Equalities between the BLUEs and BLUPs under the partitioned linear fixed model and the corresponding mixed model
Acta et Commentationes Universitatis Tartuensis de Mathematica
In this article we consider the partitioned fixed linear model F: Y = X1β1+ X2β2 + ε" and the corresponding mixed model M: Y =X1β1+X2u+ ε, where ε is a random error vector and u is a random effect vector. In 2006, Isotalo, M¨ols, and Puntanen found conditions under which an arbitrary representation of the best linear unbiased estimator (BLUE) of an estimable parametric function of β1in the fixed model F remains BLUE in the mixed model M. In this paper we extend the results concerning further equalities arising from models F and M.
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