Measures of uniformity for space-filling uniform designs in a spherical region. (2016)

• Record Type: Journal Article
• Authors: Talke, Ismael S.; Borkowski, John J.
• Is Part Of: International journal of experimental design and process optimisation. Volume 5:Number 1/2(2016)
• Page Start: 23
• Page End: 40
• Publication Date: 2016
• Subjects: discrepancy -- distance-based criteria -- experimental design -- glp -- good lattice point -- spherical design regions -- uniformity measures -- space-filling uniform designs; Experimental design -- Periodicals; Process control -- Statistical methods -- Periodicals; 620.0072
• Languages: English
• ISSNs: 2040-2252

Abstract

The focus of this paper is to present and discuss new discrepancy measures of uniform designs (UDs) in the two- and three-dimensional spherical design regions B 2 and B 3 . The good lattice point (glp) method is used to construct the UDs in B 2 and B 3 because it generates good space-filling designs with low discrepancy and designs having small distance-based measures of uniformity. The best UDs were found in B 2 and B 3 for newly proposed discrepancy criteria. Best UDs based on three distance-based assessment criteria are also included for comparison. Distance-based criteria are alternative measures for design generation in higher-dimensional spherical regions with an example of design generation presented for B 4 .