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New methods for pseudorandom numbers and pseudorandom vector generation

Published: 01 December 1992 Publication History
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References

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Cochrane, T. 1987. On a trigonometric inequality of Vinogradov. Journal of Number Theory 27:9-16.
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Couture, R., P. L'Ecuyer, and S. Tezuka. 1992. On the distribution of k-dimensional vectors for simple and combined Tausworthe sequences. Mathematics of Computation, to appear.
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Devroye, L. 1986. Non-uniform random variate generation. New York: Springer.
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Eichenauer, J., H. Grothe, and j. Lehn. 1988. Marsaglia's lattice test and non-linear congruential pseudo random number generators. Metrika 35: 241-250.
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Eichenauer, J., and J. Lehn. 1986. A non-linear congruential pseudo random number generator. Statistical Papers 27: 315-326.
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Eichenauer-Herrmann, J. 1991. Inversive congruential pseudorandom numbers avoid the planes. Mathematics of Computation 56: 297-301.
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Eichenauer-Herrmann, J. 1992a. Inversive congruential pseudorandom numbers: a tutorial. International Statistical Review, to appear.
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Eichenauer-Herrmann, J. 1992b. Statistical independence of a new class of inversive congruential pseudorandom numbers. Mathematzcs of Computation, to appear.
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Flahive, M., and H. Niederreiter. 1992. On inversive congruential generators for pseudorandom numbers. In Proceedings of the Internalional Conference on Finite Fields (Las Vegas, 1991), to appear.
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James, F. 1990. A review of pseudorandom nurnbet generators. Computer Physics Communications 60: 329-344.
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Knuth, D.E. 1981. The art of computer programming, vol. 2: Seminumerical algorithms. 2nd ed. Reading, MA: Addison-Wesley.
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L'Ecuyer, P. 1990. Random numbers for simulation. Communications of the A CM 33: no. 10, 85-97.
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L'Ecuyer, P., and S. Tezuka. 1991. Structural properties for two classes of combined random number generators. Mathematics of Computation 57: 735- 746.
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Marsaglia, G., and A. Zaman. 1991. A new class of random number generators. Annals of Applied Probability 1: 462-480.
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Moreno, C.J., and O. Moreno. 1991. Exponential sums and Goppa codes: I. Proceedings of the American Mathematical Society 111: 523-531.
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Niederreiter, H. 1987. Point sets and sequences with small discrepancy. Monatshefle fffr Mathematik 104: 273-337.
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Niederreiter, H. 1991. Recent trends in random number and random vector generation. Annals of Operations Research 31: 323-345.
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Niederreiter, I-I. 1992. Random number generation and quasi-Monte Carlo methods. Philadelphia: SIAM.

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cover image ACM Conferences
WSC '92: Proceedings of the 24th conference on Winter simulation
December 1992
1410 pages
ISBN:0780307984
DOI:10.1145/167293
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 December 1992

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WSC90: 1990 Winter Simulation Conference
December 13 - 16, 1992
Virginia, Arlington, USA

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