functionGeometric
Geometric
Extends from Var (prototype for variate generation functions).
Information
Geometric
Geometric probability distribution function.
Syntax
Geometric(g,b)
Description
Generates a random variate following the Geometric probability distribution with probabitity b.
The pseudo-code algorithm used for this distribution is:
1. Set i = 0.
2. Generate u as U(0,1).
3. If u &le b, return i. Otherwise i=i+1 and go back to 2.
Examples
(u,g) := Geometric(g,0.5);
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 |