Let f x = (1 / )x (1- )/ , 0 < x < 1, and <

Let f x = (1 / θ)x ^{(1- θ)/θ} , 0 < x < 1, and < θ < ∞ show that Θ = −(1 / n)Σⁿ_i=1 ln(X ) is the maximum likelihood estimator for θ and that Θ is an unbiased estimator for q.