WOLFRAM SYSTEM MODELER

density

Density of normal distribution

Wolfram Language

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

Information

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

Syntax

Normal.density(u, mu=0, sigma=1);

Description

This function computes the probability density function according to a normal distribution with mean value mu and standard deviation sigma (variance = sigma2). Plot of the function:

For more details, see Wikipedia.

Example

density(0.5)     // = 0.3520653267642995
density(3,1,0.5) // = 0.00026766045152977074

See also

Normal.cumulative, Normal.quantile.

Syntax

y = density(u, mu, sigma)

Inputs (3)

u

Type: Real

Description: Random number over the real axis (-inf < u < inf)
mu

Default Value: 0

Type: Real

Description: Expectation (mean) value of the normal distribution
sigma

Default Value: 1

Type: Real

Description: Standard deviation of the normal 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