Abstract
Inversive methods are attractive alternatives to the linear method for pseudorandom number generation. A particularly attractive method is the digital explicit inversive method recently introduced by the authors. We establish some new results on the statistical properties of parallel streams of pseudorandom numbers generated by this method. In particular, we extend the results of the first author on the statistical properties of pseudorandom numbers generated by the explicit inversive congruential method introduced by Eichenauer-Herrmann. These results demonstrate that the new method is eminently suitable for the generation of parallel streams of pseudorandom numbers with desirable properties.
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Niederreiter, H., Winterhof, A. On a new class of inversive pseudorandom numbers for parallelized simulation methods. Periodica Mathematica Hungarica 42, 77–87 (2001). https://doi.org/10.1023/A:1015296523748
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DOI: https://doi.org/10.1023/A:1015296523748