Hi guys,

May I obtain some feedback on my attempts on this question:

The question is as follows:

http://img199.imageshack.us/img199/1504/83863226.png

1) The first part required me to find an estimate for theta using MLE where I first defined the log likelihood function as:

http://img828.imageshack.us/img828/6908/31056477.png

I then differentiated this with respect to theta and equated it to 0 to solve for an estimator of theta where I obtain:

2) The second part requires that I estimate the variance of the MLE I have just derived so I took the following approach:

I worked on the RHS using variance properties to obtain

The question originally gave so substituting this in gives:

Finally I substitute the estimate for theta I derived in part 1) to obtain an answer of:

Thank you in advance for any feedback given

Lin