 Projection uniformity under mixture discrepancySi-Yu Yi and Yong-Dao Zhou Statistics & Probability Letters, 2018, vol. 140, issue C, 96-105 Abstract: The objective of this paper is to discuss the issue of projection uniformity under mixture discrepancy (MD). The uniformity pattern (UP) and minimum projection uniformity criterion are defined for two- and three-level designs under MD. It is shown that the projection uniformity under MD is better than that of other discrepancies, and there is a linear relationship between UP and generalized word-length pattern. Moreover, it is also shown that the foldover technique can increase uniformity resolution. The lower bounds of projection discrepancy for foldover designs and more general follow-up designs are also obtained for two-level designs. For three-level designs, the UP is defined through the average projection discrepancy based on level permutation of factors and its property is also discussed. Keywords: Generalized word-length pattern; Lower bounds; Mixture discrepancy; Projection uniformity; Uniformity pattern (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:140:y:2018:i:c:p:96-105 Ordering information: This journal article can be ordered from DOI: 10.1016/j.spl.2018.05.004 Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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