WOLFRAM SYSTEM MODELER

density

Density of Weibull distribution

Wolfram Language

In[1]:=
SystemModel["Modelica.Math.Distributions.Weibull.density"]
Out[1]:=

Information

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.

Syntax

y = density(u, lambda, k)

Inputs (3)

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

Outputs (1)

y

Type: Real

Description: Density of u

Revisions

Date Description
June 22, 2015
DLR logo Initial version implemented by A. Klöckner, F. v.d. Linden, D. Zimmer, M. Otter.
DLR Institute of System Dynamics and Control