functionquantile
Quantile of Weibull distribution
Extends from Modelica.Math.Distributions.Interfaces.partialQuantile (Common interface of quantile functions (= inverse cumulative distribution functions)).
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
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | u (from partialQuantile) | Random number in the range 0 <= u <= 1 | |
| Real | lambda | 1 | Scale parameter of the Weibull distribution |
| Real | k | Shape parameter of the Weibull distribution |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | y (from partialQuantile) | Random number u transformed according to the given distribution |
Revisions
| Date | Description | ||
|---|---|---|---|
| June 22, 2015 |
|
