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
收藏
页数：7
相关论文
共 50 条
  • [31] ON ORTHOGONAL ARRAYS OF STRENGTH 4
    SEIDEN, E
    ZEMACH, R
    ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (02): : 729 - &
  • [32] SOME MAIN-EFFECT PLANS AND ORTHOGONAL ARRAYS OF STRENGTH 2
    ADDELMAN, S
    KEMPTHORNE, O
    ANNALS OF MATHEMATICAL STATISTICS, 1961, 32 : 1167 - +
  • [33] Construction of asymmetric resolvable orthogonal arrays
    Lin, Xiao
    Pang, Shanqi
    STATISTICS & PROBABILITY LETTERS, 2025, 219
  • [34] On the construction of nested orthogonal arrays with the adjacent numbers of levels
    Pang, Shanqi
    Zhu, Yan
    STAT, 2024, 13 (02):
  • [35] Some New Families of Finite Orthogonal Polynomials in Two Variables
    Lekesiz, Esra Guldogan
    Area, Ivan
    AXIOMS, 2023, 12 (10)
  • [36] ORTHOGONAL ARRAYS OF STRENGTH 2 AND 3
    BOSE, RC
    BUSH, KA
    ANNALS OF MATHEMATICAL STATISTICS, 1951, 22 (02): : 312 - 312
  • [37] ORTHOGONAL ARRAYS OF STRENGTH-2
    BUSH, KA
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 57 (04) : 266 - 266
  • [38] ORTHOGONAL ARRAYS OF STRENGTH 2 AND 3
    BOSE, RC
    BUSH, KA
    ANNALS OF MATHEMATICAL STATISTICS, 1952, 23 (04): : 508 - 524
  • [39] On schematic orthogonal arrays of high strength
    Yan, Rong
    Pang, Shanqi
    Wang, Jing
    Chen, Mengqian
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2025, 236
  • [40] A SURVEY OF ORTHOGONAL ARRAYS OF STRENGTH TWO
    刘璋温
    井淑夫
    Acta Mathematicae Applicatae Sinica(English Series), 1995, (03) : 308 - 317
12345