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Robust improvement in estimation of a covariance matrix in an elliptically contoured distribution

Robust improvement in estimation of a covariance matrix in an elliptically contoured distribution

This paper derives an extended version of the Haff or, more appropriately, Stein-Haff identity for an elliptically contoured distribution (ECD) . This identity is then used to show that the minimax estimators of the covariance matrix obtained under normal models remain robust under the ECD model.