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A note on lower bound of centered L2-discrepancy on combined designs |
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| Authors: | Yi Ju Lei Zu Jun Ou Hong Qin and Na Zou |
| Institution: | (1) Department of Mathematics, Xinxiang University, Xinxiang, 453000, P. R. China;(2) Faculty of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, P. R. China;(3) College of Mathematics and Computer Science, Jishou University, Jishou, 416000, P. R. China;(4) School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, 430079, P. R. China |
| Abstract: | This note provides a theoretical justification of optimal foldover plans in terms of uniformity. A new lower bound of the centered L 2-discrepancy values of combined designs is obtained, which can be used as a benchmark for searching optimal foldover plans. Our numerical results show that this lower bound is sharper than existing results when more factors reverse the signs in the initial design. |
| Keywords: | Centered L2-discrepancy optimal foldover plan uniformity uniformity pattern |
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