to infinity slowly with the sample size and for the use of estimated constraints. A normal test is also given. Finally, some simulation results are reported.


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