Mixture discrepancy on symmetric balanced designs

DOI10.1016/J.SPL.2015.05.007zbMath1318.62256OpenAlexW2285264709MaRDI QIDQ491712

A. M. Elsawah, Hong Qin

Publication date: 19 August 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.05.007

zbMATH Keywords

lower boundsuniform designsmixture discrepancysymmetric balanced designs

Mathematics Subject Classification ID

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

Related Items (16)

Optimum mechanism for breaking the confounding effects of mixed-level designs ⋮ A note on optimal foldover four-level factorials ⋮ A catalog of optimal foldover plans for constructing U-uniform minimum aberration four-level combined designs ⋮ A closer look at de-aliasing effects using an efficient foldover technique ⋮ Effective lower bounds of wrap-around \(L_2\)-discrepancy on three-level combined designs ⋮ Building some bridges among various experimental designs ⋮ Constructing optimal asymmetric combined designs via Lee discrepancy ⋮ An efficient methodology for constructing optimal foldover designs in terms of mixture discrepancy ⋮ An effective approach for the optimum addition of runs to three-level uniform designs ⋮ Optimum addition of information to computer experiments in view of uniformity and orthogonality ⋮ Asymmetric uniform designs based on mixture discrepancy ⋮ New results on quaternary codes and their Gray map images for constructing uniform designs ⋮ Constructing optimal projection designs ⋮ Sharp lower bounds of various uniformity criteria for constructing uniform designs ⋮ New recommended designs for screening either qualitative or quantitative factors ⋮ Construction of multi-level space-filling designs via code mappings

Cites Work

• Unnamed Item
• Two- and three-level lower bounds for mixture \(L_2\)-discrepancy and construction of uniform designs by threshold accepting
• A new strategy for optimal foldover two-level designs
• 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

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