functiondensity

Density of truncated Weibull distribution

Extends from Modelica.Math.Distributions.Interfaces.partialTruncatedDensity (Common interface of truncated probability density functions).

Information

Syntax

Weibull.density(u, u_min=0, u_max=1, lambda=1, k=1);

Description

This function computes the probability density 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. Plot of the function:

For more details
of the Weibull distribution, see Wikipedia,
of truncated distributions, see Wikipedia.

Example

density(0.5)             // = 0.9595173756674719
density(0.5,0,0.8,0.5,2) // = 1.5948036466479143

See also

TruncatedWeibull.cumulative, TruncatedWeibull.quantile.

Inputs

TypeNameDefaultDescription
Realu (from partialDensity)Random number over the real axis (-inf < u < inf)
Realu_min (from partialTruncatedDensity)0Lower limit of u
Realu_max (from partialTruncatedDensity)1Upper limit of u
Reallambda1Scale parameter of the Weibull distribution
RealkShape parameter of the Weibull distribution

Outputs

TypeNameDefaultDescription
Realy (from partialDensity)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