New methods for pseudorandom numbers and pseudorandom vector generation

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New methods for pseudorandom numbers and pseudorandom vector generation

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Winter Simulation Conference archive
Proceedings of the 24th conference on Winter simulation table of contents

Arlington, Virginia, United States

Pages: 264 - 269

Year of Publication: 1992

ISBN:0-7803-0798-4

Author

Harald Niederreiter

Sponsors

ASA : American Statistical Association
NIST : National Institue of Standards & Technology
IEEE-CS : Computer Society
IEEE-SMCS : Systems, Man & Cybernetics Society
ACM: Association for Computing Machinery
ORSA : Operations Research Society of America
SIGSIM: ACM Special Interest Group on Simulation and Modeling
TIMS :
IIE : Institute of Industrial Engineers
SCS : Society for Computer Simulation

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 5, Downloads (12 Months): 18, Citation Count: 2

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Cochrane, T. 1987. On a trigonometric inequality of Vinogradov. Journal of Number Theory 27:9-16.
	2	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.
	3	Devroye, L. 1986. Non-uniform random variate generation. New York: Springer.
	4	Eichenauer, J., H. Grothe, and j. Lehn. 1988. Marsaglia's lattice test and non-linear congruential pseudo random number generators. Metrika 35: 241-250.
	5	Eichenauer, J., and J. Lehn. 1986. A non-linear congruential pseudo random number generator. Statistical Papers 27: 315-326.
	6	Eichenauer-Herrmann, J. 1991. Inversive congruential pseudorandom numbers avoid the planes. Mathematics of Computation 56: 297-301.
	7	Eichenauer-Herrmann, J. 1992a. Inversive congruential pseudorandom numbers: a tutorial. International Statistical Review, to appear.
	8	Eichenauer-Herrmann, J. 1992b. Statistical independence of a new class of inversive congruential pseudorandom numbers. Mathematzcs of Computation, to appear.
	9	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.
	10	James, F. 1990. A review of pseudorandom nurnbet generators. Computer Physics Communications 60: 329-344.
	11	Donald E. Knuth, The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms, Addison-Wesley Longman Publishing Co., Inc., Boston, MA, 1997
	12	Pierre L'Ecuyer, Random numbers for simulation, Communications of the ACM, v.33 n.10, p.85-97, Oct. 1990 [doi>10.1145/84537.84555]
	13	L'Ecuyer, P., and S. Tezuka. 1991. Structural properties for two classes of combined random number generators. Mathematics of Computation 57: 735- 746.
	14	Marsaglia, G., and A. Zaman. 1991. A new class of random number generators. Annals of Applied Probability 1: 462-480.
	15	Moreno, C.J., and O. Moreno. 1991. Exponential sums and Goppa codes: I. Proceedings of the American Mathematical Society 111: 523-531.
	16	Niederreiter, H. 1987. Point sets and sequences with small discrepancy. Monatshefle fffr Mathematik 104: 273-337.
	17	Harald Niederreiter, Recent trends in random number and random vector generation, Annals of Operations Research, v.31 n.1-4, p.323-346, June 1991 [doi>10.1007/BF02204856]
	18	Harald Niederreiter, Random number generation and quasi-Monte Carlo methods, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1992

CITED BY 2

	P. Hellekalek, Don't trust parallel Monte Carlo!, ACM SIGSIM Simulation Digest, v.28 n.1, p.82-89, July 1998
	Pierre L'Ecuyer, Uniform random number generators, Proceedings of the 30th conference on Winter simulation, p.97-104, December 13-16, 1998, Washington, D.C., United States