A New Test of Randomness for Lehmer Generators Based on the Manhattan Distance Between Pairs of Consecutive Random Numbers

DOI10.1080/03610918.2011.633728zbMath1327.62040OpenAlexW2110328605MaRDI QIDQ5299817

A. Khoshkenar, Hashem Mahlooji

Publication date: 21 June 2013

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2011.633728

zbMATH Keywords

Manhattan distancetest of randomnessLehmer random number generatorsMarsaglia effect

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Bayesian problems; characterization of Bayes procedures (62C10) Pseudo-random numbers; Monte Carlo methods (11K45)

Cites Work

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• An Exhaustive Analysis of Multiplicative Congruential Random Number Generators with Modulus $2^{31} - 1$
• Tables of linear congruential generators of different sizes and good lattice structure
• RANDOM NUMBERS FALL MAINLY IN THE PLANES
• Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes

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