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.
Classification :
62F30, 62H12, 62J05
Keywords: regular linear regression model; nuisance parameters; BLUE; constraints
Keywords: regular linear regression model; nuisance parameters; BLUE; constraints
@article{AUPO_2007__46_1_a5,
author = {Kunderov\'a, Pavla},
title = {Eliminating transformations for nuisance parameters in linear regression models with type {I} constraints},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {51--64},
publisher = {mathdoc},
volume = {46},
number = {1},
year = {2007},
mrnumber = {2387493},
zbl = {1139.62035},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2007__46_1_a5/}
}
TY - JOUR AU - Kunderová, Pavla TI - Eliminating transformations for nuisance parameters in linear regression models with type I constraints JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 2007 SP - 51 EP - 64 VL - 46 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AUPO_2007__46_1_a5/ LA - en ID - AUPO_2007__46_1_a5 ER -
%0 Journal Article %A Kunderová, Pavla %T Eliminating transformations for nuisance parameters in linear regression models with type I constraints %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 2007 %P 51-64 %V 46 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/AUPO_2007__46_1_a5/ %G en %F AUPO_2007__46_1_a5
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/