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A class of space-filling designs and their projection properties

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  • Mu, Weiyan
  • Xiong, Shifeng

Abstract

This paper introduces a class of transformation-based metrics, and uses them to construct maximin-type, minimax-type, and ϕp-type designs. The proposed designs include many distance-based designs as special cases. Theoretical and numerical results are presented to show the relationship between projection properties of such a design and the transformation used in it.

Suggested Citation

  • Mu, Weiyan & Xiong, Shifeng, 2018. "A class of space-filling designs and their projection properties," Statistics & Probability Letters, Elsevier, vol. 141(C), pages 129-134.
    • Handle: RePEc:eee:stapro:v:141:y:2018:i:c:p:129-134
    DOI: 10.1016/j.spl.2018.06.002
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    References listed on IDEAS

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    1. Edwin R. van Dam & Gijs Rennen & Bart Husslage, 2009. "Bounds for Maximin Latin Hypercube Designs," Operations Research, INFORMS, vol. 57(3), pages 595-608, June.
    2. V. Roshan Joseph & Evren Gul & Shan Ba, 2015. "Maximum projection designs for computer experiments," Biometrika, Biometrika Trust, vol. 102(2), pages 371-380.
    3. Peter Z. G. Qian & C. F. Jeff Wu, 2009. "Sliced space-filling designs," Biometrika, Biometrika Trust, vol. 96(4), pages 945-956.
    4. Edwin R. van Dam & Bart Husslage & Dick den Hertog & Hans Melissen, 2007. "Maximin Latin Hypercube Designs in Two Dimensions," Operations Research, INFORMS, vol. 55(1), pages 158-169, February.
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    Cited by:

    1. Weiyan Mu & Chengxin Liu & Shifeng Xiong, 2023. "Nested Maximum Entropy Designs for Computer Experiments," Mathematics, MDPI, vol. 11(16), pages 1-12, August.

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