摘要
偏差(Discrepancy)作为布点设计均匀性的一个重要度量准则,已被使用很长时间,但对它的性质还研究得很不够.该文从模平移的方面系统地研究了偏差的性质,给出了在超立方体中一个布点设计按整体、大格子、小格子各种模平移的偏差大样本性质,这些性质对于计算机试验引进有关的设计和抽样方法起着重要的作用.
It is long time to use the discrepancy as criterion to measure uniformity of a design, but its properties isn't enough researched. In this paper, based on shifting methodsome properties of discrepancy are systematically given, including properties of whole, bigcell and small cell shifting. These properties play important roles for constructing designsand samplings.
出处
《数学物理学报(A辑)》
CSCD
北大核心
1999年第4期439-447,共9页
Acta Mathematica Scientia
基金
国家自然科学基金
关键词
计算机试验
偏差
均匀设计抽样
大样本性质
Computer experiments, Discrepancy, Uniform design, OA-based Latin hypercube sampling, Uniform design sampling, OA-based uniform LH sampling.