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Linearized Regression Model with Constraints of Type II
Authors:Lubomír Kubá?ek
Institution:(1) Department of Mathematical Analysis and Applied Mathematics, Faculty of Science, Palacký University, Tomkova 40, 779 00 Olomouc, Czech Republic
Abstract:A linearization of the nonlinear regression model causes a bias in estimators of model parameters. It can be eliminated, e.g., either by a proper choice of the point where the model is developed into the Taylor series or by quadratic corrections of linear estimators. The aim of the paper is to obtain formulae for biases and variances of estimators in linearized models and also for corrected estimators.
Keywords:nonlinear regression model  linearization  constraints of type II
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