Elliptical Symmetry Tests in \proglang{R}

Abstract

The assumption of elliptical symmetry has an important role in many theoretical developments and applications, hence it is of primary importance to be able to test whether that assumption actually holds true or not. Various tests have been proposed in the literature for this problem. To the best of our knowledge, none of them has been implemented in R. The focus of this paper is the implementation of several well-known tests for elliptical symmetry together with some novel tests. We demonstrate the testing procedures with a real data example, and we conduct a Monte Carlo simulation study of the finite-sample performances of the tests.