Majorization framework for balanced lattice designs

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dc.creatorZhang, Aijun
dc.creatorFang, Kai-Tai
dc.creatorLi, Runze
dc.creatorSudjianto, Agus
dc.date2006-03-03
dc.date.accessioned2026-07-07T08:07:38Z
dc.date.available2026-07-07T08:07:38Z
dc.descriptionThis paper aims to generalize and unify classical criteria for comparisons of balanced lattice designs, including fractional factorial designs, supersaturated designs and uniform designs. We present a general majorization framework for assessing designs, which includes a stringent criterion of majorization via pairwise coincidences and flexible surrogates via convex functions. Classical orthogonality, aberration and uniformity criteria are unified by choosing combinatorial and exponential kernels. A construction method is also sketched out.
dc.descriptionPublished at http://dx.doi.org/10.1214/009053605000000679 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0603082
dc.identifierhttp://arxiv.org/abs/math/0603082
dc.identifierAnnals of Statistics 2005, Vol. 33, No. 6, 2837-2853
dc.identifierdoi:10.1214/009053605000000679
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130996
dc.subjectStatistics Theory
dc.subject62K15 (Primary)
dc.titleMajorization framework for balanced lattice designs
dc.typetext

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