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

Syntax

Weibull.quantile(u, y_min=0, y_max=1, lambda=1, k=1);

Description

This function computes the inverse cumulative distribution function (= quantile) according to a truncated Weibull distribution with minimum value u_min, maximum value u_max, scale parameter of original distribution lambda and shape parameter of original distribution k. Input argument u must be in the range:

0 ≤ u ≤ 1

Output argument y is in the range:

y_min ≤ y ≤ y_max

Plot of the function:

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

Example

  quantile(0.001)           // = 0.0006323204312624211;
  quantile(0.5,0,1,0.5,0.9) // = 0.256951787882498

See also

TruncatedWeibull.density, TruncatedWeibull.cumulative.

y = quantile(u, y_min, y_max, lambda, k)

u	Type: Real Description: Random number in the range 0 <= u <= 1
y_min	Default Value: 0 Type: Real Description: Lower limit of y
y_max	Default Value: 1 Type: Real Description: Upper limit of y
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