On the distribution of compound inversive congruential pseudorandom numbers

Please use this identifier to cite or link to this item: https://doi.org/10.1007/s006050170057

Title:	On the distribution of compound inversive congruential pseudorandom numbers
Authors:	Niederreiter, H. Winterhof, A.
Keywords:	Compound method Discrepancy Exponential sums Inversive congruential method Pseudorandom numbers
Issue Date:	2001
Citation:	Niederreiter, H., Winterhof, A. (2001). On the distribution of compound inversive congruential pseudorandom numbers. Monatshefte fur Mathematik 132 (1) : 35-48. ScholarBank@NUS Repository. https://doi.org/10.1007/s006050170057
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 worstcase 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.
Source Title:	Monatshefte fur Mathematik
URI:	http://scholarbank.nus.edu.sg/handle/10635/103789
ISSN:	00269255
DOI:	10.1007/s006050170057
Appears in Collections:	Staff Publications

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