Asymptotic optimal designs under long-range dependence error structure

Details Asymptotic optimal designs under long-range dependence error structure Asymptotic optimal designs under long-range dependence error structure

2010-01-12

arxiv.org/abs/1001.1817v1

Bernoulli 2009, Vol. 15, No. 4, 1036-1056

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.3150/09-BEJ185 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statisti

Scientific paper

10.3150/09-BEJ185

We discuss the optimal design problem in regression models with long-range dependence error structure. Asymptotic optimal designs are derived and it is demonstrated that these designs depend only indirectly on the correlation function. Several examples are investigated to illustrate the theory. Finally, the optimal designs are compared with asymptotic optimal designs which were derived by Bickel and Herzberg [Ann. Statist. 7 (1979) 77--95] for regression models with short-range dependent error.

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