a) Find a method of moments estimator for ?θ. (b) Is the method of moments estimator unbiased? Justify your answer. (c) Find the maximum likelihood estimator of ?θ. Let X1, X2, ..., X, be a random...

a) Find a method of moments estimator for ?θ.

(b) Is the method of moments estimator unbiased? Justify your answer.

(c) Find the maximum likelihood estimator of ?θ.

Extracted text: Let X1, X2, ..., X, be a random sample from a distribution with probability density function f(x; 0) = x > 0, 0> 0. The mean and variance are as follows. E(X) = and 4-. V(X) = 2