Linearized regression model with constraints of type II. (English) Zbl 1099.62522

Summary: 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.


62J02 General nonlinear regression
62J05 Linear regression; mixed models
62F10 Point estimation
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