functioncumulative
Cumulative distribution function of truncated Weibull distribution
Extends from Modelica.Math.Distributions.Interfaces.partialTruncatedCumulative (Common interface of truncated cumulative distribution functions).
Information
Syntax
Weibull.cumulative(u, u_min=0, u_max=1, lambda=1, k=1);
Description
This function computes the cumulative distribution function 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. The returned value y is in the range:
0 ≤ y ≤ 1
Plot of the function:
For more details
of the Weibull distribution, see
Wikipedia,
of truncated distributions, see
Wikipedia.
Example
cumulative(0.5) // = 0.6224593312018546 cumulative(0.5,0,0.8,0.5,2) // = 0.6850805314988328
See also
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | u (from partialCumulative) | Value over the real axis (-inf < u < inf) | |
| Real | u_min (from partialTruncatedCumulative) | 0 | Lower limit of u |
| Real | u_max (from partialTruncatedCumulative) | 1 | Upper limit of u |
| 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 |
|
