Statistical independence of linear congruential pseudo-random numbers
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- by Harald Niederreiter PDF
- Bull. Amer. Math. Soc. 82 (1976), 927-929
References
- U. Dieter, Pseudo-random numbers. The exact distribution of pairs, Math. Comp. 25 (1971), 855–883. MR 298727, DOI 10.1090/S0025-5718-1971-0298727-8
- L. Kuipers and H. Niederreiter, Uniform distribution of sequences, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1974. MR 0419394
- H. Niederreiter, Some new exponential sums with applications to pseudo-random numbers, Topics in number theory (Proc. Colloq., Debrecen, 1974) Colloq. Math. Soc. János Bolyai, Vol. 13, North-Holland, Amsterdam, 1976, pp. 209–232. MR 0447141
- Harald Niederreiter, Pseudo-random numbers and optimal coefficients, Advances in Math. 26 (1977), no. 2, 99–181. MR 476679, DOI 10.1016/0001-8708(77)90028-7 5. H. Niederreiter, The seriai test for pseudo-random numbers generated by the linear con-gruential method (in preparation).
Additional Information
- Journal: Bull. Amer. Math. Soc. 82 (1976), 927-929
- MSC (1970): Primary 65C10, 68A55; Secondary 10G05, 10K05
- DOI: https://doi.org/10.1090/S0002-9904-1976-14222-X
- MathSciNet review: 0419395