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Measures of uniformity in experimental designs: A selective overview
Authors:E Androulakis  K Drosou  Y-D Zhou
Institution:1. Department of Mathematics, National Technical University of Athens, Athens, Greece;2. College of Mathematics, Sichuan University, Chengdu, China
Abstract:ABSTRACT

Discrepancies are measures which are defined as the deviation between the empirical and the theoretical uniform distribution. In this way, discrepancy is a measure of uniformity which provides a way of construction a special kind of space filling designs, namely uniform designs. Several discrepancies have been proposed in recent literature. A brief, selective review of these measures including some construction algorithms are given in this paper. Furthermore, a critical discussion along with some comparisons is provided, as well.
Keywords:Discrepancy measures  Uniformity  Uniform designs  Construction algorithms
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