>
> Question still is. If I have different random variables, should I use the
> same random number generator or should I have a new one for every random
> variable. If I should use a new one. How do I obtain the deterministic
> sequence of initial seeds such that the different generators produce good
> independent sequences?
>

You do not need different RNGs for differing random variables. For example,
you can generate from a normal distribution and from a gamma distribution
using the same RNG.

For instance, people working with Bayesian statistics run a Markov chain
Monte Carlo algorithm, such as the Gibbs sampler, with a single RNG (eg.
gsl_rng_mt19937). In that algorithm, you may sample from different
conditional distributions (normal, gamma, beta, multivariate normal,
Student-t, Wishart, etc) using the same RNG.

That being said, if you use GSL, then initialize your RNG and use it in your
whole program. (The same happens in R and Matlab.) Thus, you only need to
save one RNG SEED.

Ralph.
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