Geodesic
Joint estimation for normal orthogonal mixed models
Discussiones Mathematicae. Probability and Statistics, Tome 27 (2007) no. 1-2, pp. 5-13

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Commutative Jordan algebras are used to express the structure of mixed orthogonal models and to derive complete sufficient statistics. From these statistics, UMVUE, (Uniformly Minimum Variance Unbiased Estimators), are derived for the relevant parameters, first of single models then of several such models. These models may correspond to experiments designed separately so our results may be seen as a contribution to this meta-analysis.
Keywords: normal orthogonal mixed models, commutative Jordan algebras, meta-analysis 
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de Jesus, Vera; Ferreira, Sandra; Mexia, João. Joint estimation for normal orthogonal mixed models. Discussiones Mathematicae. Probability and Statistics, Tome 27 (2007) no. 1-2, pp. 5-13. http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a0/