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Robust discrimination designs
Authors:Douglas P. Wiens
Affiliation:University of Alberta, Edmonton, Canada
Abstract:Summary.  We study the construction of experimental designs, the purpose of which is to aid in the discrimination between two possibly non-linear regression models, each of which might be only approximately specified. A rough description of our approach is that we impose neighbourhood structures on each regression response and determine the members of these neighbourhoods which are least favourable in the sense of minimizing the Kullback–Leibler divergence. Designs are obtained which maximize this minimum divergence. Both static and sequential approaches are studied. We then consider sequential designs whose purpose is initially to discriminate, but which move their emphasis towards efficient estimation or prediction as one model becomes favoured over the other.
Keywords:Discrimination    D–T-optimality    Integrated Kullback–Leibler optimality    Kullback– Leibler    Kullback–Leibler optimality    Maximin    Michaelis–Menten model    Neyman–Pearson test    Non-linear regression    Robustness    Sequential designs    Simulated annealing    T-optimal design
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