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.
Estimation of variance components in dynamic linear models
β Scribed by Shelemyahu Zacks; Xiaodong Wang
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 91 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
Two types of recursive estimators are developed for the variance components 2 and 2 of the dynamic linear model: non-Bayesian and Bayesian. From a frequentist point of view, both types of estimators are mean square consistent. The non-Bayesian estimator of 2 is also unbiased.
π SIMILAR VOLUMES
The problem of estimating unknown observational variances in multivariate dynamic linear models is considered. Conjugate procedures are possible for univariate models and also for special very restrictive common components models but they are not generally applicable. However, for clarity of operati
The main purpose of this paper is to treat an unsolved problem discussed by S.K. Mitra (1977) concerning the solution of matrix equations which occur in the MINQUE theory of estimatin covariance components model of C.R. Rao (1972 3 covariance components in a . Canonical representation of a singular