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We will briefly review methods for and issues in generating uniform
pseudo-random numbers. Monahan discusses these issues in Section
10.5. We will then look at methods of generating random variables
from other distributions. Monahan discusses this in Chapter 11. You
should also read Chapter 6 in Givens and Hoeting through 6.2.3.
You should look at the facilities R provides for generating variates
from standard distributions (rnorm, rgamma, etc.).
Also look at the control provided by RNGkind over the
underlying method for generating uniform pseudo-random numbers.
Luke Tierney
2016-04-29