Optimal Estimators in Mixed Models with Orthogonal Block Structures

Ferreira, Dário; Ferreira, Sandra S.; Nunes, Célia; Mexia, João T.

http://hdl.handle.net/10400.6/9148

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2018 - Optimal Estimators in Mixed Models with Orthogonal Block Structures. Stochastic Modeling, Recent Studies on Risk Analysis and Statistical Modeling.pdf		625.73 KB	Adobe PDF	Ver/Abrir

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Mixed models whose variance–covariance matrices are the positive definite linear combinations of pairwise orthogonal orthogonal projection matrices have orthogonal block structure. Here, we will obtain uniformly minimum-variance unbiased estimators for the relevant parameters when normality is assumed and we show that those for estimable vectors are, in general, uniformly best linear unbiased estimators. This is, they are best linear unbiased estimators whatever the variance components.