Upper bounds in spectral test for multiple recursive random number generators with missing terms

DOI10.1016/S0898-1221(97)00012-6zbMath0879.65001OpenAlexW2069588041MaRDI QIDQ679270

Huey-Chin Tang, Chiang Kao

Publication date: 7 January 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(97)00012-6

zbMATH Keywords

upper boundsmultiplicative random number generatorsspectral tests

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10)

Related Items (10)

Lower bounds in spectral tests for vectors of nonsuccessive values produced by multiple recursive generator with some zero multipliers ⋮ A partial exhaustive search for good two-term third-order multiple recursive random number generators ⋮ An exhaustive analysis of two-term multiple recursive random number generators with double precision floating point restricted multipliers ⋮ Searching for good two-term fifth-order multiple recursive random number generators ⋮ Distribution of lattice points ⋮ A revised forward and backward heuristic for two-term multiple recursive random number generators ⋮ Several extensively tested multiple recursive random number generators ⋮ A 4217th-order multiple recursive random number generator with modulus 2³¹– 69 ⋮ An exhaustive analysis of two-term multiple recursive random number generators with efficient multipliers ⋮ Combined random number generator via the generalized Chinese remainder theorem

Cites Work

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• How to Calculate Shortest Vectors in a Lattice
• Multiplicative Congruential Random Number Generators with Modulus 2 β : An Exhaustive Analysis for β = 32 and a Partial Analysis for β = 48
• An exhaustive analysis of prime modulus multiplicative congruential random number generators with modulus smaller than 2¹⁵
• Symmetry property of multiplicative congruential random number generator in chi-square test
• A search for good multiple recursive random number generators
• Fourier Analysis of Uniform Random Number Generators
• RANDOM NUMBERS FALL MAINLY IN THE PLANES

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