Construction of Nested Space - Filling Designs
نویسنده
چکیده
New types of designs called nested space-filling designs have been proposed for conducting multiple computer experiments with different levels of accuracy. In this article, we develop several approaches to constructing such designs. The development of these methods also leads to the introduction of several new discrete mathematics concepts, including nested orthogonal arrays and nested difference matrices.
منابع مشابه
On the Construction of Nested Space-filling Designs
Nested space-filling designs are nested designs with attractive lowdimensional stratification. Such designs are gaining popularity in statistics, applied mathematics and engineering. Their applications include multifidelity computer models, stochastic optimization problems, multi-level fitting of nonparametric functions, and linking parameters. We propose methods for constructing several new cl...
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Computer experiments with different levels of accuracy have become prevalent in many engineering and scientific applications. Design construction for such computer experiments is a new issue because the existing methods deal almost exclusively with computer experiments with one level of accuracy. In this paper, we construct some nested space-filling designs for computer experiments with two lev...
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