Recent trends in random number and random vector generation
Annals of Operations Research
Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
On the statistical independence of nonlinear congruential pseudorandom numbers
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Compound inversive congruential pseudorandom numbers: an average-case analysis
Mathematics of Computation
A Unified Approach to the Analysis of Compound Pseudorandom Numbers
Finite Fields and Their Applications
On the statistical independence of compound pseudorandom numbers over part of the period
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Average Discrepancy, Hyperplanes, and Compound Pseudorandom Numbers
Finite Fields and Their Applications
Parallel Streams of Nonlinear Congruential Pseudorandom Numbers
Finite Fields and Their Applications
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The present paper deals with the compound general nonlinear congruential method for generating uniform pseudorandom numbers, which has been introduced recently. Equidistribution and statistical independence properties of the generated sequences over parts of the period are studied based on the discrepancy of certain point sets. The main result is an upper bound for the average value of these discrepancies, which rests on bounds for certain exponential sums.