1989•Journal of Multivariate AnalysisOpen access

Admissible linear estimators in mixed linear models

Czesław Stępniak

Abstract

Inhomogeneous linear estimation in the general mixed model with possible singular covariance matrix is considered. It is shown that this problem reduces to the homogeneous linear estimation in a simpler model. In consequence, some necessary and sufficient conditions for the admissibility are derived from Rao (1976, Ann. Statist. 4 1023–1037).

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Key concepts: Mathematics, Applied mathematics, Estimator, Generalized linear mixed model, Linear model, Best linear unbiased prediction, Homogeneous, Matrix (chemical analysis)