If I'm not confusing, you have no other choice than finding the pdf of X(1) and X(n), via the cdf (which is not too difficult to find).
I have a an iid sample of and have gotten the MLE to be
I am looking to find the MSE for each of the MLE's. I'm getting stuck on the variance since it's the order statistic and not just the variance of a uniform variable? I'd appreciate any input sending me in the right direction...