Some lower bounds of centered \(L_2\)-discrepancy of \(2^{s-k}\) designs and their complementary designs

DOI10.1007/S00362-014-0618-2zbMath1327.62441OpenAlexW2005433293MaRDI QIDQ894855

Hong Qin, Hongyi Li, Zu Jun Ou

Publication date: 24 November 2015

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-014-0618-2

zbMATH Keywords

indicator functionuniformitywordfractional factorials

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• A note on lower bound of centered \(L_{2}\)-discrepancy on combined designs
• Uniformity in factorial designs with mixed levels
• Majorization framework for balanced lattice designs
• Connections between the resolutions of general two-level factorial designs
• Classification of three-word indicator functions of two-level factorial designs
• Forms of four-word indicator functions with implications to two-level factorial designs
• Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting.
• Classification of two-level factorial fractions
• Geometric isomorphism and minimum aberration for factorial designs with quantitative factors
• Some results on \(s^{n-k}\) fractional factorial designs with minimum aberration or optimal moments
• De-aliasing effects using semifoldover techniques
• Indicator function and complex coding for mixed fractional factorial designs
• Constructing uniform designs with two- or three-level
• A generalized discrepancy and quadrature error bound
• Miscellanea. A connection between uniformity and aberration in regular fractions of two-level factorials
• FRACTIONAL REPLICATION ARRANGEMENTS FOR FACTORIAL EXPERIMENTS WITH FACTORS AT TWO LEVELS

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