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Robust improvement in estimation of a covariance matrix in an elliptically contoured distribution. (English) Zbl 0942.62063
Summary: This paper derives an extended version of the Haff or, more appropriately, Stein-Haff identity [C. Stein, Estimating the covariance matrix. Unpublished manuscript. (1977); L. R. Haff, J. Multivariate Anal. 9, 531-544 (1979; Zbl 0423.62036)] 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.

62H12 Estimation in multivariate analysis
62J05 Linear regression; mixed models
62C99 Statistical decision theory
Full Text: DOI
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