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Sequentially weighted uniform designs

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成果类型:
期刊论文
作者:
Xiao, Yao;Wang, Shiqi;Qin, Hong;Ning, Jianhui
通讯作者:
Jianhui Ning
作者机构:
[Qin, Hong; Xiao, Yao] Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan, Peoples R China.
[Qin, Hong; Wang, Shiqi; Ning, Jianhui] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.
通讯机构:
[Jianhui Ning] S
School of Mathematics and Statistics, Central China Normal University, Wuhan, People's Republic of China
语种:
英文
关键词:
Weighted uniform designs;sequential designs;weighted discrepancy;Gaussian process model
期刊:
Statistics
ISSN:
0233-1888
年:
2023
卷:
57
期:
3
页码:
534-553
基金类别:
National Natural Science Foundation of China [11871237, 12001540]; Discipline Coordination Construction Project of Zhongnan University of Economics and Law [XKHJ202125]; Fundamental Research Funds for the Central Universities of Central China Normal University [CCNU22JC023]
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
Uniform designs seek to distribute design points uniformly in the experimental domain. Some discrepancies have been developed to measure the uniformity by treating all factors equally. It is reason-able when there exists no prior information about the system or when the potential model is completely unclear. However, in the sit-uation of sequential designs, experimental information, such as the importance of each factor, would be obtained from previous stage experiments. With this fact, the weighted L-2-discrepancy is more suit-able than the original discrepancy for choosing follow-up designs....

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