.Modelica.Math.Distributions.Normal.density

Information

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.

Interface

function density
  extends Modelica.Math.Distributions.Interfaces.partialDensity;
  input Real mu = 0 "Expectation (mean) value of the normal distribution" annotation(
    Dialog);
  input Real sigma = 1 "Standard deviation of the normal distribution" annotation(
    Dialog);
end density;

Revisions

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