Package Modelica.​Math.​Distributions.​Uniform
Library of uniform distribution functions

Information

This package provides

• probability density function (= derivative of cumulative distribution function),
• cumulative distribution function, and
• quantile (= inverse cumulative distribution function).

of the uniform distribution. Examples:

For more details of this distribution see Wikipedia.

Extends from Modelica.​Icons.​Package (Icon for standard packages).

Package Contents

Function Modelica.​Math.​Distributions.​Uniform.​density
Density of uniform distribution

Information

Syntax

Uniform.density(u, u_min=0, u_max=1);

Description

This function computes the probability density function according to a uniform distribution in a band. Plot of the function:

For more details, see Wikipedia.

Example

  density(0.5)    // = 1
  density(0,-1,1) // = 0.5

See also

Uniform.cumulative, Uniform.quantile.

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

Inputs

Outputs

Function Modelica.​Math.​Distributions.​Uniform.​cumulative
Cumulative distribution function of uniform distribution

Information

Syntax

Uniform.cumulative(u, u_min=0, u_max=1);

Description

This function computes the cumulative distribution function according to a uniform distribution in a band. The returned value y is in the range:

0 ≤ y ≤ 1

Plot of the function:

For more details, see Wikipedia.

Example

  cumulative(0.5)    // = 0.5
  cumulative(0,-1,1) // = 0.5

See also

Uniform.density, Uniform.quantile.

Extends from Modelica.​Math.​Distributions.​Interfaces.​partialCumulative (Common interface of cumulative distribution functions).

Inputs

Outputs

Function Modelica.​Math.​Distributions.​Uniform.​quantile
Quantile of uniform distribution

Information

Syntax

Uniform.quantile(u, y_min=0, y_max=1);

Description

This function computes the inverse cumulative distribution function (= quantile) according to a uniform distribution in a band. Input argument u must be in the range:

0 ≤ u ≤ 1

The returned number y is in the range:

y_min ≤ y ≤ y_max

Plot of the function:

For more details, see Wikipedia.

Example

  quantile(0.5)      // = 0.5
  quantile(0.5,-1,1) // = 0

See also

Uniform.density, Uniform.cumulative.

Extends from Modelica.​Math.​Distributions.​Interfaces.​partialQuantile (Common interface of quantile functions (= inverse cumulative distribution functions)).

Inputs

Outputs