Description Author(s) References Examples
Marsaglia and Tsang (JSS, 2000) introduced a very fast random number generator for drawing from a standard normal distribution. Leong, Zhang, Lee, Luk and Villasenor (JSS, 2005) suggested a simple improvement to provide better distributional properties.
This package implements both approaches, both in simple forms faithful to original papers, as well as in extended and modified versions of the C/C++ code provided by John Burkardt.
It also includes a variant which calls the fairly widely used Ziggurat implementation by Jochen Voss that is part of the GNU GSL. It uses the Mersenne-Twister as its uniform generator and does not suffer from the problem identified by Leong et al.
George Marsaglia and Wai Wan Tsang. The Ziggurat Method for Generating Random Variables. Journal of Statistical Software, Vol 5, Iss 8, Oct 2000 https://www.jstatsoft.org/v05/i08
Philip H W Leong, Ganglie Zhang, Dong-U Lee, Wayne Luk, and John Villasenor. A Comment on the Implementation of the Ziggurat method, Journal of Statistical Software, Vol 12, Iss 7, Feb 2005 https://www.jstatsoft.org/v12/i07
Website of John Burkardt. https://people.sc.fsu.edu/~jburkardt/
Website of Jochen Voss. https://www.seehuhn.de/pages/ziggurat
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set.seed(42) system.time(replicate(500, rnorm(10000))) zsetseed(42) system.time(replicate(500, zrnorm(10000)))
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