Let x1 x2xn be a random sample from Uniform 0theta where the

Let x_1, x_2,...x_n be a random sample from Uniform (0,theta), where theta > 0. Show that ((n+1)/n)x_(n) and 2x_n are both unbiased estimators of theta. Here, x_(n) = max{x_1,...x_n} and x_n = (1/n) sum from i=1 to n (x_i).    

Solution