Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jco.2008.05.004
Title: On the exact t-value of Niederreiter and Sobol' sequences
Authors: Dick, J.
Niederreiter, H. 
Keywords: Digital sequence
Niederreiter sequence
Quasi-Monte Carlo method
Sobol' sequence
Issue Date: Oct-2008
Citation: Dick, J., Niederreiter, H. (2008-10). On the exact t-value of Niederreiter and Sobol' sequences. Journal of Complexity 24 (5-6) : 572-581. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jco.2008.05.004
Abstract: This paper studies several well-known families of (t, s)-sequences. First we determine the exact t-value of Niederreiter sequences. Then we analyze the exact t-value of generalized Niederreiter sequences and we show that, for a range of dimensions of practical interest, Niederreiter-Xing sequences are demonstrably better than Sobol' sequences in terms of the exact t-value. Previously, such a conclusion was not possible since only upper bounds on the exact t-value of these sequences and a general lower bound for all (t, s)-sequences were available. © 2008 Elsevier Inc. All rights reserved.
Source Title: Journal of Complexity
URI: http://scholarbank.nus.edu.sg/handle/10635/103794
ISSN: 0885064X
DOI: 10.1016/j.jco.2008.05.004
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