Testing Multivariate Scatter Parameter in Elliptical Model based on Forward Search Method

In this article, we establish a test for multivariate scatter parameter in elliptical model, where the location parameter is known, and the scatter parameter is estimated by the multivariate forward search method. The consistency property of the test is also studied here. Inter alia, we investigate the performances of the test for various simulated data, and compare them with those of a classical one.