Generalized projection discrepancy and its applications in experimental designs

Narayanaswamy Balakrishnan, Hong Qin () and Kashinath Chatterjee

Metrika: International Journal for Theoretical and Applied Statistics, 2016, vol. 79, issue 1, 19-35

Abstract: The objective of this paper is to study the issue of the generalized projection discrepancy along the line of Qin et al. (J Stat Plan Inference 142:1170–1177, 2012 ) based on generalized discrete discrepancy measure proposed by Chatterjee and Qin (J Stat Plan Inference 141:951–960, 2011 ). We shall study the projection properties for general asymmetric factorials and provide some analytic connections between minimum generalized projection uniformity and other optimality criteria. A new lower bound on the generalized projection discrepancy for asymmetric factorials is presented here. Copyright Springer-Verlag Berlin Heidelberg 2016

Keywords: Projection discrepancy; Generalized discrete discrepancy; Generalized minimum aberration; Lower bound; Orthogonality; 62K15; 62K10; 62K99 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:79:y:2016:i:1:p:19-35

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DOI: 10.1007/s00184-015-0541-0

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