Translator Disclaimer
November 2014 A lower bound on WAFOM
Takehito Yoshiki
Hiroshima Math. J. 44(3): 261-266 (November 2014). DOI: 10.32917/hmj/1419619746

Abstract

We give a lower bound on the Walsh figure of merit (WAFOM), which estimates the integration error for quasi-Monte Carlo (QMC) integration by a point set called a digital net. The logarithm of this lower bound is optimal up to a constant multiple, because the existence of point sets attaining the order was proved in K. Suzuki, "An explicit construction of point sets with large minimum Dick weight," to appear in J. Complexity.

Citation

Download Citation

Takehito Yoshiki. "A lower bound on WAFOM." Hiroshima Math. J. 44 (3) 261 - 266, November 2014. https://doi.org/10.32917/hmj/1419619746

Information

Published: November 2014
First available in Project Euclid: 26 December 2014

zbMATH: 1317.65023
MathSciNet: MR3296075
Digital Object Identifier: 10.32917/hmj/1419619746

Subjects:
Primary: 65C05

Rights: Copyright © 2014 Hiroshima University, Mathematics Program

JOURNAL ARTICLE
6 PAGES


SHARE
Vol.44 • No. 3 • November 2014
Back to Top