Transformation

The resulting distribution

Pdf

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)