(Received March 3, 1992; revised November 13, 1992)
Abstract. The unbiased estimator of risk of the orthogonally invariant estimator of the skew-symmetric normal mean matrix is obtained, and a class of minimax estimators and their order-preserving modification are proposed. The estimators have applications in paired comparisons model. A Monte Carlo study to compare the risks of the estimators is given.
Key words and phrases: Isotonic regression, minimax estimator, order-pre-serving, paired comparisons, singular value.
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