Article
Lower Bound for the Diaphony of Generalised Van Der Corput Sequences in Arbitrary Base B
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Abstract
The diaphony is a common measure for uniformity of a given infinite sequence. We discuss a method of Faure which he used to obtain an upper bound for the diaphony of generalised van der Corput sequences in arbitrary base b. We extend this method to derive a lower bound as well as a criterion to decide whether two sequences have the same distribution behaviour.
Keywords
Diaphony, generalised van der Corput sequence.
Citation
Pausinger, F. & Schmid, W. C. (2011). Lower bound for the diaphony of generalised van der corput sequences in arbitrary base b. Uniform Distribution Theory, 6(2), 31–46.
F. Pausinger and W. C. Schmid, “Lower bound for the diaphony of generalised van der corput sequences in arbitrary base b,” Uniform Distribution Theory, vol. 6, no. 2, pp. 31–46, 2011.
Pausinger F, Schmid WC. Lower bound for the diaphony of generalised van der corput sequences in arbitrary base b. Uniform Distribution Theory. 2011;6(2):31–46.
Pausinger, F. and Schmid, W. C. (2011), ‘Lower bound for the diaphony of generalised van der corput sequences in arbitrary base b’, Uniform Distribution Theory, 6(2), pp. 31–46.
Pausinger, Florian, and Wolfgang Ch. Schmid. “Lower Bound for the Diaphony of Generalised Van Der Corput Sequences in Arbitrary Base B.” Uniform Distribution Theory, vol. 6, no. 2, 2011, pp. 31–46.
Pausinger, Florian, and Wolfgang Ch. Schmid. “Lower Bound for the Diaphony of Generalised Van Der Corput Sequences in Arbitrary Base B.” Uniform Distribution Theory 6, no. 2 (2011): 31–46.
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Published by: Engineering Journals
