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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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