functionTriangular
Triangular
Extends from Var (prototype for variate generation functions).
Information
Triangular
Triangular probability distribution function.
Syntax
Triangular(g,min,mode,max)
Description
Generates a random variate following the Triangular probability distribution function. The variate is generated in the interval [min,max] with the desired mode.
The pseudo-code algorithm used for this distribution is:
1. Generate u as U(0,1)
2. If u &le ((mode - min)/(max - min)), return x = min + sqrt(u*(max - min)*(mode - min)). Otherwise, x = max - sqrt((1-u)*(max - min)*(max - mode))
Examples
(u,g) := Triangular(g,1,3,6);
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Generator | g (from Var) | Random number generator | |
| Real | a (from Var) | 0 | First parameter of the prob. distribution |
| Real | b (from Var) | 0 | Second parameter of the prob. distribution |
| Real | c (from Var) | 0 | Third parameter of the prob. distribution (only for the Johnson and Triangular distributions) |
| Real | d (from Var) | 0 | Fourth parameter of the prob. distribution (only for the Johnson distribution) |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | x (from Var) | Generated random variate | |
| Generator | gout (from Var) | Updated random number generator |