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

DOI10.1515/156939606776886643zbMath1103.11022OpenAlexW2038921847MaRDI QIDQ3412508

Peter Kritzer, Josef Dick

Publication date: 6 December 2006

Published in: Monte Carlo Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939606776886643

zbMATH Keywords

upper boundtwo-dimensional digital nets

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (5)

Van der Corput sequences towards general \((0,1)\)-sequences in base \(b\) ⋮ New star discrepancy bounds for \((t,m,s)\)-nets and \((t,s)\)-sequences ⋮ Quasi-Monte Carlo rules for numerical integration over the unit sphere \({\mathbb{S}^2}\) ⋮ Improved upper bounds on the star discrepancy of \((t,m,s)\)-nets and \((t,s)\)-sequences ⋮ A thorough analysis of the discrepancy of shifted Hammersley and van der Corput point sets

Cites Work

• Unnamed Item
• Unnamed Item
• Point sets and sequences with small discrepancy
• A method for exact calculation of the stardiscrepancy of plane sets applied to the sequences of Hammersley
• Star discrepancy estimates for digital \((t,m,2)\)-nets and digital \((t,2)\)-sequences over \(\mathbb Z_2\)
• On some remarkable properties of the two-dimensional Hammersley point set in base 2
• The extreme and \(L^2\) discrepancies of some plane sets

This page was built for publication: A best possible upper bound on the star discrepancy of (t, m, 2)-nets