On the maximin distance properties of orthogonal designs via rotation

发布时间：2021-05-31 作者：77779193永利官网浏览次数：

Speaker:	王亚平	DateTime:	2021年6月4日（周五）下午16:00-16:50
Brief Introduction to Speaker: 王亚平，华东师范大学经济与管理学部统计学院助理教授，2018年于北京大学获得概率论与数理统计博士学位，博士期间曾经访问美国加州大学洛杉矶分校。主要研究方向为试验设计与分析，计算机试验，响应曲面设计，应用统计等。在包括《The Annals of Statistics》和《Biometrika》等国际顶级统计期刊上发表学术论文六篇。入选2019年度上海市“扬帆计划”。		Place:	六号楼二楼报告厅
Abstract:Space-filling designs are widely used in computer experiments. They are often evaluated by the orthogonality and distance-related criteria. Rotating orthogonal arrays constitutes an appealing approach to constructing orthogonal space-filling designs. An important issue that has been rarely addressed in the literature is the design selection for the initial orthogonal arrays. This paper studies the maximin L2-distance properties of orthogonal designs generated by rotating two-level orthogonal arrays under three measures. We provide theoretical justifications for the rotation method from a maximin distance perspective and further propose to select initial orthogonal arrays by the minimum G2-aberration criterion. As applications, new infinite families of orthogonal or 3-orthogonal U-type designs, which also perform well under the maximin distance criterion, are obtained and tabulated.

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