Necessary and Sufficient Conditions for Consistency of Generalized M-Estimates.
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Friedrich Liese, Igor Vajda (1995)
Metrika
Eva Lešanská (2002)
Applications of Mathematics
The problem is to determine nonsensitiveness regions for threshold ellipsoids within a regular mixed linear model.
Lubomír Kubáček, Ludmila Kubáčková (2000)
Mathematica Slovaca
Tomáš Cipra (1986)
Commentationes Mathematicae Universitatis Carolinae
Júlia Volaufová (1988)
Aplikace matematiky
The paper deals with the estimation of the unknown vector parameter of the mean and the parameters of the variance in the general -stage linear model. Necessary and sufficient conditions for the existence of the uniformly minimum variance unbiased estimator (UMVUE) of the mean-parameter under the condition of normality are given. The commonly used least squares estimators are used to derive the expressions of UMVUE-s in a simple form.
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