scholarly journals Confidence regions in nonlinear regression models

1992 ◽  
Vol 37 (1) ◽  
pp. 29-39 ◽  
Author(s):  
Rastislav Potocký ◽  
Van Ban To
Keyword(s):  
Nonlinear Regression ◽  
Regression Models ◽  
Confidence Regions ◽  
Nonlinear Regression Models

Reparameterization of weakly nonlinear regression models with constraints

2016 ◽  
Vol 66 (3) ◽  
Author(s):  
Lubomír Kubáček ◽  
Gejza Wimmer
Keyword(s):  
Nonlinear Regression ◽  
Regression Models ◽  
Confidence Regions ◽  
Weakly Nonlinear ◽  
Nonlinear Regression Models ◽  
Parameter Estimators

AbstractThere are several ways how to redefine the Bates and Watts curvatures in models with constraints. One of possible approaches is based on a reparametrization of models. It enables us to construct linearization regions for the bias of parameter estimators, for the confidence regions, etc., in an easy way.

Confidence regions in singular weakly nonlinear regression models with constraints

2016 ◽  
Vol 66 (1) ◽  
Author(s):  
Lubomír Kubáček
Keyword(s):  
Regression Model ◽  
Nonlinear Regression ◽  
Regression Models ◽  
Confidence Region ◽  
Confidence Regions ◽  
Nonlinear Regression Model ◽  
Weakly Nonlinear ◽  
Nonlinear Regression Models ◽  
Linearized Model ◽  
Confidence Ellipsoid

AbstractIt is rather complicated to construct the confidence region in nonlinear regression model mainly when number of parameters is large. If the nonlinearity of the model is weak, then it is possible, after some modification, to approximate the confidence region by a confidence ellipsoid in the linearized model. The aim of the paper is to propose a solution in singular models with constraints.

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