Partial optimum estimator in two stage regression model with constraints and a problem of equivalence
Lubomír Kubáček, Jaroslav Marek (2005)
Mathematica Slovaca
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Lubomír Kubáček, Jaroslav Marek (2005)
Mathematica Slovaca
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Pavla Kunderová (2003)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Lubomír Kubáček (1985)
Mathematica Slovaca
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Lubomír Kubáček (2007)
Mathematica Slovaca
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Júlia Volaufová (1987)
Aplikace matematiky
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The paper deals with the estimation of unknown vector parameter of mean and scalar parameters of variance as well in two-stage linear model, which is a special type of mixed linear model. The necessary and sufficient condition for the existence of uniformly best unbiased estimator of parameter of means is given. The explicite formulas for these estimators and for the estimators of the parameters of variance as well are derived.