Geodesic
Weakly nonlinear regression model with constraints I: nonlinear hypothesis
Discussiones Mathematicae. Probability and Statistics, Tome 25 (2005) no. 1, pp. 115-133

Voir la notice de l'article provenant de la source Library of Science

The problem considered is under which conditions in weakly nonlinear regression model with constraints I a weakly nonlinear hypothesis can be tested by linear methods. The aim of the paper is to find a region around the approximate value of the regression parameter with the following property. If we are certain that the actual value of the regression parameter is in this region, then the linear method of testing can be used without any significant deterioration of the inference.
Keywords: regression model with constraints, nonlinear hypothesis, linearization 
@article{DMPS_2005_25_1_a7,
     author = {Kub\'acek, Lubom{\'\i}r and Tesar{\'\i}kov\'a, Eva},
     title = {Weakly nonlinear regression model with constraints {I:} nonlinear hypothesis},
     journal = {Discussiones Mathematicae. Probability and Statistics},
     pages = {115--133},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMPS_2005_25_1_a7/}
}
TY  - JOUR
AU  - Kubácek, Lubomír
AU  - Tesaríková, Eva
TI  - Weakly nonlinear regression model with constraints I: nonlinear hypothesis
JO  - Discussiones Mathematicae. Probability and Statistics
PY  - 2005
SP  - 115
EP  - 133
VL  - 25
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMPS_2005_25_1_a7/
LA  - en
ID  - DMPS_2005_25_1_a7
ER  - 
%0 Journal Article
%A Kubácek, Lubomír
%A Tesaríková, Eva
%T Weakly nonlinear regression model with constraints I: nonlinear hypothesis
%J Discussiones Mathematicae. Probability and Statistics
%D 2005
%P 115-133
%V 25
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMPS_2005_25_1_a7/
%G en
%F DMPS_2005_25_1_a7
Kubácek, Lubomír; Tesaríková, Eva. Weakly nonlinear regression model with constraints I: nonlinear hypothesis. Discussiones Mathematicae. Probability and Statistics, Tome 25 (2005) no. 1, pp. 115-133. http://geodesic.mathdoc.fr/item/DMPS_2005_25_1_a7/