APPLICATIONS OF MATHEMATICS, Vol. 48, No. 2, pp. 81-95, 2003

Linearized models with constraints of type I

Lubomir Kubacek

L. Kubacek, Department of Mathematical Analysis and Applied Mathematics, Faculty of Science, Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: kubacekl@risc.upol.cz

Abstract: In nonlinear regression models with constraints a linearization of the model leads to a bias in estimators of parameters of the mean value of the observation vector. Some criteria how to recognize whether a linearization is possible is developed. In the case that they are not satisfied, it is necessary to decide whether some quadratic corrections can make the estimator better. The aim of the paper is to contribute to the solution of the problem.

Keywords: nonlinear regression model with constraints, linearization, quadratization

Classification (MSC 2000): 62J05, 62F10


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