## RANDF Generate F-Distributed Random Variable

Section: Random Number Generation

### Usage

Generates random variables with an F-distribution. The general syntax for its use is
```   y = randf(n,m)
```

where `n` and `m` are vectors of the number of degrees of freedom in the numerator and denominator of the chi-square random variables whose ratio defines the statistic.

### Function Internals

The statistic `F_{n,m}` is defined as the ratio of two chi-square random variables:

The PDF is given by

where `B(a,b)` is the beta function.

### Example

Here we use `randf` to generate some F-distributed random variables, and then again using the `randchi` function:
```--> randf(5*ones(1,9),7)

ans =

Columns 1 to 8

1.1944    0.9069    0.7558    1.5029    0.0621    1.3860    1.8161    0.3755

Columns 9 to 9

3.5794

--> randchi(5*ones(1,9))./randchi(7*ones(1,9))

ans =

Columns 1 to 8

1.3085    1.2693    1.0684    0.4377    1.1158    0.7171    0.4151    1.8022

Columns 9 to 9

1.4606
```