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Construction of designs with space-filling and orthogonal property

Author

Listed:
  • Li, Min
  • Feng, Yuan
  • Wang, Xiao
  • Zhou, Weiping

Abstract

Space-filling designs are widely used in computer experiments, but their construction presents significant challenges. This paper introduces novel methods for generating maximin distance Latin hypercube designs (LHDs) and space-filling balanced designs with a slice structure, removing the reliance on computational searches. We also offer a simple yet effective approach to constructing sliced Latin hypercube designs (SLHDs), which achieve space-filling in each slice and maintain good orthogonality and stratification properties across the entire design. The resulting designs are more space-filling than existing designs.

Suggested Citation

  • Li, Min & Feng, Yuan & Wang, Xiao & Zhou, Weiping, 2025. "Construction of designs with space-filling and orthogonal property," Statistics & Probability Letters, Elsevier, vol. 222(C).
    • Handle: RePEc:eee:stapro:v:222:y:2025:i:c:s0167715225000537
    DOI: 10.1016/j.spl.2025.110408
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    References listed on IDEAS

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    1. V. Roshan Joseph & Evren Gul & Shan Ba, 2015. "Maximum projection designs for computer experiments," Biometrika, Biometrika Trust, vol. 102(2), pages 371-380.
    2. Yongdao Zhou & Hongquan Xu, 2015. "Space-filling properties of good lattice point sets," Biometrika, Biometrika Trust, vol. 102(4), pages 959-966.
    3. Fasheng Sun & Boxin Tang, 2017. "A Method of Constructing Space-Filling Orthogonal Designs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 683-689, April.
    4. C. Devon Lin & Rahul Mukerjee & Boxin Tang, 2009. "Construction of orthogonal and nearly orthogonal Latin hypercubes," Biometrika, Biometrika Trust, vol. 96(1), pages 243-247.
    5. Derek Bingham & Randy R. Sitter & Boxin Tang, 2009. "Orthogonal and nearly orthogonal designs for computer experiments," Biometrika, Biometrika Trust, vol. 96(1), pages 51-65.
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