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A choice of criterion parameters in a linearization of regression models. (English) Zbl 0845.62047
There are many results obtained in the theory of nonlinear regression models; nevertheless much more and simpler inferences may be made in linear models. Thus it is of some importance to analyze situations where a nonlinear model can be substituted by a linear one. Several parameters (criterion parameters) have to be chosen and it is shown that some relations among these parameters and some natural restrictions on them exist.

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