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Efficient Asymmetrical Extended Designs Under Wrap-Around L2-Discrepancy

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Abstract

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.

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Author information

Authors and Affiliations

  1. Department of Statistics, Central China Normal University, Wuhan, 430079, China

    Tingxun Gou & Hong Qin

  2. Department of Statistics, Visva-Bharati University, Santiniketan, India

    Kashinath Chatterjee

Authors
  1. Tingxun Gou
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  2. Hong Qin
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  3. Kashinath Chatterjee
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Corresponding author

Correspondence to Hong Qin.

Additional information

Qin’s research was supported by the National Natural Science Foundation of China under Grant Nos. 11271147, 11471135, 11471136. Gou thanks the support of Excellent Doctoral Dissertation to Cultivate Project of Central China Normal University under Grant No. 2017YBZZ057.

This paper was recommended for publication by Editor SHI Jianjun.

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Gou, T., Qin, H. & Chatterjee, K. Efficient Asymmetrical Extended Designs Under Wrap-Around L2-Discrepancy. J Syst Sci Complex 31, 1391–1404 (2018). https://doi.org/10.1007/s11424-018-7131-y

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  • DOI: https://doi.org/10.1007/s11424-018-7131-y

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