A study of uniformity pattern for extended designs

Tingxun Gou, Hong Qin and Kashinath Chatterjee

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 12, 2869-2880

Abstract: The objective of this paper is to investigate the issue of projection discrepancy for extended U-type or nearly U-type extended designs along the line of Fang and Qin (2005) based on the centered L2-discrepancy proposed in Hickernell (1998). Extended designs are obtained through augmenting optimally few runs (or points) to an optimal U-type design. Lower bounds to projection discrepancy with reference to the centered L2-discrepancy of extended designs have been obtained. Some illustrative examples are also provided.

Date: 2018
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DOI: 10.1080/03610926.2017.1343843

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