Combining random generators by group operation

DOI10.1080/00207160.2011.617439zbMath1253.65005OpenAlexW2050366491MaRDI QIDQ2885574

Grzegorz Oleksik

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.617439

zbMATH Keywords

limit theorempseudo-random numbersprobability distribution on finite groupuniform distribution, rate of convergence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random number generation in numerical analysis (65C10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

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• On combining pseudorandom number generators
• Uniform random number generation
• Combined generators with components from different families
• Combined Multiple Recursive Random Number Generators
• Implementing a random number package with splitting facilities
• Maximally equidistributed combined Tausworthe generators
• Generating random elements of abelian groups
• Uniform Random Number Generators
• One-line random number generators and their use in combinations
• On a Sequence of Random Variables, with Values in a Compact Commutative Group
• Speed of convergence of the n-fold convolution of a probability measure on a compact group
• Inequalities: theory of majorization and its applications

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