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抽样设计偏差的大样本性质
引用本文:马长兴,张润楚. 抽样设计偏差的大样本性质[J]. 数学物理学报(A辑), 1999, 19(4): 439-447
作者姓名:马长兴  张润楚
作者单位:南开大学数学系!天津300071
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.

关 键 词:计算机试验  偏差(discrepancy)  均匀设计  OALH抽样  均匀设计抽样  基于正交表的均匀LH设计和抽样

Large Sample Properties of Discrepancies
Ma Changxing. Large Sample Properties of Discrepancies[J]. Acta Mathematica Scientia, 1999, 19(4): 439-447
Authors:Ma Changxing
Abstract:
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.
Keywords:Computer experiments   Discrepancy   Uniform design   OA-based Latin hypercube sampling   Uniform design sampling   OA-based uniform LH sampling.
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