: Pearson Type VI

Pearson Type VI

The density function of the Pearson Type VI distribution is

$\text{[math]}$

where $\text{[math]}$ and

$\text{[math]}$

The function $\text{[math]}$ is defined in the section Beta.

Parameters:

$\text{[math]}$	is a shape parameter, $\text{[math]}$ .
$\text{[math]}$	is a shape parameter, $\text{[math]}$ .
$\text{[math]}$	is a scale parameter, $\text{[math]}$ .

If $\text{[math]}$ and $\text{[math]}$ are independent random variables with $\text{[math]}$ and $\text{[math]}$ , then $\text{[math]}$ .