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

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

Weibull.cumulative, Weibull.quantile.

y = density(u, lambda, k)

u	Type: Real Description: Random number over the real axis (-inf < u < inf)
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: Density of u