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Estimation of the characteristic roots of the scale matrix
Authors:Anwarul H. Joarder  S. E. Ahmed
Affiliation:(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.
Keywords:Characteristic roots  multivariatet-distribution  risk function
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