On empirical Bayes estimation of variance components in random effects model
โ Scribed by Laisheng Wei; Xiao Ding
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 319 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0378-3758
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โฆ Synopsis
In this paper, Bayes estimators of variance components are derived for the one-way random e ects model, and empirical Bayes (EB) estimators are constructed by the kernel estimation method of a multivariate density and its mixed partial derivatives. It is shown that the EB estimators are asymptotically optimal and convergence rates are established. Finally, an example concerning the main results is given.
๐ SIMILAR VOLUMES
In mixed linear models with two variance components, classes of estimators improving on ANOVA estimators for the variance components and the ratio of variances are constructed on the basis of the invariant statistics. Out of the classes, consistent, improved and positive estimators are singled out.