Majorization framework for balanced lattice designs

DOI10.1214/009053605000000679zbMath1084.62071arXivmath/0603082OpenAlexW3102202051MaRDI QIDQ817997

Aijun Zhang, Agus Sudjianto, Run-Ze Li, Kai-Tai Fang

Publication date: 23 March 2006

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603082

zbMATH Keywords

discrepancymajorizationuniform designadmissibilityminimum aberrationsupersaturated designseparable convex

Mathematics Subject Classification ID

Factorial statistical designs (62K15)

Related Items (25)

Generalized projection discrepancy and its applications in experimental designs ⋮ Building some bridges among various experimental designs ⋮ An effective approach for the optimum addition of runs to three-level uniform designs ⋮ Construction of supersaturated design with large number of factors by the complementary design method ⋮ Lower Bounds for the Uniformity Pattern of Asymmetric Fractional Factorials ⋮ Generalized discrete discrepancy and its applications in experimental designs ⋮ Optimal foldover plans of three-level designs with minimum wrap-around \(L_2\)-discrepancy ⋮ Optimum addition of information to computer experiments in view of uniformity and orthogonality ⋮ Some lower bounds of centered \(L_2\)-discrepancy of \(2^{s-k}\) designs and their complementary designs ⋮ Singular majorants and minorants: enhanced design conditioning ⋮ Construction of equidistant and weak equidistant supersaturated designs ⋮ An appealing technique for designing optimal large experiments with three-level factors ⋮ Uniformity in double designs ⋮ An effective algorithm for generation of factorial designs with generalized minimum aberration ⋮ Lee discrepancy and its applications in experimental designs ⋮ Uniformity pattern and related criteria for mixed-level designs ⋮ Lower bounds of various criteria in experimental designs ⋮ Recent developments in nonregular fractional factorial designs ⋮ Lower Bounds on the SymmetricL₂-Discrepancy and Their Application ⋮ New lower bounds to wrap-around \(L_2\)-discrepancy for U-type designs with three-level ⋮ Constructing optimal projection designs ⋮ Multiple doubling: a simple effective construction technique for optimal two-level experimental designs ⋮ Least squares polynomial chaos expansion: a review of sampling strategies ⋮ Designing optimal large four-level experiments: a new technique without recourse to optimization softwares ⋮ A Lower Bound for the Wrap-around L₂-discrepancy on Combined Designs of Mixed Two- and Three-level Factorials

Cites Work

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• Construction of minimum generalized aberration designs
• Regular fractional factorial designs with minimum aberration and maximum estimation capacity
• Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting.
• Minimum \(G_2\)-aberration for nonregular fractional factorial designs
• Three-level supersaturated designs
• Generalized minimum aberration for asymmetrical fractional factorial designs.
• Minimum aberration majorization in non-isomorphic saturated designs
• On the existence of saturated and nearly saturated asymmetrical orthogonal arrays
• Centered $L_2$-discrepancy of random sampling and Latin hypercube design, and construction of uniform designs
• Theory of J-characteristics for fractional factorial designs and projection justification of minimum G2-aberration
• An Algorithmic Approach to Constructing Supersaturated Designs
• Some Systematic Supersaturated Designs
• Minimum Aberration 2 k-p Designs
• Minimum Aberration and Model Robustness for Two-Level Fractional Factorial 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
• Schur-Convex Discrimination of Designs Using Power and Exponential Kernels
• Inequalities: theory of majorization and its applications
• A note on generalized aberration in factorial designs

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