Corpus ID: 236493580

Polynomials shrinkage estimators of a multivariate normal mean

  title={Polynomials shrinkage estimators of a multivariate normal mean},
  author={Abdelkader Benkhaled and Mekki Terbeche and Abdenour Hamdaoui},
In this work, the estimation of the multivariate normal mean by different classes of shrinkage estimators is investigated. The risk associated with the balanced loss function is used to compare two estimators. We start by considering estimators that generalize the James-Stein estimator and show that these estimators dominate the maximum likelihood estimator (MLE), therefore are minimax, when the shrinkage function satisfies some conditions. Then, we treat estimators of polynomial form and prove… Expand

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