Let
Then the joint pdf=
=
by factorization theorem,
Can I conclude that is a sufficient statistic?
I assume 0<x<1 and that this is a beta distribution with
I don't think I've seen this question in regards to the beta, but this seems true.
that matches up with 9 from http://www.ds.unifi.it/VL/VL_EN/point/point6.html