Asymmetric uniform designs based on mixture discrepancy

DOI10.1080/02664763.2016.1140727OpenAlexW2338369743MaRDI QIDQ5138158

Hong Qin, A. M. Elsawah

Publication date: 3 December 2020

Published in: Journal of Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02664763.2016.1140727

zbMATH Keywords

lower bounduniform designmixture discrepancyTA algorithm\(U\)-type designasymmetric levels design

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Factorial statistical designs (62K15)

Related Items (9)

Optimum mechanism for breaking the confounding effects of mixed-level designs ⋮ Effective lower bounds of wrap-around \(L_2\)-discrepancy on three-level combined designs ⋮ Constructing optimal asymmetric combined designs via Lee discrepancy ⋮ Construction of uniform mixed-level designs through level permutations ⋮ Two‐dimensional projection uniformity for space‐filling designs ⋮ Optimum addition of information to computer experiments in view of uniformity and orthogonality ⋮ New results on quaternary codes and their Gray map images for constructing uniform designs ⋮ Constructing optimal projection designs ⋮ New recommended designs for screening either qualitative or quantitative factors

Cites Work

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• Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting.
• Geometric isomorphism and minimum aberration for factorial designs with quantitative factors
• Lee discrepancy on symmetric three-level combined designs
• Lower bound of centered \(L_2\)-discrepancy for mixed two and three levels \(U\)-type designs
• Mixture discrepancy for quasi-random point sets
• A generalized discrepancy and quadrature error bound
• Application of Threshold-Accepting to the Evaluation of the Discrepancy of a Set of Points
• Space-Filling Fractional Factorial Designs

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