Article
General Discrepancy Bound for Hybrid Sequences Involving Halton Sequences
Authors
, and
Abstract
Niederreiter initiated the study of the discrepancy of hybrid se- quences that are built from Halton sequences and sequences of pseudorandom numbers. The aims of this paper are multiple: we provide a general discrepancy bound for such hybrid sequences, we derive from it the results obtained by Nieder- reiter for concrete examples, and we apply this bound to two further examples that are related to recursive generators and were not considered so far. Finally, we briefly discuss the main tasks for the investigation of hybrid sequences that are built from digital sequences and pseudorandom number sequences.
Keywords
Discrepancy, hybrid sequence, Halton sequence, pseudorandom numbers.
Citation
Gomez-Perez, D., Hofer, R., & Niederreiter, H. (2013). General discrepancy bound for hybrid sequences involving halton sequences. Uniform Distribution Theory, 8(1), 31–45.
D. Gomez-Perez, R. Hofer and H. Niederreiter, “General discrepancy bound for hybrid sequences involving halton sequences,” Uniform Distribution Theory, vol. 8, no. 1, pp. 31–45, 2013.
Gomez-Perez D, Hofer R, Niederreiter H. General discrepancy bound for hybrid sequences involving halton sequences. Uniform Distribution Theory. 2013;8(1):31–45.
Gomez-Perez, D., Hofer, R. and Niederreiter, H. (2013), ‘General discrepancy bound for hybrid sequences involving halton sequences’, Uniform Distribution Theory, 8(1), pp. 31–45.
Gomez-Perez, Domingo, et al. “General Discrepancy Bound for Hybrid Sequences Involving Halton Sequences.” Uniform Distribution Theory, vol. 8, no. 1, 2013, pp. 31–45.
Gomez-Perez, Domingo, Roswitha Hofer, and Harald Niederreiter. “General Discrepancy Bound for Hybrid Sequences Involving Halton Sequences.” Uniform Distribution Theory 8, no. 1 (2013): 31–45.
Export citation
Published by: Engineering Journals
