共查询到19条相似文献,搜索用时 156 毫秒
1.
2.
3.
4.
从设计到抽样 总被引:1,自引:1,他引:0
马长兴 《数学物理学报(A辑)》1999,19(2):149-153
张润楚,王兆军(1996)提出了均匀设计抽样,将均匀设计变成抽样.本文给出一种由设计到抽样的一般方法,它可以将任何一个有优良均匀性的设计点集变成所有样本都有同样优良均匀性的抽样。 相似文献
5.
正交表型均匀LH设计和抽样 总被引:5,自引:1,他引:4
本文提出了一种新的设计和抽样方法-正交表型均匀LH设计和抽样,证明了这种抽样空间是OALH抽样空间的优良子集。这种设计和抽样空间中所有样本都与初始设计具有同阶低偏差等一些优良性质。并将它用于数值积分,证明了对有关参数的估计的方差阶低于其他抽样。同时还给出了有关的模拟结果。 相似文献
6.
均匀设计及其应用(Ⅲ) 总被引:12,自引:0,他引:12
均匀设计及其应用(Ⅲ)方开泰第三章均匀设计表的构造本章介绍均匀设计表的构造和使用表的来源,其中涉及到均匀度的度量。在理解了表的构造原理冬我们就能比较灵活地运用均匀设计,故本章也介绍均匀设计这方面的知识。§1均匀设计表的构造定义1:每一个均匀设计表是一... 相似文献
7.
混水平均匀设计的构造 总被引:2,自引:0,他引:2
我们用离散偏差来度量部分因子设计的均匀性,本文的目的在于寻找一些构造混水平均匀设计的方法,这些方法比文献中已有的方法更简单且计算成本更低.我们得到了离散偏差的一个下界,如果一个U 型设计的离散偏差值达到这个下界,那么该设计是—个均匀设计.我们建立了均匀设计与组合设计理论中一致可分解设计之间的联系.通过一致可分解设计,我们提出了一些构造均匀设计的新方法,同时也给出了许多均匀设计存在的无穷类. 相似文献
8.
9.
10.
11.
In this paper, an easy and effective construction method of Sudoku designs with any order is provided based on the right shift operator. Based on the constructed Sudoku designs, a class of Sudoku-based uniform designs is constructed. Moreover, the properties of the constructed Sudoku designs and Sudoku-based uniform designs are investigated, it is shown that both the constructed Sudoku designs and Sudoku-based uniform designs are uniform designs in terms of discrete discrepancy. 相似文献
12.
A uniform design scatters its design points evenly on the experimental domain according to some discrepancy measure. In this paper all the design points of a full factorial design can be split into two subdesigns. One is called the complementary design of the other. The complementary design theories of characterizing one design through the other under the four commonly used discrepancy measures are investigated. Based on these complementary design theories, some general rules for searching uniform designs through their complementary designs are proposed. An efficient method to check if a design has repeated points is introduced and a modified threshold-accepting algorithm is proposed to search uniform or nearly uniform designs without replications. The new algorithm is shown to be more efficient by comparing with other existing methods. Many new uniform or nearly uniform designs without replications are tabulated and compared. 相似文献
13.
LIU Minqian & FANG Kaitai Department of Statistics Nankai University Tianjin China Department of Mathematics Hong Kong Baptist University Hong Kong China 《中国科学A辑(英文版)》2005,48(4):503-512
This paper is concerned with the uniformity of a certain kind of resolvable incomplete block (RIB for simplicity) design which is called the PRIB design here. A sufficient and necessary condition is obtained, under which a PRIB design is the most uniform in the sense of a discrete discrepancy measure, and the uniform PRIB design is shown to be connected. A construction method for such designs via a kind of U-type designs is proposed, and an existence result of these designs is given. This method sets up an important bridge between PRIB designs and U-type designs. 相似文献
14.
15.
Uniform supersaturated design and its construction 总被引:6,自引:0,他引:6
Supersaturated designs are factorial designs in which the number of main effects is greater than the number of experimental
runs. In this paper, a discrete discrepancy is proposed as a measure of uniformity for supersaturated designs, and a lower
bound of this discrepancy is obtained as a benchmark of design uniformity. A construction method for uniform supersaturated
designs via resolvable balanced incomplete block designs is also presented along with the investigation of properties of the
resulting designs. The construction method shows a strong link between these two different kinds of designs 相似文献
16.
Orthogonal array-based uniform Latin hypercube design(uniform OALHD) is a class of orthogonal array-based Latin hypercube designs to have the best uniformity. In this paper, we provide a less computational algorithm to construct uniform OALHD in 2-dimensional space from Bundschuh and Zhu(1993). And some uniform OALHDs are con- structed by using our method. 相似文献
17.
Multiplicative designs, square designs with a rank one intersection pattern, are investigated. In particular we determine all designs for which some incidence matrix is reducible and we show if some incidence matrix is normal the design must be uniform with three families of exceptions. Some new designs are constructed. 相似文献
18.
19.
《中国科学 数学(英文版)》2021,(6)
The orthogonal Latin hypercube design and its relaxation, and column-orthogonal design, are two kinds of orthogonal designs for computer experiments. However, they usually do not achieve maximum stratifications in multi-dimensional margins. In this paper, we propose some methods to construct column-orthogonal designs with multi-dimensional stratifications by rotating symmetric and asymmetric orthogonal arrays. The newly constructed column-orthogonal designs ensure that the estimates of all linear effects are uncorrelated with each other and even uncorrelated with the estimates of all second-order effects(quadratic effects and bilinear effects) when the rotated orthogonal arrays have strength larger than two. Besides orthogonality, the resulting designs also preserve better space-filling properties than those constructed by using the existing methods. In addition, we provide a method to construct a new class of orthogonal Latin hypercube designs with multi-dimensional stratifications by rotating regular factorial designs. Some newly constructed orthogonal Latin hypercube designs are tabulated for practical use. 相似文献