On the construction of nested space-filling designs

DOI10.1214/14-AOS1229zbMath1297.62178arXiv1406.0920OpenAlexW3100447584MaRDI QIDQ464188

Min-Qian Liu, Peter Z. G. Qian, Fasheng Sun

Publication date: 17 October 2014

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0920

zbMATH Keywords

orthogonal arraydifference matrixcomputer experimentGalois fieldOA-based Latin hypercubeRao-Hamming constructionsliced space-filling design

Mathematics Subject Classification ID

Factorial statistical designs (62K15) Response surface designs (62K20)

Related Items (10)

Construction of Uniform Designs and Complex-Structured Uniform Designs via Partitionable t-Designss ⋮ Direct construction of three-level designs with less β-aberration ⋮ A new and flexible design construction for orthogonal arrays for modern applications ⋮ Construction of nested orthogonal arrays of parallel-flats type ⋮ Construction of some new families of nested orthogonal arrays ⋮ Construction of orthogonal general sliced Latin hypercube designs ⋮ Some families of asymmetric nested orthogonal arrays and asymmetric sliced orthogonal arrays ⋮ Construction of mixed orthogonal arrays with high strength ⋮ Construction of Latin hypercube designs with nested and sliced structures ⋮ Flexible sliced Latin hypercube designs with slices of different sizes

Uses Software

• Matlab

Cites Work

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• Accurate emulators for large-scale computer experiments
• On the existence of nested orthogonal arrays
• Construction of nested space-filling designs
• Orthogonal arrays. Theory and applications
• The design and analysis of computer experiments.
• Multistep scattered data interpolation using compactly supported radial basis functions
• A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code
• Sudoku-based space-filling designs
• Sliced space-filling designs
• Nested Latin hypercube designs
• Orthogonal Array-Based Latin Hypercubes
• Sliced Latin Hypercube Designs
• Nested Lattice Sampling: A New Sampling Scheme Derived by Randomizing Nested Orthogonal Arrays
• Orthogonal Arrays of Strength two and three

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