The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Maximally equidistributed combined Tausworthe generators
Open accessAbstract
Tausworthe random number generators based on a primitive trinomial allow an easy and fast implementation when their parameters obey certain restrictions. However, such generators, with those restrictions, have bad statistical properties unless we combine them. A generator is called maximally equidistributed if its vectors of successive values have the best possible equidistribution in all dimensions. This paper shows how to find maximally equidistributed combinations in an efficient manner, and gives a list of generators with that property. Such generators have a strong theoretical support and lend themselves to very fast software implementations.
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Citations
Cites
Testing random number generators
L'Ecuyer, P. (1992) · Proceedings of the 24th conference on Winter simulation - WSC '92 · doi:10.1145/167293.167354 · Cited by 115
Self-citation
Cited by
Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator
Matsumoto, M., & Nishimura, T. (1998) · ACM Transactions on Modeling and Computer Simulation · doi:10.1145/272991.272995 · Cited by 5,780
TestU01: A C library for empirical testing of random number generators
L'Ecuyer, P., & Simard, R. (2007) · ACM Transactions on Mathematical Software · doi:10.1145/1268776.1268777 · Cited by 1,014
Self-citationMonte Carlo and Quasi-Monte Carlo Sampling
(2009) · Springer Series in Statistics · doi:10.1007/978-0-387-78165-5 · Cited by 497
Improved long-period generators based on linear recurrences modulo 2
Panneton, F., L'Ecuyer, P., & Matsumoto, M. (2006) · ACM Transactions on Mathematical Software · doi:10.1145/1132973.1132974 · Cited by 283
Self-citationState-of-the-art in Heterogeneous Computing
Brodtkorb, A. R., Dyken, C., Hagen, T. R., Hjelmervik, J. M., & Storaasli, O. O. (2010) · Scientific Programming · doi:10.1155/2010/540159 · Cited by 257
Metadata
- Authors
- L’Ecuyer, P.
- Venue
- Mathematics of Computation
- Publisher
- American Mathematical Society (AMS)
- Published
- 1996
- Volume
- 65
- Issue
- 213
- Pages
- 203-213
- ISSN
- 0025-5718 (ISSN-L)
- 1088-6842
- OpenAlex
- W2125719594
- Cited by
- 267
- References
- 1
- FWCI
- 6.76
- Type
- journal article
- Language
- en
- Open access
- bronze
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- L’Ecuyer, P. (1996). Maximally equidistributed combined Tausworthe generators. Mathematics of Computation. https://doi.org/10.1090/s0025-5718-96-00696-5
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
