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Interleaved lattice-based minimax distance designs

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  • Xu He

Abstract

SummaryWe propose a new method for constructing minimax distance designs, which are useful for computer experiments. To circumvent computational difficulties, we consider designs with an interleaved lattice structure, a newly defined class of lattice that has repeated or alternated layers based on any single dimension. Such designs have boundary adaptation and low-thickness properties. From our numerical results, the proposed designs are by far the best minimax distance designs for moderate or large samples.

Suggested Citation

  • Xu He, 2017. "Interleaved lattice-based minimax distance designs," Biometrika, Biometrika Trust, vol. 104(3), pages 713-725.
    • Handle: RePEc:oup:biomet:v:104:y:2017:i:3:p:713-725.
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    File URL: http://hdl.handle.net/10.1093/biomet/asx036
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    References listed on IDEAS

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    1. Xu He, 2017. "Rotated Sphere Packing Designs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(520), pages 1612-1622, October.
    2. Hanan Luss, 1999. "On Equitable Resource Allocation Problems: A Lexicographic Minimax Approach," Operations Research, INFORMS, vol. 47(3), pages 361-378, June.
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