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