On the connection between maximin distance designs and orthogonal designs

• 成果类型: Article
• 署名作者: Wang, Yaping; Yang, Jianfeng; Xu, Hongquan
• 署名单位: Peking University; Nankai University; University of California System; University of California Los Angeles
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asy005
• 发表日期: 2018
• 页码: 471477
• 关键词: latin hypercube designs; fractional factorial-designs; computer experiments

摘要

Maximin distance designs and orthogonal designs are widely used in computer and physical experiments. We characterize a broad class of maximin distance designs by establishing new bounds on the minimum intersite distance for mirror-symmetric and general U-type designs. We showthat maximin distance designs and orthogonal designs are closely related and coincide under some conditions.