Construction of Improved Branching Latin Hypercube Designs

被引：2

作者：

Chen, Hao ^{[1
]}

Yang, Jinyu ^{[2
,3
]}

Liu, Min-Qian ^{[2
,3
]}

机构：

[1] Tianjin Univ Finance & Econ, Sch Stat, Tianjin 300222, Peoples R China

[2] Nankai Univ, Sch Stat & Data Sci, LPMC, Tianjin 300071, Peoples R China

[3] Nankai Univ, KLMDASR, Tianjin 300071, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2021年 / 41卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Branching and nested factors; computer experiment; Gaussian process model; orthogonality; COMPUTER EXPERIMENTS;

D O I：

10.1007/s10473-021-0401-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose a new method, called the level-collapsing method, to construct branching Latin hypercube designs (BLHDs). The obtained design has a sliced structure in the third part, that is, the part for the shared factors, which is desirable for the qualitative branching factors. The construction method is easy to implement, and (near) orthogonality can be achieved in the obtained BLHDs. A simulation example is provided to illustrate the effectiveness of the new designs.

引用

页码：1023 / 1033

页数：11

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