Abstract
This review paper deals with nonlinear methods for the generation of uniform pseudorandom numbers in the unit interval. The emphasis is on results of the theoretical analysis of quadratic congruential and (recursive) inversive congruential generators, which are scattered over a fairly large number of articles. Additionally, empirical results of some sample generators in a two—level overlapping serial test are given.
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Eichenauer-Herrmann, J., Herrmann, E., Wegenkittl, S. (1998). A survey of quadratic and inversive congruential pseudorandom numbers. In: Niederreiter, H., Hellekalek, P., Larcher, G., Zinterhof, P. (eds) Monte Carlo and Quasi-Monte Carlo Methods 1996. Lecture Notes in Statistics, vol 127. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1690-2_4
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