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  x^{p}  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  θ^{β}  α  
Pareto of the second kind  x  1  1  1  1  λ  
Exponential  e^{x}  0  1  1  1  λ  
Cauchy 

0  1  1  
Kumaraswamy  x^{p}  1  1  1  1  λ  
Exponentiated Gumbel  1  1  1  1  θ  
Exponentiated power Lindley  0  1  1  α 