New lower bound for centered \(L_2\)-discrepancy of four-level \(U\)-type designs

DOI10.1016/J.SPL.2014.06.008zbMath1433.62229OpenAlexW2068912035MaRDI QIDQ395966

A. M. Elsawah, Hong Qin

Publication date: 8 August 2014

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2014.06.008

zbMATH Keywords

lower boundscentered \(L_2\)-discrepancyuniform designs\(U\)-type designs

Mathematics Subject Classification ID

Statistical block designs (62K10) Factorial statistical designs (62K15)

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Cites Work

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• Some new lower bounds to centered and wrap-round \(L_2\)-discrepancies
• Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting.
• Lower bounds of various criteria in experimental designs
• Constructing uniform designs with two- or three-level
• Lower bounds and stochastic optimization algorithms for uniform designs with three or four levels
• A generalized discrepancy and quadrature error bound
• Miscellanea. A connection between uniformity and aberration in regular fractions of two-level factorials

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