| Distribution | F(x) | g(x) | a | b | c | d | p |
|---|---|---|---|---|---|---|---|
| Weibull |  |
 |
0 | 1 | 1 | -1 | 1 |
| Pareto of the first kind |  |
 |
1 | -1 | 0 | λ | β |
| Burr XII |  |
xp | 1 | -1 | 1 | θ | -λ |
| Rayleigh |  |
 |
0 | 1 | 1 | -1 | 1 |
| Lindley |  |
 |
1 |  |
0 | 1 | 1 |
| Lomax |  |
x | 1 | -1 | 1 | θ | -λ |
| Dagum |  |
x-β | 0 | 1 | 1 | θβ | -α |
| Pareto of the second kind |  |
x | 1 | -1 | 1 | 1 | -λ |
| Exponential |  |
ex | 0 | 1 | 1 | -1 | -λ |
| Cauchy |
 
|
 |
 |
 |
0 | 1 | 1 |
| Kumaraswamy |  |
xp | 1 | -1 | 1 | -1 | λ |
| Exponentiated Gumbel |  |
 |
1 | -1 | 1 | -1 | θ |
| Exponentiated power Lindley |  |
 |
0 | 1 | 1 | |
α |