A note on lower bound of centered \(L_{2}\)-discrepancy on combined designs

DOI10.1007/s10114-011-0009-8zbMath1336.62222OpenAlexW2009986298MaRDI QIDQ270307

Hong Qin, Zu Jun Ou, Na Zou, Yi Ju Lei

Publication date: 7 April 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0009-8

zbMATH Keywords

uniformitycentered \(L_2\)-discrepancyoptimal foldover planuniformity pattern

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Statistical block designs (62K10) Factorial statistical designs (62K15)

Related Items (16)

A note on optimal foldover four-level factorials ⋮ 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 ⋮ An efficient methodology for constructing optimal foldover designs in terms of mixture discrepancy ⋮ Optimal foldover plans of three-level designs with minimum wrap-around \(L_2\)-discrepancy ⋮ Some lower bounds of centered \(L_2\)-discrepancy of \(2^{s-k}\) designs and their complementary designs ⋮ Uniformity and projection uniformity of combined designs ⋮ Sequentially weighted uniform designs ⋮ A new look on optimal foldover plans in terms of uniformity criteria ⋮ Optimal foldover plans of asymmetric factorials with minimum wrap-around \(L_2\)-discrepancy ⋮ Augmented uniform designs ⋮ Measures of uniformity in experimental designs: A selective overview ⋮ New foundations for designing U-optimal follow-up experiments with flexible levels ⋮ A new foldover strategy and optimal foldover plans for three-level design ⋮ Lee discrepancy on symmetric three-level combined designs ⋮ A Lower Bound for the Wrap-around L₂-discrepancy on Combined Designs of Mixed Two- and Three-level Factorials

Cites Work

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• A note on optimal foldover design.
• Optimal foldover plans for blocked \(2^{m-k}\) fractional factorial designs
• Uniformity pattern and related criteria for two-level factorials
• Minimum projection uniformity criterion and its application
• Choise of optimal initial designs in sequential experiments
• A generalized discrepancy and quadrature error bound
• THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS

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