Let f(x) = x1, 0 < < and 0 < x < 1.Show that = - n/(In xi) is the maximum likelihood for . Show

Let f(x) = θxθ–1, 0 < θ < ∞ and 0 < x < 1.Show that Θ = - n/(In xi) is the maximum likelihood for θ. Show that Θ = -(1/n) Σ= 1 in(Xi) is the maximum likelihood estimator for θ and that is an unbiased estimator for θ.