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- Pierre L 'ecuyer, P L 'ecuyer, J.-F Cordeau, A Compagner
- 1997

Uniformity tests based on a discrete form of entropy are introduced and studied in the context of empirical testing of uniform random number generators. Comparisons are made with tests based on the Pearson chi-square statistic. Numerical results are provided and several currently used generators fail the tests. The linear congruential and nonlinear… (More)

The randomness properties and the hierarchy of correlation coefficients are studied of approximate-maximum-length sequences, for which the characteristic polynomial is a product of several primitive polynomials. The randomness properties are almost the same as for maximum-length sequences characterized by a primitive polynomial with many terms and of the… (More)

- Aaldert Compagner
- Winter Simulation Conference
- 1992

Based on an ensemble-theoretical definition of randomness and on the full hierarchy of correlation coefficients, a general strategy for the generation of random numbers is described. Use is made of welltempered pseudorandom sequences, in which the remaining correlations are of very high order or cover extreme distances and thus are beyond the reach of usual… (More)

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