.AdvancedNoise.Distributions.Bates.density

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:

For more details, see Wikipedia.

Example

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

See also

Bates.cumulative, Bates.quantile.

Interface

function density
  import AdvancedNoise.Math.factorial;
  import AdvancedNoise.Math.binomial;
  extends Modelica.Math.Distributions.Interfaces.partialDensity;
  input Real y_min = 0 "Lower limit of band" annotation(
    Dialog);
  input Real y_max = 1 "Upper limit of band" annotation(
    Dialog);
  input Integer n = 12 "Number of uniform random values" annotation(
    Dialog);
end density;