Title: Uniform design for computer experiments and its optimal properties

Authors: Kai-Tai Fang, Runze Li

Addresses: Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China. ' Department of Statistics, The Pennsylvania State University, University Park, PA 16802-2111, USA

Abstract: Computer experiments are very useful for improving vehicle designs. Construction of computer experiments is of crucial importance. There are many space filling designs for computer experiments. The uniformity and low-discrepancy sets have played an important role in the construction of designs for computer experiments. To gain insight into why space-filling designs have good performance in computer experiments, in this paper, we compare several statistical models from different statistical viewpoints. We further demonstrate that the uniform design is an optimal one from several aspects.

Keywords: computer experiments; robust design; uniform design; uniformity; vehicle design; space filling designs; statistical models; simulation; experimental design.

DOI: 10.1504/IJMPT.2006.008282

International Journal of Materials and Product Technology, 2006 Vol.25 No.1/2/3, pp.198 - 210

Published online: 28 Nov 2005 *

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