Distributions in statistical timing

How do you observe and highlight the impact of assumptions on gate-length variability distributions (if any) on final design timing distributions. How do you implement a simple statistical timer by (say) 500 Monte Carlo runs of STA (e.g. Primetime). Assume independent gate delays. Assume gate-delay distributions and generate circuit delay distributions. Delays can be changed in the SDF file. Interconnect may be ignored. Can we try tem for a few probability distributions (e.g. Gaussian, asymmetric Gamma, Triangular, etc).