| Distribution |
F(x) |
g(x) |
a |
b |
c |
d |
| Weibull |
 |
xp |
1 |
-1 |
θ |
1 |
| Pareto of the first kind |
 |
lnx |
1 |
-λp
|
p |
1 |
| Burr XII |
 |
ln (1+θxp) |
1 |
-1 |
λ |
1 |
| Rayleigh |
 |
x2 |
1 |
-1 |
θ |
1 |
| Lomax |
 |
ln (1+θx) |
1 |
-1 |
λ |
1 |
| Inverse Weibull |
 |
x-p |
0 |
1 |
θ |
1 |
| Power function |
 |
 |
0 |
1 |
-p |
1 |
| Rectangular |
 |
ln(x-β) |
0 |
 |
-1 |
1 |
| Pareto of the second kind |
 |
ln (1+x) |
1 |
-1 |
λ |
1 |
| Exponential |
 |
x |
1 |
-1 |
λ |
1 |
| Inverse Exponential |
 |
 |
0 |
1 |
λ |
1 |
| Kumaraswamy |
 |
ln (1-xp) |
1 |
-1 |
-λ |
1 |
| Exponentiated Frechet |
 |
 |
1 |
-1 |
-θ |
1 |
| Exponentiated exponential |
 |
ln (1-e -λx) |
0 |
1 |
-θ |
1 |
| Burr X (Exponentiated Rayleigh) |
 |
x2
|
1 |
-1 |
β |
α |
| Exponentiated Weibull |
 |
xp
|
1 |
-1 |
β |
α |