f(x) = B(α,β)-1 xα-1(1-x)β-1 on the interval (0,1).
Here B(α,β) represents the beta function,
G(α)G(β)/G(α+β),
where G(x) is the gamma function.
The Be(1,1) distribution is the uniform distribution, U(0,1).
The distribution of the kth order statistic of a sample
of size n from the U(0,1) distribution is Be(k,n+1-k).