.Modelica.Math.Distributions.Weibull.density

Information

Syntax

Weibull.density(u, lambda=1, k=1);

Description

This function computes the probability density function according to a Weibull distribution with scale parameter lambda and shape parameter k. Equation:

y = if u >= 0 then (k/lambda)*(u/lambda)^(k - 1)*exp(-(u/lambda)^k) else 0.0;

Plot of the function:

For more details, see Wikipedia.

Example

  density(0.5)     // = 0.36787944117144233
  density(1,0.5,2) // = 0.14652511110987343

See also

Weibull.cumulative, Weibull.quantile.

Interface

function density
  extends Modelica.Math.Distributions.Interfaces.partialDensity;
  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 density;

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