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On empirical Bayes estimation of variance components in random effects model

โœ 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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โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


Estimation of Variance Components in Mix
โœ T. Kubokawa ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 775 KB

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.