Modelica.Math.Distributions.Interfaces

Library of interfaces for distribution functions

Information

This package contains partial functions that describe the common interface arguments of the distribution and truncated distribution functions.

Extends from Modelica.Icons.InterfacesPackage (Icon for packages containing interfaces).

Package Content

Name	Description
$Modelica.Math.Distributions.Interfaces.partialDensity$ partialDensity	Common interface of probability density functions
$Modelica.Math.Distributions.Interfaces.partialCumulative$ partialCumulative	Common interface of cumulative distribution functions
$Modelica.Math.Distributions.Interfaces.partialQuantile$ partialQuantile	Common interface of quantile functions (= inverse cumulative distribution functions)
$Modelica.Math.Distributions.Interfaces.partialTruncatedDensity$ partialTruncatedDensity	Common interface of truncated probability density functions
$Modelica.Math.Distributions.Interfaces.partialTruncatedCumulative$ partialTruncatedCumulative	Common interface of truncated cumulative distribution functions
$Modelica.Math.Distributions.Interfaces.partialTruncatedQuantile$ partialTruncatedQuantile	Common interface of truncated quantile functions (= inverse cumulative distribution functions)

$Modelica.Math.Distributions.Interfaces.partialDensity$ Modelica.Math.Distributions.Interfaces.partialDensity

Common interface of probability density functions

Information

A partial function containing the common arguments of the probability density functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Name	Description
u	Random number over the real axis (-inf < u < inf)

Outputs

Name	Description
y	Density of u

$Modelica.Math.Distributions.Interfaces.partialCumulative$ Modelica.Math.Distributions.Interfaces.partialCumulative

Common interface of cumulative distribution functions

Information

A partial function containing the common arguments of the cumulative distribution functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Name	Description
u	Value over the real axis (-inf < u < inf)

Outputs

Name	Description
y	Value in the range 0 <= y <= 1

$Modelica.Math.Distributions.Interfaces.partialQuantile$ Modelica.Math.Distributions.Interfaces.partialQuantile

Common interface of quantile functions (= inverse cumulative distribution functions)

Information

A partial function containing the common arguments of the quantile functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Name	Description
u	Random number in the range 0 <= u <= 1

Outputs

Name	Description
y	Random number u transformed according to the given distribution

$Modelica.Math.Distributions.Interfaces.partialTruncatedDensity$ Modelica.Math.Distributions.Interfaces.partialTruncatedDensity

Common interface of truncated probability density functions

Information

A partial function containing the common arguments of the probability density functions of truncated distributions.

Extends from partialDensity (Common interface of probability density functions).

Inputs

Name	Description
u	Random number over the real axis (-inf < u < inf)
u_min	Lower limit of u
u_max	Upper limit of u

Outputs

Name	Description
y	Density of u

$Modelica.Math.Distributions.Interfaces.partialTruncatedCumulative$ Modelica.Math.Distributions.Interfaces.partialTruncatedCumulative

Common interface of truncated cumulative distribution functions

Information

A partial function containing the common arguments of the cumulative distribution functions for a truncated distribution.

Extends from partialCumulative (Common interface of cumulative distribution functions).

Inputs

Name	Description
u	Value over the real axis (-inf < u < inf)
u_min	Lower limit of u
u_max	Upper limit of u

Outputs

Name	Description
y	Value in the range 0 <= y <= 1

$Modelica.Math.Distributions.Interfaces.partialTruncatedQuantile$ Modelica.Math.Distributions.Interfaces.partialTruncatedQuantile

Common interface of truncated quantile functions (= inverse cumulative distribution functions)

Information

A partial function containing the common arguments of the quantile functions for truncated distributions.

Extends from partialQuantile (Common interface of quantile functions (= inverse cumulative distribution functions)).

Inputs

Name	Description
u	Random number in the range 0 <= u <= 1
y_min	Lower limit of y
y_max	Upper limit of y

Outputs

Name	Description
y	Random number u transformed according to the given distribution

Automatically generated Thu Oct 1 16:08:16 2020.