The sld package for R provides
random numbers, quantiles, probabilities, densities and density quantiles for the distribution. It provides Quantile-Quantile plots and method of L-Moments estimation (including asymptotic standard errors) for the distribution.

Probability Density Plots

The SLD is defined by its quantile function. The pdf is not available in closed form except for the
special cases the exponential, reflected exponential and logistic distributions. However the
density quantile function is available in closed form and it, along with the quantile function is
used by the mathematica CDF file below to draw densities of the SLD.