It is well known that the best equivariant estimator of the variance covariance matrix of the multivariate normal distribution with respect to the full affine group of transformation is not even minimax. Some minimax estimators have been proposed. Here we treat this problem in the framework of a mul
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Risk behavior of variance estimators in multivariate normal distribution
โ Scribed by Andrew L. Rukhin; Malwane M.A. Ananda
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 510 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
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We consider confidence sets for the mean of a multivariate normal distribution with unknown covariance matrix of the form \_ 2 I. The coverage probability of the usual confidence set is shown to be improved asymptotically by centering at a shrinkage estimator.