Lower bounds for wrap-around \(L_2\)-discrepancy and constructions of symmetrical uniform designs

DOI10.1016/j.jco.2005.01.003zbMath1087.65007OpenAlexW2168739259MaRDI QIDQ2576280

Jianxing Yin, Kai-Tai Fang, Yu. Tang

Publication date: 27 December 2005

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2005.01.003

zbMATH Keywords

explicit lower boundsquasi-Monte Carlo methodexperimental designwrap-around \(L_2\)-discrepancyuniform designscombinatorial approachbalance-pursuit heuristicperfect resolvable balanced incomplete block designsymmetrical uniform designs

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Monte Carlo methods (65C05) Statistical block designs (62K10) Irregularities of distribution, discrepancy (11K38)

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Cites Work

• Construction of minimum generalized aberration designs
• Wrap-around \(L_2\)-discrepancy of random sampling Latin hypercube and uniform designs
• A systematical procedure in the construction of multi-level supersaturated design.
• Constructions of uniform designs by using resolvable packings and coverings.
• Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting.
• Construction of \(E(s^2)\) optimal supersaturated designs using cyclic BIBDs
• Uniform supersaturated design and its construction
• Centered $L_2$-discrepancy of random sampling and Latin hypercube design, and construction of uniform designs
• A generalized discrepancy and quadrature error bound
• Uniform designs limit aliasing
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