Hi guys,

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

The question is as follows:

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

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