Discrepancy estimates based on Haar functions

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.

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Year of publication:	2001
Authors:	Entacher, Karl
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 55.2001, 1, p. 49-57
Publisher:	Elsevier
Subject:	Star-discrepancy \| Haar functions \| Weyl sums \| Quasi-Monte Carlo methods \| (t \| s)-nets \| Low-discrepancy point sets \| Hammersley point set

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010870322