Geodesic
Estimation of variance components in mixed linear models
Applications of Mathematics, Tome 37 (1992) no. 2, pp. 139-148

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MR Zbl
The MINQUE of the linear function $\int'\vartheta$ of the unknown variance-components parameter $\vartheta$ in mixed linear model under linear restrictions of the type $\bold R\vartheta = c$ is defined and derived. As an illustration of this estimator the example of the one-way classification model with the restrictions $\vartheta_1 = k\vartheta_2$, where $k \geq 0$, is given.
The MINQUE of the linear function $\int'\vartheta$ of the unknown variance-components parameter $\vartheta$ in mixed linear model under linear restrictions of the type $\bold R\vartheta = c$ is defined and derived. As an illustration of this estimator the example of the one-way classification model with the restrictions $\vartheta_1 = k\vartheta_2$, where $k \geq 0$, is given.
DOI : 10.21136/AM.1992.104497
Classification : 62F10, 62J05, 62J10
Keywords: minimum invariant quadratic estimators; MINQUE; mixed linear model; linear restrictions; one-way classification model 
Volaufová, Júlia; Witkovský, Viktor. Estimation of variance components in mixed linear models. Applications of Mathematics, Tome 37 (1992) no. 2, pp. 139-148. doi: 10.21136/AM.1992.104497
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