LEAST-SQUARES AND MINIMUM MSE ESTIMATORS OF VARIANCE-COMPONENTS IN MIXED LINEAR-MODELS

被引:3
作者
VOLAUFOVA, J [1 ]
WITKOVSKY, V [1 ]
机构
[1] SLOVAK ACAD SCI,INST MEASUREMENT SCI,CS-84219 BRATISLAVA,CZECHOSLOVAKIA
关键词
MIXED LINEAR MODEL; VARIANCE-COVARIANCE COMPONENTS MODEL; QUADRATIC ESTIMATOR; LEAST SQUARES ESTIMATOR; LOCALLY BEST-MEAN SQUARE ERROR ESTIMATOR;
D O I
10.1002/bimj.4710330805
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The paper deals with the quadratic invariant estimators of the linear functions of variance components in mixed linear model. The estimator with locally minimal mean square error with respect to a parameter curly-theta is derived. Under the condition of normality of the vector Y the theoretical values of MSE of several types of estimators are compared in two different mixed models; under a different types of distributions a simulation study is carried out for the behaviour of derived estimators.
引用
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页码:923 / 936
页数:14
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