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Some new families of asymmetric nested orthogonal arrays with any strength

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  • Pang, Shanqi
  • Zhu, Yan
  • Lin, Xiao

Abstract

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.

Suggested Citation

  • Pang, Shanqi & Zhu, Yan & Lin, Xiao, 2024. "Some new families of asymmetric nested orthogonal arrays with any strength," Statistics & Probability Letters, Elsevier, vol. 214(C).
    • Handle: RePEc:eee:stapro:v:214:y:2024:i:c:s0167715224001883
    DOI: 10.1016/j.spl.2024.110219
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    References listed on IDEAS

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    1. Husslage, B.G.M. & van Dam, E.R. & den Hertog, D. & Stehouwer, H.P. & Stinstra, E., 2003. "Collaborative metamodelling : Coordinating simulation-based product design," Other publications TiSEM 0196e58f-78a8-4653-a48b-8, Tilburg University, School of Economics and Management.
    2. Qian, Peter Z. G. & Ai, Mingyao, 2010. "Nested Lattice Sampling: A New Sampling Scheme Derived by Randomizing Nested Orthogonal Arrays," Journal of the American Statistical Association, American Statistical Association, vol. 105(491), pages 1147-1155.
    3. Zhang, Tianfang & Jiang, Junyu & Li, Zhiming, 2018. "Some families of asymmetric nested orthogonal arrays and asymmetric sliced orthogonal arrays," Statistics & Probability Letters, Elsevier, vol. 141(C), pages 109-113.
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