mean | α + gamma β mode | α standard deviation | (π β)/sqrt(6) variance | (π^2 β^2)/6 skewness | (12 sqrt(6) ζ(3))/π^3≈1.13955

e^((α - x)/β - e^((α - x)/β))/β

P (X<=x) = e^(-e^((α - x)/β))

10th | α - 0.834032 β 25th | α - 0.326634 β 50th | α + 0.366513 β 75th | α + 1.2459 β 90th | α + 2.25037 β