Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1555-1561.

• Articles • Previous Articles     Next Articles

Some Lower Bounds of Centered L2-discrepancy on Foldover Designs

 LEI Yi-Ju1,2, QIN Hong2, ZOU Na2   

  1. 1.Department of Mathematics, Xinxiang College, Henan |Xinxiang 453000|2.Department of Statistics, Central China Normal University, Wuhan 430079
  • Received:2008-09-14 Revised:2010-01-09 Online:2010-12-25 Published:2010-12-25
  • Supported by:

    国家自然科学基金(10671080)和教育部新世纪优秀人才支持计划(06-672)资助

Abstract:

Foldover is a classic technique that reverses the sign(s) of one or more factors in the initial design for the follow-up experiment (called a foldover design). The full design obtained by joining the runs in the foldover design to those of the initial design is called a combined design. In this paper, under the full foldover plan and fractional foldover plans, some lower bounds of the combined designs in terms of centered L2 discrepancy are obtained, which can be used as a benchmark for searching optimal foldover plans. The results provide a theoretical justification for optimal foldover plans based on uniformity criterion.

Key words: Centered L2-discrepancy, Optimal foldover plan, Uniformity

CLC Number: 

  • 62K15
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