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On the Distribution of Compound Inversive Congruential Pseudorandom Numbers

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Abstract.

 Inversive methods are interesting alternatives to linear methods for pseudorandom number generation. A particularly attractive method is the compound inversive congruential method introduced and analyzed by Huber and Eichenauer-Herrmann. We present the first nontrivial worst-case results on the distribution of sequences of compound inversive congruential pseudorandom numbers in parts of the period. The proofs are based on new bounds for certain exponential sums.

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Authors and Affiliations

  1. National University of Singapore and Austrian Academy of Sciences, , , , , , AT

    Harald Niederreiter & Arne Winterhof

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  1. Harald Niederreiter
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  2. Arne Winterhof
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(Received 2 March 2000; in revised form 22 November 2000)

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Niederreiter, H., Winterhof, A. On the Distribution of Compound Inversive Congruential Pseudorandom Numbers. Mh Math 132, 35–48 (2001). https://doi.org/10.1007/s006050170057

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  • DOI: https://doi.org/10.1007/s006050170057

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