Some new families of asymmetric nested orthogonal arrays with any strength

被引：0

作者：

Pang, Shanqi ^{[1
]}

Zhu, Yan ^{[1
]}

Lin, Xiao ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

来源：

STATISTICS & PROBABILITY LETTERS | 2024年 / 214卷

基金：

中国国家自然科学基金;

关键词：

Asymmetric nested orthogonal array; Design of experiments; Difference scheme; Generalized sum of matrices; Orthogonal partitions; CONSTRUCTION; EXISTENCE;

D O I：

10.1016/j.spl.2024.110219

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We propose a general method for constructing asymmetric nested orthogonal arrays (NOAs) with any strength via a newly defined matrix operation. The NOAs obtained can recursively produce other new NOAs. A lot of selective new asymmetric NOAs are tabulated.

引用

页数：7

共 50 条

[21] A New Class of Strong Orthogonal Arrays of Strength Three
Chunyan Wang
Min-Qian Liu
Jinyu Yang
Journal of Systems Science and Complexity, 2024, 37 : 1233 - 1250
[22] A New Class of Strong Orthogonal Arrays of Strength Three
WANG Chunyan
LIU Min-Qian
YANG Jinyu
Journal of Systems Science & Complexity, 2024, 37 (03) : 1233 - 1250
[23] A New Class of Strong Orthogonal Arrays of Strength Three
Wang, Chunyan
Liu, Min-Qian
Yang, Jinyu
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2024, 37 (03) : 1233 - 1250
[24] New Construction of Symmetric Orthogonal Arrays of Strength t
Du, Jiao
Wen, Qiaoyan
Zhang, Jie
Liao, Xin
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2013, E96A (09) : 1901 - 1904
[25] On the construction of asymmetric orthogonal arrays
Zhang, Tian-fang
Zong, Yang-yang
Dey, Aloke
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2016, 170 : 77 - 82
[26] On the construction of asymmetric orthogonal arrays
Suen, CY
Das, A
Dey, A
STATISTICA SINICA, 2001, 11 (01) : 241 - 260
[27] Further results on the existence of nested orthogonal arrays
Kun Wang
Jianxing Yin
Designs, Codes and Cryptography, 2013, 67 : 233 - 243
[28] Further results on the existence of nested orthogonal arrays
Wang, Kun
Yin, Jianxing
DESIGNS CODES AND CRYPTOGRAPHY, 2013, 67 (02) : 233 - 243
[29] Orthogonal arrays of strength 3
Kreher, DL
JOURNAL OF COMBINATORIAL DESIGNS, 1996, 4 (01) : 67 - 69
[30] ORTHOGONAL ARRAYS OF STRENGTH 5
GULATI, BR
LUCAS, JJ
ANNALS OF MATHEMATICAL STATISTICS, 1968, 39 (05): : 1777 - &

← 1 2 3 4 5 →