TESTS OF ELLIPTICAL SYMMETRY AND THE ASYMPTOTIC TAIL BEHAVIOR OF THE STATISTICS

摘要

In this paper, some test statistics of Kolmogorov type and Cramervon Mises type based on projection pursuit technqiue are proposed for testing the spherically problem of a high dimensional distribution. The limiting distributions of he test statistics are derived under the null hypothesis. The asymptotic properties of Bootstrap approximation are investigated and the tail behaviors of he satisfitic are studied.