- Function DistributionCumulative(distribution, x)
DistributionCumulative
The function DistributionCumulative
computes the cumulative
probability value of a given distribution.
DistributionCumulative(
distribution, ! (input) distribution
x ! (input) numerical expression
)
Arguments
- distribution
An expression representing any distribution (such as
Normal(0,1)
).- x
A scalar numerical expression.
Return Value
The function
CumulativeDistribution
(distribution,\(x\)), for \(x\in(-\infty,\infty)\) returns the probability \(P(X\leq x)\) where the stochastic variable \(X\) is distributed according to the given distribution.
Note
For continuous distributions AIMMS can compute the derivatives of the cumulative and inverse cumulative distribution functions. As a consequence, you may use these functions in the constraints of a nonlinear model when the second argument is a variable.
See also
The function DistributionInverseCumulative
. The function DistributionCumulative
is
discussed in full detail in Discrete Distributions of the Language Reference.