OPTIMAL MAXIMIN L1-DISTANCE LATIN HYPERCUBE DESIGNS BASED ON GOOD LATTICE POINT DESIGNS

• 成果类型: Article
• 署名作者: Wang, Lin; Xiao, Qian; Xu, Hongquan
• 署名单位: University of California System; University of California Los Angeles; University System of Georgia; University of Georgia
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/17-AOS1674
• 发表日期: 2018
• 页码: 3741-3766
• 关键词: strong orthogonal arrays; CONSTRUCTION

摘要

Maximin distance Latin hypercube designs are commonly used for computer experiments, but the construction of such designs is challenging. We construct a series of maximin Latin hypercube designs via Williams transformations of good lattice point designs. Some constructed designs are optimal under the maximin L-1-distance criterion, while others are asymptotically optimal. Moreover, these designs are also shown to have small pairwise correlations between columns.