Let x1,x2,...,xn be a random sample from f(x,theta)=theta/x^2, x>theta, theta>0 , find the following. Methods of moments for theta, maximum likelihood estimator for theta, expectation of the mle-estimator.

In finding the methods of moments , tried to find the expectation but could not come up with range maybe you could me with that , in finding the mle I first formed a joint function of the random variables but I am not sure if this distribution function is for the sample or for the population given that the x random variables are smaller letters.