On the star discrepancy of digital nets and sequences in three dimensions

被引：1
|
作者：
Kritzer, P [1 ]
机构：
[1] Salzburg Univ, Dept Math, A-5020 Salzburg, Austria
来源：
Monte Carlo and Quasi-Monte Carlo Methods 2004 | 2006年
关键词：
D O I：
10.1007/3-540-31186-6_17
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By relating the star discrepancy of a digital (t, m, 3)-net to that of a digital (t, 2)-sequence, we obtain new upper bounds on the star discrepancy of digital (t, m, 3)-nets. From these results, we derive new upper bounds on the star discrepancy of digital (t, 3)-sequences. We also show the existence of (0, m, 4)-nets with particularly low star discrepancy.
引用
收藏
页码：273 / 287
页数：15
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