functionquantile
Quantile of uniform distribution
Extends from Modelica.Math.Distributions.Interfaces.partialQuantile (Common interface of quantile functions (= inverse cumulative distribution functions)).
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
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | u (from partialQuantile) | Random number in the range 0 <= u <= 1 | |
| Real | y_min | 0 | Lower limit of y |
| Real | y_max | 1 | Upper limit of y |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | y (from partialQuantile) | Random number u transformed according to the given distribution |
Revisions
| Date | Description | ||
|---|---|---|---|
| June 22, 2015 |
|