Function LogNormal(Shape, Lowerbound, Scale)

# LogNormal

The function LogNormal draws a random value from a lognormal distribution.

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


## Arguments

Shape

A scalar numerical expression $$> 0$$.

Lowerbound

A scalar numerical expression.

Scale

A scalar numerical expression $$> 0$$.

## Return Value

The function LogNormal returns a random value drawn from a lognormal 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 LogNormal(m, sd) returns a random value drawn from a lognormal distribution with mean $$m>0$$ and standard deviation $$sd>0$$. The same result should now be obtained by setting $$Shape = sd/m$$, $$Lowerbound=0$$ and $$Scale = m$$.

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