functiondensity

Density of Bates distribution

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

Information

Syntax

Bates.density(u, y_min=0, y_max=1, n=12);

Description

This function computes the probability density function according to a Bates distribution (= mean of n uniform distributions). Plot of the function:

Diagram density.png

For more details, see Wikipedia.

Example

density(0, -3, 3, 12) // = 4.7271067821068185

See also

Bates.cumulative, Bates.quantile.

Inputs

TypeNameDefaultDescription
Realu (from partialDensity)Random number over the real axis (-inf < u < inf)
Realy_min0Lower limit of band
Realy_max1Upper limit of band
Integern12Number of uniform random values

Outputs

TypeNameDefaultDescription
Realy (from partialDensity)Density of u