Function Gamma(Shape, Lowerbound, Scale)

# Gamma

The function Gamma draws a random value from a gamma distribution.

Gamma(
Shape,        ! (input) numerical expression
Lowerbound,   ! (optional) numerical expression
Scale         ! (optional) numerical expression
)


## Arguments

Shape

A scalar numerical expression $$> 0$$.

Lowerbound

A scalar numerical expression $$> 0$$.

Scale

A scalar numerical expression $$> 0$$.

## Return Value

The function Gamma returns a random value drawn from a gamma distribution with shape Shape, lower bound Lowerbound and scale Scale.

Note

The prototype of this function has changed with the introduction of AIMMS 3.4. In order to run models that still use the original prototype, the option Distribution_compatibility should be set to Aimms_3_0. The original function Gamma(alpha, Shape) returns a random value drawn from a gamma distribution with rate $$alpha = 1/Scale$$, shape Shape and lower bound $$0$$.

See also

The Gamma distribution is discussed in full detail in Discrete Distributions of the Language Reference.