Space-filling properties of good lattice point sets

• 成果类型: Article
• 署名作者: Zhou, Yongdao; Xu, Hongquan
• 署名单位: Sichuan University; University of California System; University of California Los Angeles
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asv044
• 发表日期: 2015
• 页码: 959966
• 关键词: latin hypercube designs; fractional factorial-designs; computational experiments

摘要

We study space-filling properties of good lattice point sets and obtain some general theoretical results. We show that linear level permutation does not decrease the minimum distance for good lattice point sets, and we identify several classes of such sets with large minimum distance. Based on good lattice point sets, some maximin distance designs are also constructed.