STRONG ORTHOGONAL ARRAYS OF STRENGTH TWO PLUS
成果类型：
Article
署名作者：
He, Yuanzhen; Cheng, Ching-Shui; Tang, Boxin
署名单位：
Beijing Normal University; Academia Sinica - Taiwan; Simon Fraser University
刊物名称：
ANNALS OF STATISTICS
ISSN/ISSBN：
0090-5364
DOI：
10.1214/17-AOS1555
发表日期：
2018
页码：
457-468
关键词：
摘要：
Strong orthogonal arrays were recently introduced and studied in He and Tang [Biometrika 100 (2013) 254-260] as a class of space-filling designs for computer experiments. To enjoy the benefits of better space-filling properties, when compared to ordinary orthogonal arrays, strong orthogonal arrays need to have strength three or higher, which may require run sizes that are too large for experimenters to afford. To address this problem, we introduce a new class of arrays, called strong orthogonal arrays of strength two plus. These arrays, while being more economical than strong orthogonal arrays of strength three, still enjoy the better two-dimensional space-filling property of the latter. Among the many results we have obtained on the characterizations and constructions of strong orthogonal arrays of strength two plus, worth special mention is their intimate connection with second-order saturated designs.