functiondensity
Density of Weibull distribution
Extends from Modelica.Math.Distributions.Interfaces.partialDensity (Common interface of probability density functions).
Information
Syntax
Weibull.density(u, lambda=1, k=1);
Description
This function computes the probability density function according to a Weibull distribution with scale parameter lambda and shape parameter k. Equation:
y = if u >= 0 then (k/lambda)*(u/lambda)^(k - 1)*exp(-(u/lambda)^k) else 0.0;
Plot of the function:
For more details, see Wikipedia.
Example
density(0.5) // = 0.36787944117144233 density(1,0.5,2) // = 0.14652511110987343
See also
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | u (from partialDensity) | Random number 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 partialDensity) | Density of u |
Revisions
| Date | Description | ||
|---|---|---|---|
| June 22, 2015 |
|
