Recent trends in random number and random vector generation
Annals of Operations Research
New methods for pseudorandom numbers and pseudorandom vector generation
WSC '92 Proceedings of the 24th conference on Winter simulation
On generalized inversive congruential pseudorandom numbers
Mathematics of Computation
On a new class of pseudorandom numbers for simulation methods
Journal of Computational and Applied Mathematics
Compound inversive congruential pseudorandom numbers: an average-case analysis
Mathematics of Computation
Average equidistribution properties of compound nonlinear congruential pseudorandom numbers
Mathematics of Computation
A Unified Approach to the Analysis of Compound Pseudorandom Numbers
Finite Fields and Their Applications
Average Behaviour of Compound Nonlinear Congruential 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)
On the Average Distribution of Inversive Pseudorandom Numbers
Finite Fields and Their Applications
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This paper deals with compound nonlinear congruential methods for generating uniform pseudorandom numbers. The average equidistribution and statistical independence behavior of the generated sequences over arbitrary parts of the period is studied, based on the average value of the discrepancy of certain point sets. General upper bounds for these average values are established, which depend on the number of points on certain hyperplanes over finite fields. These bounds are applied to the compound explicit inversive congruential method, which has been introduced recently.