A.3 Transformed gamma family

A.3.1 Three-parameter distributions

A.3.1.1 Transformed gamma—α, θ, τ (generalized gamma)

equation

A.3.1.2 Inverse transformed gamma—α, β, τ (inverse generalized gamma)

equation

A.3.2 Two-parameter distributions

A.3.2.1 Gamma—α, θ (When α = n/2 and θ = 2, it is a chi-square distribution with n degrees of freedom.)

equation

A.3.2.2 Inverse gamma—α, θ (Vinci)

equation

A.3.2.3 Weibull—θ, τ

equation

A.3.2.4 Inverse Weibull—θ, τ (log-Gompertz)

equation

A.3.3 One-parameter distributions

A.3.3.1 Exponential—θ

equation

equation

A.3.3.2 Inverse exponential—θ

equation

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