Lower bounds for the discrepancy of triples of inversive congruential pseudorandom numbers with power of two modulus

DOI10.1007/BF01317314zbMath0916.11046OpenAlexW2141368662MaRDI QIDQ1386385

Harald Niederreiter, Jürgen Eichenauer-Herrmann

Publication date: 19 July 1999

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178808

zbMATH Keywords

discrepancyinversive congruential pseudorandom numbersrational exponential sums

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (1)

Inversive congruential pseudorandom numbers: distribution of triples

Cites Work

• On the discrepancy of quadratic congruential pseudorandom numbers
• Recent trends in random number and random vector generation
• Uniform random number generation
• Equidistribution properties of inversive congruential pseudorandom numbers with power of two modulus
• A Nonlinear Congruential Pseudorandom Number Generator with Power of Two Modulus
• Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers
• The Serial Test for Congruential Pseudorandom Numbers Generated by Inversions
• Inversive Congruential Pseudorandom Numbers: A Tutorial
• Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers with Power of Two Modulus
• Kloosterman-type sums and the discrepancy of nonoverlapping pairs of inversive congruential pseudorandom numbers
• Pseudorandom Number Generation by Nonlinear Methods
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