Optimal designs for a class of nonlinear regression models
نویسندگان
چکیده
For a broad class of nonlinear regression models we investigate the local Eand c-optimal design problem. It is demonstrated that in many cases the optimal designs with respect to these optimality criteria are supported at the Chebyshev points, which are the local extrema of the equi-oscillating best approximation of the function f0 ≡ 0 by a normalized linear combination of the regression functions in the corresponding linearized model. The class of models includes rational, logistic and exponential models and for the rational regression models the Eand c-optimal design problem is solved explicitly in many cases.
منابع مشابه
Optimal Designs for a Class of Nonlinear Regression Models by Holger Dette,1 Viatcheslav B. Melas
For a broad class of nonlinear regression models we investigate the local Eand c-optimal design problem. It is demonstrated that in many cases the optimal designs with respect to these optimality criteria are supported at the Chebyshev points, which are the local extrema of the equi-oscillating best approximation of the function f0 ≡ 0 by a normalized linear combination of the regression functi...
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