Statistical independence properties of pseudorandom vectors produced by matrix generators

DOI10.1016/0377-0427(90)90345-ZzbMath0708.65007OpenAlexW1978849721MaRDI QIDQ920538

Harald Niederreiter

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90345-z

zbMATH Keywords

finite fielddiscrepancymatrix generatorsfigure of meritserial testmultiplicative congruential generatorsrandom vector generatorsuniform pseudorandom vectorsuniformity test

Mathematics Subject Classification ID

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

Related Items (10)

Multicriteria engineering optimization problems: statement, solution and applications ⋮ Multicriteria analysis tools in real-life problems ⋮ Management of constraints in optimization problems ⋮ Recent trends in random number and random vector generation ⋮ Свойства распределений строк и столбцов для матричных линейных рекуррентных последовательностей первого порядка ⋮ Pseudorandom Vector Generation by the Multiple-Recursive Matrix Method ⋮ Uniform random number generation ⋮ Distributional properties of powers of matrices ⋮ Factorization of polynomials and some linear-algebra problems over finite fields ⋮ Hyperbolic automorphisms of tori and pseudo-random sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Point sets and sequences with small discrepancy
• On the number of matrices with given characteristic polynomial
• The serial test for pseudo-random numbers generated by the linear congruential method
• Statistical independence of nonlinear congruential pseudorandom numbers
• Marsaglia's lattice test and non-linear congruential pseudo-random number generators
• The lattice structure of pseudo-random vectors generated by matrix generators
• Pseudo-random numbers and optimal coefficients
• The Performance of k-Step Pseudorandom Number Generators under the Uniformity Test
• A Nonlinear Congruential Pseudorandom Number Generator with Power of Two Modulus
• On the discrepancy of GFSR pseudorandom numbers
• A Statistical Analysis of Generalized Feedback Shift Register Pseudorandom Number Generators
• The Serial Test for Congruential Pseudorandom Numbers Generated by Inversions
• The Exact Determination of Rectangle Discrepancy for Linear Congruential Pseudorandom Numbers
• Quasi-Monte Carlo methods and pseudo-random numbers
• Pseudo-Random Numbers: The Exact Distribution of Pairs
• On a trigonometric inequality of Vinogradov

This page was built for publication: Statistical independence properties of pseudorandom vectors produced by matrix generators