Optimal designs for a class of nonlinear regression models
Open Access
- 1 October 2004
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Statistics
- Vol. 32 (5) , 2142-2167
- https://doi.org/10.1214/009053604000000382
Abstract
For a broad class of nonlinear regression models we investigate the local E- and 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 f_0\equiv 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 E- and c-optimal design problem is solved explicitly in many cases.Keywords
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