functioncumulative

Cumulative distribution function of uniform distribution

Extends from Modelica_Noise.Math.Distributions.Interfaces.partialCumulative (Common interface of cumulative distribution functions).

Information

Syntax

Uniform.cumulative(u, u_min=0, u_max=1);

Description

This function computes the cumulative distribution function according to a uniform distribution in a band. The returned value y is in the range:

0 ≤ y ≤ 1

Plot of the function:

For more details, see Wikipedia.

Example

  cumulative(0.5)    // = 0.5
  cumulative(0,-1,1) // = 0.5

See also

Uniform.density, Uniform.quantile.

Inputs

TypeNameDefaultDescription
Realu (from partialCumulative)Value over the real axis (-inf < u < inf)
Realu_min0Lower limit of u
Realu_max1Upper limit of u

Outputs

TypeNameDefaultDescription
Realy (from partialCumulative)Value in the range 0 <= y <= 1

Revisions

Date Description
June 22, 2015
Initial version implemented by A. Klöckner, F. v.d. Linden, D. Zimmer, M. Otter.
DLR Institute of System Dynamics and Control