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Abstract Details

Activity Number: 63
Type: Topic Contributed
Date/Time: Sunday, July 29, 2012 : 4:00 PM to 5:50 AM
Sponsor: ENAR
Abstract - #306119
Title: An Empirical Likelihood Approach to Testing of Multivariate Symmetries
Author(s): Hanxiang Peng*+
Companies: Indiana University Purdue University Indianapolis
Address: 402 N. Blackford Street, Indianapolis, IN, 46202, United States
Keywords: Empirical likelihood ; Infinite many constraints ; Multivariate symmetry ; Rotational symmetry ; Spherical symmetry

In this talk, we will first introduce a class of tests for testing multivariate central symmetry. The empirical likelihood (EL) versions of these tests are then presented. An EL-based test about spherical symmetry is also given. Because symmetries are infinite dimensional, our tests are based on random vectors with growing dimension. We will discuss the asymptotic behaviors of these tests and local alternatives. Finally, simulation results are reported.

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