Double设计的几个结果

Some results of Double design

讨论了Double设计在对称化L2-偏差下的均匀性,给出了Double设计为均匀设计的充要条件,同时得到了Double设计的对称化L2-偏差的下界,来评价Double设计的均匀性,最后通过一个例子来验证理论结果。

The uniformity of Double design is discussed in the condition of symmetric L2-discrepancy. The necessary and sufficient condition in given that Double design is a uniform design. In addition,a lower bound of symmetric L2-discrepancy of Double design is obtained,which can be used to assess the uniformity of Double design. Finally,an example is presented to prove the theoretical results.