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Recovery of inter-block information: extensions in a two variance component model |
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| Authors: | Amina A. Saleh Youngio Lee Justus Seely |
| Affiliation: | 1. Department of Applied Statistics and Econometrics , Cairo University , Cario, Egypt;2. Department of Computer Science &3. Statistics , Seoul National University , Seoul, Korea;4. Department of Statistics , Oregon State University , Corvallis, OR, 97331 |
| Abstract: | For a two variance component mixed linear model, it is shown that under suitable conditions there exists a nonlinear unbiased estimator that is better than a best linear unbiased estimator defined with respect to a given singular covariance matrix. It is also shown how this result applies to improving on intra-block estimators and on estimators like the unweighted means estimator in a random one-way model. |
| Keywords: | mixed linear model best linear unbiased estimator intra-block estimator unweighted means estimator |