The problem of estimating the mean of a multivariate normal distribution is considered. A class of admissible minimax estimators is constructed. This class includes two well-known classes of estimators, Strawderman's and Alam's. Further, this class is much broader than theirs.
โฆ LIBER โฆ
Admissible minimax estimators of a mean vector of scale mixtures of multivariate normal distributions
โ Scribed by Yuzo Maruyama
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 218 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0047-259X
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โฆ Synopsis
The problem of estimating a mean vector of scale mixtures of multivariate normal distributions with the quadratic loss function is considered. For a certain class of these distributions, which includes at least multivariate-t distributions, admissible minimax estimators are given.
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We consider estimation of a multivariate normal mean vector under sum of squared error loss.We propose a new class of minimax admissible estimator which are generalized Bayes with respect to a prior distribution which is a mixture of a point prior at the origin and a continuous hierarchical type pri