Authors: Dette, Holger
Melas, Viatcheslav B.
Shpilev, Petr
Title: Optimal designs for estimating the slope in nonlinear regression
Language (ISO): en
Abstract: We consider the problem of estimating the slope of the expected response in nonlinear regression models. It is demonstrated that in many cases the optimal designs for estimating the slope are either on k or k - 1 points, where k denotes a number of unknown parameters in the model. It is also shown that the support points and weights of the optimal designs are analytic functions, and this result is used to construct a numerical procedure for the calculation of the optimal designs. The results are illustrated in exponential regression and rational regression models.
Subject Headings: Chebyshev system
C-optimal designs
implicit function theorem
nonlinear regression
Issue Date: 2009-08-20
Appears in Collections:Sonderforschungsbereich (SFB) 823

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