Improved upper bounds on the star discrepancy of (t, m, s)-nets and (t, s)-sequences

Peter Kritzer

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Improved upper bounds on the star discrepancy of (t, m, s)-nets and (t, s)-sequences

机译：改进了（t，m，s）-网和（t，s）-序列星号差异的上限

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The concepts of (t, m, s)-nets and (t, s)-sequences are among the best known classes of point sets in the theory of quasi-Monte Carlo methods. In this paper, we give new general upper bounds for the star discrepancy of (t, m, s)-nets and (t, s)-sequences. By these findings, we improve existing upper bounds on the discrepancy of such point sets and extend results that have been obtained for low-dimensional nets and sequences during the past years.

机译：（t，m，s）-网络和（t，s）-序列的概念是准蒙特卡罗方法理论中最著名的点集类别。在本文中，我们为（t，m，s）-网和（t，s）-序列的星号差异给出了新的一般上限。通过这些发现，我们改善了此类点集差异的现有上限，并扩展了过去几年中针对低维网络和序列获得的结果。

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来源
《Journal of complexity》 |2006年第3期|p.336-347|共12页
作者
Peter Kritzer;
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作者单位

Department of Mathematics, University of Salzburg, Hellbrunnerstr. 34, 5020 Salzburg, Austria;

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原文格式 PDF
正文语种 eng
中图分类数理科学和化学;
关键词
(t, m, s)-net; (t, s)-sequence; star discrepancy;

机译：（t;m;s）-net;（t;s）-sequence;星号差异;

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1. New star discrepancy bounds for (t,m,s)-nets and (t,s)-sequences [J] . Henri Faure, Peter Kritzer Monatshefte für Mathematik . 2013,第1期

机译：（t，m，s）-nets和（t，s）-序列的新星偏差范围
2. New star discrepancy bounds for(t,m,s)-nets and (t,s)-sequences [J] . Faure H., Kritzer P. Monatshefte fur Mathematik . 2013,第1期

机译：（t，m，s）-nets和（t，s）-序列的新星偏差范围
3. A best possible upper bound on the star discrepancy of (t, m, 2)-nets [J] . Josef Dick, Peter Kritzer Monte Carlo Methods and Applications . 2006,第1期

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7. Improved upper bounds on the star discrepancy of (t,m,s)-nets and (t,s)-sequences [O] . Kritzer Peter 2006

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Improved upper bounds on the star discrepancy of (t, m, s)-nets and (t, s)-sequences

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