density

Density of normal distribution

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