Geodesic
Variance components and nonlinearity
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 45 (2006) no. 1, pp. 89-101 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Unknown parameters of the covariance matrix (variance components) of the observation vector in regression models are an unpleasant obstacle in a construction of the best estimator of the unknown parameters of the mean value of the observation vector. Estimators of variance componets must be utilized and then it is difficult to obtain the distribution of the estimators of the mean value parameters. The situation is more complicated in the case of nonlinearity of the regression model. The aim of the paper is to contribute to a solution of the mentioned problem.
Unknown parameters of the covariance matrix (variance components) of the observation vector in regression models are an unpleasant obstacle in a construction of the best estimator of the unknown parameters of the mean value of the observation vector. Estimators of variance componets must be utilized and then it is difficult to obtain the distribution of the estimators of the mean value parameters. The situation is more complicated in the case of nonlinearity of the regression model. The aim of the paper is to contribute to a solution of the mentioned problem.
Classification : 62F10, 62H12, 62J02, 62J05, 62N02
Keywords: variance components; nonlinear regression model; linearization region; insensitiveness region 
@article{AUPO_2006_45_1_a8,
     author = {Kub\'a\v{c}ek, Lubom{\'\i}r and Tesa\v{r}{\'\i}kov\'a, Eva},
     title = {Variance components and nonlinearity},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {89--101},
     year = {2006},
     volume = {45},
     number = {1},
     mrnumber = {2321301},
     zbl = {1117.62058},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPO_2006_45_1_a8/}
}
TY  - JOUR
AU  - Kubáček, Lubomír
AU  - Tesaříková, Eva
TI  - Variance components and nonlinearity
JO  - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY  - 2006
SP  - 89
EP  - 101
VL  - 45
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AUPO_2006_45_1_a8/
LA  - en
ID  - AUPO_2006_45_1_a8
ER  - 
%0 Journal Article
%A Kubáček, Lubomír
%A Tesaříková, Eva
%T Variance components and nonlinearity
%J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
%D 2006
%P 89-101
%V 45
%N 1
%U http://geodesic.mathdoc.fr/item/AUPO_2006_45_1_a8/
%G en
%F AUPO_2006_45_1_a8
Kubáček, Lubomír; Tesaříková, Eva. Variance components and nonlinearity. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 45 (2006) no. 1, pp. 89-101. http://geodesic.mathdoc.fr/item/AUPO_2006_45_1_a8/