If f_Y(y;theta) = (theta*k^theta)*(1/y)^(theta+1), y>=k, theta>=1,

a) Find the maximum likelihood estimator for theta if information has been collected on a random sample of 25 people.

b) Find the method of moments estimator for theta if information has been collected on a random sample of 25 people.

Assume k is unknown.

Any help would be appreciated.