Lower Bounds on the SymmetricL2-Discrepancy and Their Application

DOI10.1080/03610920701232667zbMATH Open1128.62084OpenAlexW2148547832MaRDI QIDQ5438308

Hong Qin, Kashinath Chatterjee, Zhenghong Wang

Publication date: 23 January 2008

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

Full work available at URL: https://doi.org/10.1080/03610920701232667

zbMATH Keywords

uniformityuniform designasymmetric factorial designsymmetric \(L_{2}\)-discrepancy

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Uniformity in factorial designs with mixed levels
• Majorization framework for balanced lattice designs
• Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting.
• A lower bound for the centered \(L_2\)-discrepancy on asymmetric factorials and its application
• Monte Carlo and Quasi-Monte Carlo Methods 2000
• A generalized discrepancy and quadrature error bound
• Uniform designs limit aliasing
• Uniform Design: Theory and Application
• Miscellanea. A connection between uniformity and aberration in regular fractions of two-level factorials

Related Items (6)

Lower Bounds for the Uniformity Pattern of Asymmetric Fractional Factorials ⋮ Measures of uniformity in experimental designs: A selective overview ⋮ Improved Bounds for the Symmetric Rendezvous Value on the Line ⋮ On the \(L_2\)-discrepancy for anchored boxes ⋮ Unnamed Item ⋮ Lower bounds for wrap-around \(L_2\)-discrepancy and constructions of symmetrical uniform designs

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