Article
An Extension of the Digital Method Based on B-Adic Integers
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Abstract
We introduce a hybridization of digital sequences with uniformly distributed sequences in the domain of b-adic integers, Z , b ∈ N \ {1}, by using b such sequences as input for generating matrices. The generating matrices are then naturally required to have finite row-lengths. We exhibit some relations of the ‘classical’ digital method to our extended version, and also give several examples of new constructions with their respective quality assessments in terms of t, T and discrepancy.
Keywords
quasi-Monte Carlo methods, construction, digital method.
Citation
Hofer, R. & Pirsic, I. (2018). An extension of the digital method based on b-adic integers. Uniform Distribution Theory, 13(1), 87–107. https://doi.org/10.1515/udt-2018-0005
R. Hofer and I. Pirsic, “An extension of the digital method based on b-adic integers,” Uniform Distribution Theory, vol. 13, no. 1, pp. 87–107, 2018, doi: 10.1515/udt-2018-0005.
Hofer R, Pirsic I. An extension of the digital method based on b-adic integers. Uniform Distribution Theory. 2018;13(1):87–107. doi:10.1515/udt-2018-0005.
Hofer, R. and Pirsic, I. (2018), ‘An extension of the digital method based on b-adic integers’, Uniform Distribution Theory, 13(1), pp. 87–107. Available at: https://doi.org/10.1515/udt-2018-0005.
Hofer, Roswitha, and Isabel Pirsic. “An Extension of the Digital Method Based on B-adic Integers.” Uniform Distribution Theory, vol. 13, no. 1, 2018, pp. 87–107. https://doi.org/10.1515/udt-2018-0005.
Hofer, Roswitha, and Isabel Pirsic. “An Extension of the Digital Method Based on B-adic Integers.” Uniform Distribution Theory 13, no. 1 (2018): 87–107. https://doi.org/10.1515/udt-2018-0005.
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Published by: Engineering Journals
