Asymptotic optimal designs under long-range dependence error structure
Statistics Theory
2012-05-15 v2 Statistics Theory
Abstract
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.
Cite
@article{arxiv.1001.1817,
title = {Asymptotic optimal designs under long-range dependence error structure},
author = {Holger Dette and Nikolai Leonenko and Andrey Pepelyshev and Anatoly Zhigljavsky},
journal= {arXiv preprint arXiv:1001.1817},
year = {2012}
}
Comments
Published in at http://dx.doi.org/10.3150/09-BEJ185 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)