English

Construction of nested space-filling designs

Statistics Theory 2009-09-04 v1 Statistics Theory

Abstract

New types of designs called nested space-filling designs have been proposed for conducting multiple computer experiments with different levels of accuracy. In this article, we develop several approaches to constructing such designs. The development of these methods also leads to the introduction of several new discrete mathematics concepts, including nested orthogonal arrays and nested difference matrices.

Keywords

Cite

@article{arxiv.0909.0598,
  title  = {Construction of nested space-filling designs},
  author = {Peter Z. G. Qian and Mingyao Ai and C. F. Jeff Wu},
  journal= {arXiv preprint arXiv:0909.0598},
  year   = {2009}
}

Comments

Published in at http://dx.doi.org/10.1214/09-AOS690 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)

R2 v1 2026-06-21T13:42:09.078Z