A distribution with probability function
 |
where 
is a beta function. The mode
of a variate distributed as 
is
 |
If 
is a 
variate, then 
is a 
variate. If 
is a 
variate, then 
and 
are 
and 
variates. If 
and 
are 
and 
variates, then 
is a 
variate. If 
and 
are 
variates, then 
is a 
variate.
