New lower bound for Lee discrepancy of asymmetrical factorials
Lee discrepancy has wide applications in design of experiments, which can be used to measure the uniformity of fractional factorials. An improved lower bound of Lee discrepancy for asymmetrical factorials with mixed two-, three- and four-level is presented. The new lower bound is more accurate for a...
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| Veröffentlicht in: | Statistical papers (Berlin, Germany) Germany), 2020-08, Vol.61 (4), p.1763-1772 |
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| container_end_page | 1772 |
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| container_issue | 4 |
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| container_title | Statistical papers (Berlin, Germany) |
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| creator | Hu, Liuping Chatterjee, Kashinath Liu, Jiaqi Ou, Zujun |
| description | Lee discrepancy has wide applications in design of experiments, which can be used to measure the uniformity of fractional factorials. An improved lower bound of Lee discrepancy for asymmetrical factorials with mixed two-, three- and four-level is presented. The new lower bound is more accurate for a lot of designs than other existing lower bound, which is a useful complement to the lower bounds of Lee discrepancy and can be served as a benchmark to search uniform designs with mixed levels in terms of Lee discrepancy. |
| doi_str_mv | 10.1007/s00362-018-0998-9 |
| format | Article |
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An improved lower bound of Lee discrepancy for asymmetrical factorials with mixed two-, three- and four-level is presented. The new lower bound is more accurate for a lot of designs than other existing lower bound, which is a useful complement to the lower bounds of Lee discrepancy and can be served as a benchmark to search uniform designs with mixed levels in terms of Lee discrepancy.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00362-018-0998-9</doi><tpages>10</tpages></addata></record> |
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| ispartof | Statistical papers (Berlin, Germany), 2020-08, Vol.61 (4), p.1763-1772 |
| issn | 0932-5026 1613-9798 |
| language | eng |
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| source | Springer journals; Business Source Complete |
| subjects | Asymmetry Design of experiments Economic Theory/Quantitative Economics/Mathematical Methods Economics Factorials Finance Insurance Lower bounds Management Mathematics and Statistics Operations Research/Decision Theory Probability Theory and Stochastic Processes Regular Article Statistics Statistics for Business |
| title | New lower bound for Lee discrepancy of asymmetrical factorials |
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