Discrepancy estimates based on Haar functions

Karl Entacher

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 55, issue 1, 49-57

Abstract: We present a technique to estimate the star-discrepancy of (t, m, s)-nets using generalized Haar function systems and apply this technique to obtain upper bounds for the star-discrepancy of special digital (t, m, s)-nets in base 2 and dimension s=2.

Keywords: Star-discrepancy; Haar functions; Weyl sums; Quasi-Monte Carlo methods; (t, m, s)-nets; Low-discrepancy point sets; Hammersley point set (search for similar items in EconPapers)
Date: 2001
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475400002457
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:55:y:2001:i:1:p:49-57

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().