On Generalized Inversive Congruential Pseudorandom Numbers

DOI10.2307/2153575zbMath0868.11035OpenAlexW2166639781MaRDI QIDQ4305967

Jürgen Eichenauer-Herrmann

Publication date: 3 June 1997

Full work available at URL: https://doi.org/10.2307/2153575

zbMATH Keywords

statistical independencegenerating uniform pseudorandom numbersgeneralized inversive congruential pseudorandom numbersgeneralized inversive congruential sequence

Mathematics Subject Classification ID

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

Related Items

On the structure of digraphs of polynomial transformations over finite commutative rings with unity, Compound inversive congruential pseudorandom numbers: an average-case analysis, On a nonlinear congruential pseudorandom number generator, Pseudorandom vector generation by the compound inversive method, The serial test for a nonlinear pseudorandom number generator, Average discrepancy, hyperplanes, and compound pseudorandom numbers

Cites Work

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• Recent trends in random number and random vector generation
• Pseudo-random numbers and optimal coefficients
• On the period length of generalized inversive pseudorandom number generators
• On large deviations of the empiric D.F. of vector chance variables and a law of the iterated logarithm
• 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
• Statistical Independence of a New Class of Inversive Congruential Pseudorandom Numbers