functionquantile
Quantile of Bates distribution
Extends from Modelica.Math.Distributions.Interfaces.partialQuantile (Common interface of quantile functions (= inverse cumulative distribution functions)).
Information
Syntax
Bates.quantile(u, y_min=0, y_max=1, n=12);
Description
This function computes the inverse cumulative distribution function (= quantile) according to a Bates distribution (= mean of n uniform distributions). Input argument u must be in the range:
0 ≤ u ≤ 1
The returned number y is in the range:
ymin ≤ y ≤ ymax
Plot of the function:
For more details, see Wikipedia.
Example
quantile(0.5,-3,3,12) // = -7.450831063238184E-010
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 band |
| Real | y_max | 1 | Upper limit of band |
| Integer | n | 12 | Number of uniform random values |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | y (from partialQuantile) | Random number u transformed according to the given distribution |