CONSTRUCTION OF NESTED SPACE-FILLING DESIGNS

• 成果类型: Article
• 署名作者: Qian, Peter Z. G.; Ai, Mingyao; Wu, C. F. Jeff
• 署名单位: University of Wisconsin System; University of Wisconsin Madison; Peking University; University System of Georgia; Georgia Institute of Technology
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/09-AOS690
• 发表日期: 2009
• 页码: 3616-3643
• 关键词: CENTRAL-LIMIT-THEOREM; orthogonal arrays; computer experiments; simulations; calibration; models; output

摘要

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.