(1) Department of Econometrics, Monash University, 3168 Clayton, Victoria, Australia;(2) Department of Mathematics and Statistics, University of Regina, S4S 0A2 Regina, Saskatchewan, Canada
Abstract:
The simultaneous estimation of the characteristic roots of the scale matrix of the multivariatet-model is considered. The improved estimation strategies are developed in the light of a quadratic loss function. It is demonstrated analytically and numerically that the class of proposed estimators outperforms the class of usual estimators in the sense of having smaller risk.