Stream correlations in multiple recursive and congruential generators
R Davies and
R J Brooks
Journal of Simulation, 2007, vol. 1, issue 2, 131-135
Abstract:
The use of common random numbers is a method of variance reduction usually implemented by allocating different but repeatable random number streams to different distributions in a simulation. Linear or multiplicative congruential generators with linearly related seeds for the streams are commonly used. We show that there is a simple mathematical relationship between the ith number in streams of multiple recursive or congruential generators and that streams produced from linearly related seeds have serious undesirable correlations.
Date: 2007
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DOI: 10.1057/palgrave.jos.4250013
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