A projection NT-type test of elliptical symmetry based on the skewness and kurtosis measures

Abstract

In this paper, we propose a new approach to the test of elliptical symmetry based on the projection pursuit (P.P.) technique, the number-theoretic method, skewness and kurtosis. The limiting null distributions of the new statistics are derived. The powers of the tests against six alternatives are calculated by simulation, which shows that the new tests are acceptable.