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.