A best possible upper bound on the star discrepancy of (t, m, 2)-nets

被引：0
|
作者：
Dick, Josef [1 ]
Kritzer, Peter [2 ]
机构：
[1] Univ New South Wales, Sch Math, Sydney, NSW 2052, Australia
[2] Univ Salzburg, Dept Math, Hellbrunnerstr 34, A-5020 Salzburg, Austria
来源：
MONTE CARLO METHODS AND APPLICATIONS | 2006年 / 12卷 / 01期
基金：
澳大利亚研究理事会;
关键词：
(t; m; s)-net; s)-sequence; star discrepancy;
D O I：
暂无
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We study the star discrepancy of (t, m, 2)-nets and (t, 2)-sequences in arbitrary base b. We give best possible upper bounds on the star discrepancy of (t, m, 2)-nets and show new upper bounds on the star discrepancy of (t, 2)-sequences. By these results, which shall be obtained by combinatorial arguments, we improve existing upper bounds on the star discrepancy of such point sets.
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页码：1 / 17
页数：17
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