Measures of uniformity for space-filling uniform designs in a spherical region
by Ismael S. Talke; John J. Borkowski
International Journal of Experimental Design and Process Optimisation (IJEDPO), Vol. 5, No. 1/2, 2016

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 B2 and B3. The good lattice point (glp) method is used to construct the UDs in B2 and B3 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 B2 and B3 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 B4.

Online publication date: Mon, 28-Nov-2016

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