The Metalog Distributions

Weibull Metalogs

Nine-term semi-bounded metalogs, parameterized by nine points from a range of Weibull distributions, yield metalog PDFs that are virtually indistinguishable from the Weibull PDFs.

Weibull CDF points (orange) used to parameterize semi-bounded metalogs
Metalog PDFs (dashed yellow) so parameterized are virtually indistinguishable from Weibull PDFs (blue)