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

DOI10.2307/2005370zbMath0303.65003OpenAlexW4229990626MaRDI QIDQ4057989

Harald Niederreiter

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2005370

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Random number generation in numerical analysis (65C10) Trigonometric and exponential sums (general theory) (11L03) Numerical integration (65D30) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Related Items (11)

On the distribution of pseudorandom vectors generated by elliptic curves ⋮ Digital expansion of exponential sequences ⋮ Pseudo-random numbers and optimal coefficients ⋮ The serial test for linear congruential pseudo-random numbers ⋮ Evaluation of the discrepancy of the linear congruential pseudo-random number sequences ⋮ Quasi-Monte Carlo methods and pseudo-random numbers ⋮ The serial test for pseudo-random numbers generated by the linear congruential method ⋮ The Exact Determination of Rectangle Discrepancy for Linear Congruential Pseudorandom Numbers ⋮ Optimale Koeffizienten bezüglich zusammengesetzter Zahlen. (Optimal coefficients modulo composite numbers) ⋮ On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method. III ⋮ Proof techniques in quasi-Monte Carlo theory

Cites Work

• Discrepancy and convex programming
• Berry-Esseen bounds and a theorem of Erdős and Turan on uniform distribution mod 1
• On the uniform ε-distribution of residues within the periods of rational fractions with applications to normal numbers
• On the exponential sum
• A NEW TYPE OF EXPONENTIAL SERIES
• On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method
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