Geodesic
Quadratic estimations in mixed linear models
Applications of Mathematics, Tome 36 (1991) no. 2, pp. 134-144.

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In the paper four types of estimations of the linear function of the variance components are presented for the mixed linear model $\bold{Y=X \beta + e}$ with expectation $E(\bold{Y)=X \beta}$ and covariance matrix $D(\bold{Y)=0_1V_1 + ... + 0_mV_m}$.
DOI : 10.21136/AM.1991.104450
Classification : 62F10, 62J10, 62J99
Keywords: mixed linear model; minimum norm quadratic estimation; variance components; first order fixed parameter unknowns; second order fixed parameter unknowns; invariant for translations 
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     author = {Varga, \v{S}tefan},
     title = {Quadratic estimations in mixed linear models},
     journal = {Applications of Mathematics},
     pages = {134--144},
     publisher = {mathdoc},
     volume = {36},
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     zbl = {0742.62074},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104450/}
}
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Varga, Štefan. Quadratic estimations in mixed linear models. Applications of Mathematics, Tome 36 (1991) no. 2, pp. 134-144. doi : 10.21136/AM.1991.104450. http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104450/

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