Function Pareto(Shape, Location, Scale)

# Pareto

The function Pareto draws a random value from a Pareto distribution.

Pareto(
Shape,           ! (input) numerical expression
Location,        ! (optional) numerical expression
Scale            ! (optional) numerical expression
)


## Arguments

Shape

A scalar numerical expression $$> 0$$.

Location

A scalar numerical expression.

Scale

A scalar numerical expression $$> 0$$.

## Return Value

The function Pareto returns a random value drawn from a Pareto distribution with shape Shape, location Location 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 Pareto(s, beta) returns a random value drawn from a Pareto distribution with shape beta, location $$0$$ and scale s.

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