Journal of Systems Science and Complexity

, Volume 31, Issue 5, pp 1391–1404 | Cite as

Efficient Asymmetrical Extended Designs Under Wrap-Around L2-Discrepancy

  • Tingxun Gou
  • Hong QinEmail author
  • Kashinath Chatterjee


The purpose of the present article is to introduce a class of mixed two- and three-level extended designs obtained by adding some new runs to an existing mixed two-and three-level design. A formulation of wrap-around L2-discrepancy for the extended designs is developed. As a benchmark of obtaining (nearly) uniform asymmetrical extended designs, a lower bound to the wrap-around L2-discrepancy for our proposed designs is established. Thorough numerical results are displayed, which provide further corroboration to the derived theoretical results.


Asymmetrical extended design follow-up experiment lower bound wrap-around L2-discrepancy 


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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of StatisticsCentral China Normal UniversityWuhanChina
  2. 2.Department of StatisticsVisva-Bharati UniversitySantiniketanIndia

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