Discrepancy in Experimental Designs
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چکیده
منابع مشابه
CONNECTIONS BETWEEN UNIFORMITY AND E(s)-OPTIMALITY IN 2-LEVEL SUPERSATURATED DESIGNS
Abstract. Supersaturated experimental designs are often assessed by the E(s) criterion, and some methods have been found for constructing E(s)optimal designs. Another criterion for assessing experimental designs is discrepancy, of which there are several different kinds. The discrepancy measures how much the empirical distribution of the design points deviate from the uniform distribution. Here...
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The concept of a flexible region describes an infinite variety of symmetrical shapes to enclose a particular region of interestwithin a space. In experimental design, the properties of a function on the region of interest are analyzed based on a set of design points. The choice of design points can be made based on some discrepancy criterion. The generation of design points on a flexible region...
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The wrap-around L2-discrepancy has been used in quasi-Monte Carlo methods, especially in experimental designs. In this paper, explicit lower bounds of the wrap-aroundL2-discrepancy of U-type designs are obtained. Sufficient conditions for U-type designs to achieve their lower bounds are given. Taking advantage of these conditions, we consider the perfect resolvable balanced incomplete block des...
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تاریخ انتشار 2004