New lower bounds to wrap-around \(L_2\)-discrepancy for U-type designs with three-level

DOI10.1007/s10255-019-0828-4zbMath1430.62177OpenAlexW2964153868WikidataQ127458919 ScholiaQ127458919MaRDI QIDQ2274174

Zhenghong Wang, Hong Qin

Publication date: 19 September 2019

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

Full work available at URL: https://doi.org/10.1007/s10255-019-0828-4

zbMATH Keywords

lower boundwrap-around \(L_2\)-discrepancyU-type designs

Mathematics Subject Classification ID

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

Related Items (2)

Deterministic construction methods for uniform designs ⋮ Construction of multi-level space-filling designs via code mappings

Cites Work

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• Some new lower bounds to centered and wrap-round \(L_2\)-discrepancies
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• Majorization framework for balanced lattice designs
• Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting.
• Constructing uniform designs with two- or three-level
• Lower bounds for wrap-around \(L_2\)-discrepancy and constructions of symmetrical uniform designs
• A generalized discrepancy and quadrature error bound
• Uniform designs limit aliasing
• Miscellanea. A connection between uniformity and aberration in regular fractions of two-level factorials

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