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Estimateurs à rétrécisseur matriciel différentiable, pour un côut quadratique général

Anne-Marie Fraisse, Christian Robert and Madeleine Roy

Annals of Economics and Statistics, 1987, issue 8, 161-175

Abstract: The problem of the estimation of a multivariate normal mean when the variance is known up to a multiplicative factor is considered under an arbitrary quadratic loss. We introduce shrinkage estimators with differentiable shrinking functions under weak algebraic assumptions. We deduce sufficient conditions for minimaxity from an unbiased estimator of the risk. We also consider simpler conditions in particular cases like those of shrinking functions with controlled variations.

Date: 1987
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