时 间：2026年11月6日（周五）10：00 - 11：00
地 点：普陀校区理科大楼A614室
报告人：姜博川 北京交通大学副教授
邀请人：王亚平 华东师范大学统计学院
摘 要：
Space-filling designs with superior low-dimensional properties are highly required in computer experiments. Strong orthogonal arrays (SOAs) represent a class of such designs that outperform ordinary orthogonal arrays in their stratification properties within low dimensions. Nevertheless, existing methods for constructing SOAs often rely on regular designs, thereby restricting the run sizes to prime powers. This study presents new construction methods for three types of designs: SOAs of strength two plus, column-orthogonal SOAs (OSOAs) of strength two plus, and SOAs of strength three. The resulting designs have run sizes equal to twice an odd prime power and contain no replicated runs, filling gaps in run sizes left by existing constructions. The projection properties of Addelman–Kempthorne orthogonal arrays are instrumental in the development of these construction methods.
报告人简介：
姜博川，副教授，本科和博士就读于北京大学数学科学学院，2020年加入北京交通大学数学与统计学院。目前主要致力于计算机试验的统计设计理论与应用研究，主持1项国家自然科学基金“青年基金”项目，相关研究成果发表在Science China Mathematics, Statistica Sinica, Annals of the Institute of Statistical Mathematics, Journal of Statistical Planning and Inference, Journal of Complexity, Metrika 和 Statistics and Probability Letters 等统计学国际期刊上。