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Eliminating transformations for nuisance parameters in linear regression models with type I constraints
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 46 (2007) no. 1, pp. 51-64

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The linear regression model in which the vector of the first order parameter is divided into two parts: to the vector of the useful parameters and to the vector of the nuisance parameters is considered. The type I constraints are given on the useful parameters. We examine eliminating transformations which eliminate the nuisance parameters without loss of information on the useful parameters.
The linear regression model in which the vector of the first order parameter is divided into two parts: to the vector of the useful parameters and to the vector of the nuisance parameters is considered. The type I constraints are given on the useful parameters. We examine eliminating transformations which eliminate the nuisance parameters without loss of information on the useful parameters.
Classification : 62F30, 62H12, 62J05
Keywords: regular linear regression model; nuisance parameters; BLUE; constraints 
Kunderová, Pavla. Eliminating transformations for nuisance parameters in linear regression models with type I constraints. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 46 (2007) no. 1, pp. 51-64. http://geodesic.mathdoc.fr/item/AUPO_2007_46_1_a5/
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