## Random Number Distributions

This chapter describes functions for generating random variates and
computing their probability distributions. Samples from the
distributions described in this chapter can be obtained using any of the
random number generators in the library as an underlying source of
randomness.

In the simplest cases a non-uniform distribution can be obtained
analytically from the uniform distribution of a random number generator
by applying an appropriate transformation. This method uses one call to
the random number generator. More complicated distributions are created
by the acceptance-rejection method, which compares the desired
distribution against a distribution which is similar and known
analytically. This usually requires several samples from the generator.

The library also provides cumulative distribution functions and inverse
cumulative distribution functions, sometimes referred to as quantile
functions. The cumulative distribution functions and their inverses are
computed separately for the upper and lower tails of the distribution,
allowing full accuracy to be retained for small results.

The functions for random variates and probability density functions
described in this section are declared in `gsl_randist.h`

. The
corresponding cumulative distribution functions are declared in
`gsl_cdf.h`

.