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- W2083457987 abstract "Let X be an m × p matrix normally distributed with matrix of means B and covariance matrix Im ⊗ Σ, where Σ is a p × p unknown positive definite matrix. This paper studies the estimation of B relative to the invariant loss function tr Σ−1(B̂−B)t (B̂−B). New classes of invariant minimax estimators are proposed for the case p > m + 1, which are multivariate extensions of the estimators of Stein and Baranchik. The method involves the unbiased estimation of the risk of an invariant estimator which depends on the eigenstructure of the usual F = XS−1Xt matrix, where S: p × p follows a Wishart matrix with n degrees of freedom and mean nΣ." @default.
- W2083457987 created "2016-06-24" @default.
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- W2083457987 date "1991-01-01" @default.
- W2083457987 modified "2023-09-23" @default.
- W2083457987 title "On estimation of a matrix of normal means with unknown covariance matrix" @default.
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- W2083457987 doi "https://doi.org/10.1016/0047-259x(91)90090-o" @default.
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