ArticleOriginal scientific text
Title
Weakly nonlinear regression model with constraints I: nonlinear hypothesis
Authors 1, 2
Affiliations
- Department of Mathematical Analysis and Applied Mathematics, Faculty of Science, Palacký Univesity, Tomkova 40, CZ-779 00 Olomouc
- Department of Algebra and Geometry, Faculty of Science, Palacký Univesity, Tomkova 40, CZ-779 00 Olomouc
Abstract
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
Bibliography
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Pages:
115-133
Main language of publication
English
Received
2005-04-27
Published
2005
DOI: 10.7151/dmps.1065
Exact and natural sciences