Compound inversive congruential pseudorandom numbers: an average-case analysis

DOI10.1090/S0025-5718-96-00675-8zbMath0852.11041OpenAlexW1977640953MaRDI QIDQ4878543

Frank Emmerich, Jürgen Eichenauer-Herrmann

Publication date: 8 August 1996

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-96-00675-8

zbMATH Keywords

exponential sumsequidistributiondiscrepanciescompound inversive congruential pseudorandom numberscompound methodstatistical independenceserial testinversive congruential generator

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10) Irregularities of distribution, discrepancy (11K38) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (3)

On the distribution of inversive congruential pseudorandom numbers in parts of the period ⋮ Average discrepancy, hyperplanes, and compound pseudorandom numbers ⋮ On the average distribution of inversive pseudorandom numbers

Cites Work

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• Inversive Congruential Pseudorandom Numbers Avoid the Planes
• 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
• Improved Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers
• On Generalized Inversive Congruential Pseudorandom Numbers
• Pseudorandom Number Generation by Nonlinear Methods

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