Distributionshard
0:00.0

Let X1,X2,,XnX_1, X_2, \dots, X_n be a sample from a distribution with PDF f(x;θ)=θxθ1f(x; \theta) = \theta x^{\theta - 1} for x(0,1)x \in (0, 1) and θ>0\theta > 0. Which of the following is the complete sufficient statistic for θ\theta?