Some new lower bounds to centered and wrap-round -discrepancies

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• 作者：Kashinath Chatterjee^a ; Zhaohai Li^b ; Hong Qin^c ; ^{qinhong@mail.ccnu.edu.cn}
• 关键词：62K15 ; 62K10 ; 62K99
• 刊名：Statistics and Probability Letters
• 出版年：2012
• 期刊代码：56_01677152
• 类别：mt
• 出版时间：July, 2012
• 卷：82
• 期：7
• 页码：1367-1373
• 文件大小：289 K

摘要

We study the uniformity of two-level -type designs based on the centered and wrap-around -discrepancies. Based on the known formulation of the measures of uniformity, we present some new lower bounds to centered and wrap-around -discrepancies, which can be used as benchmarks in searching uniform -type designs or helping to proof that a good design is in fact uniform. Using the efficient algorithm proposed in聽, some two-level uniform designs are obtained.