Finding Minimum Cantered L-2 Discrepancy Values To Construct Uniform Design Tables In Glp Method With Generating Vector

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS(2015)

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Abstract
Uniform design (UD) is a kind of space filling design which uniformity of space filling is the most important and essential feature of UD. UD can be constructed by minimizing discrepancy over the design space. In this paper, we choose centered L2 discrepancy (CD) as the measure of uniformity and good lattice point (GLP) as construction method of UD. The generating vector of GLP, UDs and CD-values will be obtained by using MATLAB. We show the detail of the approach with numerical example.
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Key words
Good lattice point, generating vector, centered L-2 Discrepancy, uniform design
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