.Modelica.Math.Distributions.Weibull.quantile

Information

Syntax

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

Description

This function computes the inverse cumulative distribution function (= quantile) according to a Weibull distribution with scale parameter lambda and shape parameter k. Equation:

y := lambda * (-log( 1-u)) ^(1/k);

Input argument u must be in the range:

0 ≤ u < 1

Plot of the function:

For more details, see Wikipedia.

Example

  quantile(0)         // = 0
  quantile(0.5,1,0.5) // = 0.41627730557884884

See also

Weibull.density, Weibull.cumulative.

Interface

function quantile
  extends Modelica.Math.Distributions.Interfaces.partialQuantile;
  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 quantile;

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