functioncumulative
Cumulative distribution function of Weibull distribution
Extends from Modelica.Math.Distributions.Interfaces.partialCumulative (Common interface of cumulative distribution functions).
Information
Syntax
Weibull.cumulative(u, lambda=1, k=1);
Description
This function computes the cumulative distribution function according to a Weibull distribution with scale parameter lambda and shape parameter k. Equation:
y := if u >= 0 then 1 - exp(-(u/lambda)^k) else 0.0;
The returned value y is in the range:
0 ≤ y ≤ 1
Plot of the function:
For more details, see Wikipedia.
Example
cumulative(0.5) // = 0.3934693402873666 cumulative(0.5,0.5,1) // = 0.6321205588285577
See also
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | u (from partialCumulative) | Value over the real axis (-inf < u < inf) | |
| 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 partialCumulative) | Value in the range 0 <= y <= 1 |
Revisions
| Date | Description | ||
|---|---|---|---|
| June 22, 2015 |
|
