Strong orthogonal arrays and associated Latin hypercubes for computer experiments

• 成果类型: Article
• 署名作者: He, Yuanzhen; Tang, Boxin
• 署名单位: Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Simon Fraser University
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/ass065
• 发表日期: 2013
• 页码: 254260
• 关键词: (t; m; s)-nets

摘要

This paper introduces, constructs and studies a new class of arrays, called strong orthogonal arrays, as suitable designs for computer experiments. A strong orthogonal array of strength t enjoys better space-filling properties than a comparable orthogonal array in all dimensions lower than t while retaining the space-filling properties of the latter in t dimensions. Latin hypercubes based on strong orthogonal arrays of strength t are more space-filling than comparable orthogonal array-based Latin hypercubes in all g dimensions for any 2 < g < t - 1.