This information is part of the Modelica Standard Library maintained by the Modelica Association.

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.

y = quantile(u, lambda, k)

u	Type: Real Description: Random number in the range 0 <= u <= 1
lambda	Default Value: 1 Type: Real Description: Scale parameter of the Weibull distribution
k	Type: Real Description: Shape parameter of the Weibull distribution

y	Type: Real Description: Random number u transformed according to the given distribution