A Lower Bound for the Wrap-around L2-discrepancy on Combined Designs of Mixed Two- and Three-level Factorials

DOI10.1080/03610926.2013.776082zbMath1458.62177OpenAlexW2190316897MaRDI QIDQ2876205

Hong Qin, Xu Cai, Zu Jun Ou

Publication date: 18 August 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.776082

zbMATH Keywords

lower boundcombined designfoldover planwrap-around \(L_{2}\)-discrepancymixed level factorials

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Factorial statistical designs (62K15)

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Cites Work

• A note on lower bound of centered \(L_{2}\)-discrepancy on combined designs
• Lower bounds of various discrepancies on combined designs
• Majorization framework for balanced lattice designs
• Lower bounds of the wrap-around \(L_2\)-discrepancy and relationships between MLHD and uniform design with a large size
• A note on optimal foldover design.
• Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting.
• A note on the selection of optimal foldover plans for 16- and 32-run fractional factorial designs
• Optimal foldover plans for blocked \(2^{m-k}\) fractional factorial designs
• A lower bound for the centered \(L_2\)-discrepancy on asymmetric factorials and its application
• Lower bounds for wrap-around \(L_2\)-discrepancy and constructions of symmetrical uniform designs
• A generalized discrepancy and quadrature error bound
• Lower Bounds for the Uniformity Pattern of Asymmetric Fractional Factorials