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含原子差集阵的三因子构造法

Three-factor construction with an atom of difference matrix
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摘要 讨论了用三因子法构造混合水平强度为2的正交表,运用Kronecker和,提出了用原子差集阵构造正交表的方法,并得到了更多的试验次数为72的正交表. It was discussed the three-factor method of constructing mixed orthogonal arrays of strength two. A general approach was proposed with atom of difference matrix by Kronecker sum, which was used to obtain 72-run mixed orthogonal arrays for examples.
作者 包文清
机构地区 浙江师范大学数理与信息工程学院
出处 《浙江师范大学学报（自然科学版）》 CAS 2008年第3期288-290,共3页 Journal of Zhejiang Normal University:Natural Sciences
关键词 原子差集阵 混合水平正交表 正交投影阵 Kronecker和 atom of difference matrix mixed orthogonal array orthogonal projection matrix Kronecker sum
分类号 O212.6 [理学—概率论与数理统计]
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  • 1R. C. Bose and K. A. Bush, Orthogonal arrays of strength two and three, Ann. Math. Statist,1952, 23: 508-524.
  • 2S. Shrikhande, Generalized Hadamard matrices and orthogonal arrays strength two, Canadian Journal of Mathematics, 1964, 16: 736-740.
  • 3Y. S. Zhang, Theory of Multilateral Matrices, Chinese Statistic Press, 1993.
  • 4A. S. Hedayat, N. J. A. Sloane, and J. Stufken, Orthogonal Arrays: Theory and Applications,Springer-Verlag, New York, 1999.
  • 5Y. S. Zhang, Y. Q. Lu, and S. Q. Pang, Orthogonal arrays obtained by orthogonal decomposition of projection matrices, Statistica Sinica, 1999, 9(2): 595-604.
  • 6Y. S. Zhang, S. Q. Pang, and Y. P.Wang, Orthogonal arrays obtained by generalized Hadamard product, Discrete Mathematics, 2001, 238: 151-170.
  • 7Y. S. Zhang, L. Duan, Y. Q. Lu, and Z. G. Zheng, Construction of Generalized Hadamard Matrices D(r^m(r + 1), r^m(r + 1),p), Journal of Statistics Planning and Inference, 2002, 104(2): 239-258.
  • 8Y. S. Zhang, Asymmetrical orthogonal arrays with run size 100, Chinese Science Bulletin, 1989,23: 1835-1836.
  • 9Y. S. Zhang, Orthogonal arrays with run size 36, J. of Henan Normal University, 1990, 18(4): 1-5.
  • 10Y. S. Zhang, Orthogonal array Lloo(20^15^20), J. of Henan Normal University, 1990, 18(4):93.

共引文献8

浙江师范大学学报（自然科学版）
2008年 第3期

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