For an example of what to do, read this: http://www.mathhelpforum.com/math-he...estimator.html
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.
For an example of what to do, read this: http://www.mathhelpforum.com/math-he...estimator.html
For question a), I attached what I am getting so far. Am I on the right track here? I'm not sure where to go now.
Edit merge: Actually I already spotted an error, it should be 25lnk in the derivative..oops.