Letters to the editor: on the multidimensional uniformity of pseudorandom generators

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Letters to the editor: on the multidimensional uniformity of pseudorandom generators

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Communications of the ACM archive
Volume 12 , Issue 5 (May 1969) table of contents

Page: 247

Year of Publication: 1969

ISSN:0001-0782

Author

John RB Whittlesey

Houston, TE

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 1, Downloads (12 Months): 10, Citation Count: 3

Additional Information:

references cited by index terms

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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	MARSAGLIA, G. Random numbers fall mainly in the planes. Proc. Nat. Acad. Sci., 60, 5 (Sept. 1968), 25-28.
	2	TAUSWORTHE, ROBERT C. Random numbers generated by linear recurrence modulo two. Math. Comput. 19 (1965), 201- 209.
	3	John RB Whittlesey, A comparison of the correlational behavior of random number generators for the IBM 360, Communications of the ACM, v.11 n.9, p.641-644, Sept. 1968 [doi>10.1145/364063.364095]
	4	TOOTILL, J. P .R . Personal communication, Oct. 1968.
	5	LEVENE, H. AND WOLFOWITZ, J. The covariance matrix of runs up and down. Ann. Math. Star. 19 (1944), 58-69.
	6	R. R. Coveyou , R. D. Macpherson, Fourier Analysis of Uniform Random Number Generators, Journal of the ACM (JACM), v.14 n.1, p.100-119, Jan. 1967 [doi>10.1145/321371.321379]
	7	____, Personal communication, 1967.

CITED BY 3

	Bruce Jay Collings , G. Barry Hembree, Initializing generalized feedback shift register pseudorandom number generators, Journal of the ACM (JACM), v.33 n.4, p.706-711, Oct. 1986
	W. H. Payne, Fortran Tausworthe pseudorandom number generator, Communications of the ACM, v.13 n.1, p.57, Jan. 1970
	J. P. R. Tootill , W. D. Robinson , A. G. Adams, The Runs Up-and-Down Performance of Tausworthe Pseudo-Random Number Generators, Journal of the ACM (JACM), v.18 n.3, p.381-399, July 1971

INDEX TERMS

Keywords:
Fourier analysis, Marsaglia's theorem, Monte Carlo applications, Tausworthe generators, digital shift registers, linear recurrence modulo two generators, multidimensional uniformity, multiplicative congruential (Lehmer) generators, parallel hyperplanes, pseudo-random numbers, random n-tuples, random number analysis, random number generators, runs up-and-down, statistical tests for randomness, uniform hyper-cubes

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