On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method. III

DOI10.2307/2005328zbMath0342.65002OpenAlexW4238598855MaRDI QIDQ4110525

Harald Niederreiter

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2005328

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Random number generation in numerical analysis (65C10) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Related Items (11)

General discrepancy estimates. III: The Erdös-Turán-Koksma inequality for the Haar function system ⋮ A hybrid inequality of Erdős-Turán-Koksma for digital sequences ⋮ Monte Carlo methods for security pricing ⋮ Criteria for the assessment of random number generators ⋮ Digital expansion of exponential sequences ⋮ Pseudo-random numbers and optimal coefficients ⋮ Evaluation of the discrepancy of the linear congruential pseudo-random number sequences ⋮ Bounds on the discrepancy of linear recurring sequences over Galois rings ⋮ Low-discrepancy point sets obtained by digital constructions over finite fields ⋮ The serial test for pseudo-random numbers generated by the linear congruential method ⋮ Optimale Koeffizienten bezüglich zusammengesetzter Zahlen. (Optimal coefficients modulo composite numbers)

Cites Work

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• Berry-Esseen bounds and a theorem of Erdős and Turan on uniform distribution mod 1
• On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method. II
• On the cycle structure of linear recurring sequences.
• Random Numbers Generated by Linear Recurrence Modulo Two
• On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method

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