On the equidistribution of pseudo-random numbers
Author:
J. N. Franklin
Journal:
Quart. Appl. Math. 16 (1958), 183-188
MSC:
Primary 10.00; Secondary 65.00
DOI:
https://doi.org/10.1090/qam/93501
MathSciNet review:
93501
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- Jack Moshman, The generation of pseudo-random numbers on a decimal calculator, J. Assoc. Comput. Mach. 1 (1954), 88–91. MR 61882, DOI https://doi.org/10.1145/320772.320775
J. Todd, Some experiments on the Monte Carlo method, presented before the Institute of Mathematical Statistics, Boston, 1951
- M. L. Juncosa, Random number generation on the BRL high-speed computing machines, Ballistic Research Laboratories, Aberdeen Proving Ground, Md., 1953. Rep. No. 855,. MR 0059617
E. Leshan, A general purpose Monte Carlo program, American-Standard Atomic Energy Division Report, 1956
- Hermann Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), no. 3, 313–352 (German). MR 1511862, DOI https://doi.org/10.1007/BF01475864
- Frédéric Riesz, Sur la théorie ergodique, Comment. Math. Helv. 17 (1945), 221–239 (French). MR 14218, DOI https://doi.org/10.1007/BF02566244
G. Birkhoff, Proof of the ergodic theorem, Proc. Natl. Acad. Sci. 18, 650 (1932)
- E. C. Titchmarsh, The theory of functions, Oxford University Press, Oxford, 1958. Reprint of the second (1939) edition. MR 3155290
J. Moshman, The generation of pseudo-random numbers on a decimal calculator, J. Assoc. for Computing Machinery 1, No. 2, 88 (1954)
J. Todd, Some experiments on the Monte Carlo method, presented before the Institute of Mathematical Statistics, Boston, 1951
M. Juncosa, Random number generation on the BRL high-speed computing machines, Rep. No. 855, Ballistic Research Laboratories, Aberdeen Proving Ground, 1953
E. Leshan, A general purpose Monte Carlo program, American-Standard Atomic Energy Division Report, 1956
H. Weyl, Über die Gleichverteilung von Zahlen mod. Eins., Math. Ann. 77, 313 (1916)
F. Riesz, Sur la théorie ergodique, Commentarii Mathematici Helvetici 17, 221 (1945)
G. Birkhoff, Proof of the ergodic theorem, Proc. Natl. Acad. Sci. 18, 650 (1932)
E. Titchmarsh, The theory of functions, Oxford University Press, 2nd Ed., 1939
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
10.00,
65.00
Retrieve articles in all journals
with MSC:
10.00,
65.00
Additional Information
Article copyright:
© Copyright 1958
American Mathematical Society
