A general rotation method for orthogonal Latin hypercubes

• 成果类型: Article
• 署名作者: Sun, Fasheng; Tang, Boxin
• 署名单位: Northeast Normal University - China; Simon Fraser University
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asx022
• 发表日期: 2017
• 页码: 465472
• 关键词: computer experiments; construction method; designs

摘要

Orthogonal Latin hypercubes provide a class of useful designs for computer experiments. Among the available methods for constructing such designs, the method of rotation is particularly prominent due to its theoretical appeal as well as its space-filling properties. This paper presents a general method of rotation for constructing orthogonal Latin hypercubes, making the rotation idea applicable to many more situations than the original method allows. In addition to general theoretical results, many new orthogonal Latin hypercubes are obtained and tabulated.