Majorization framework for balanced lattice designs

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This 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.
Published 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)

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Statistics Theory, 62K15 (Primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/130996

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603082
 http://arxiv.org/abs/math/0603082
 Annals of Statistics 2005, Vol. 33, No. 6, 2837-2853
 doi:10.1214/009053605000000679

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arXiv