.Modelica_Noise.Math.Distributions.TruncatedWeibull.cumulative

Information

Syntax

Weibull.cumulative(u, u_min=0, u_max=1, lambda=1, k=1);

Description

This function computes the cumulative distribution function according to a truncated Weibull distribution with minimum value u_min, maximmum value u_max, scale parameter of original distribution lambda and shape parameter of original distribution k. The returned value y is in the range:

0 ≤ y ≤ 1

Plot of the function:

For more details
of the Weibull distribution, see Wikipedia,
of truncated distributions, see Wikipedia.

Example

  cumulative(0.5)             // = 0.6224593312018546
  cumulative(0.5,0,0.8,0.5,2) // = 0.6850805314988328

See also

TruncatedWeibull.density, TruncatedWeibull.quantile.

Interface

function cumulative
  import Modelica_Noise.Math.Distributions.Weibull;
  extends Modelica_Noise.Math.Distributions.Interfaces.partialTruncatedCumulative;
  input Real lambda(min = 0) = 1 "Scale parameter of the Weibull distribution" annotation(
    Dialog);
  input Real k(min = 0) "Shape parameter of the Weibull distribution" annotation(
    Dialog);
end cumulative;

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