Transformation | The resulting distribution | |
| Exponential Weibull distribution |
|
Special cases |
|
|
i) | Exponentiated exponential (α, β) |
|
ii) | Weibull (α, θ) |
|
iii) | Burr type X (α, β) |
|
iv) | Exp (α) |
|
v) | Rayleigh (α) |
|
| Generalized Uniform (α, β, w, c) |
|
Special cases |
| |
i) | BetaType I (1, β) | |
ii) | Inverted generalized Pareto Type I (α, β, w) | |
iii) | Uniform (0, 1) | |
| Left truncated exponentiated exp (α, β, θ, b) |
|
Special cases |
| |
i) | Left truncated exp (α, θ, b) | |
ii) | Exp (α, θ) | |
| Exponentiated Burr type XII (α, β, s, c) |
|
Special cases |
| |
i) | Burr type XII (α, s, c) | |
ii) | Generalized Lomax (Pareto type II) (α, s) | |
iii) | Beta type II (1, α) | |
iv) | F-distribution (2, 2α) | |
| Kumaraswamy-Dagum (α, β, λ, s) |
|
i) | Dagum (α, λ, s) | |
ii) | Kumaraswamy-Burr type III (α, β, s) | |
iii) | Burr type III (α, s) | |
iv) | Kumaraswamy-Fisk (log logistic) (λ, β, s) | |
| Kumaraswamy-inverse Weibull (α, β, 𝜃, 𝑏) |
|
i) | Kumaraswamy-inverse exponential (α, β, 𝜃) | |
ii) | nverse exponential (α, 𝜃) |