# MLE

#### BenInUtah

##### New Member
In an earlier thread, I asked for help finding the UMVUE for e^-(t-theta). Now, I am looking to find the maximum likelihood estimator for the same density function (where theta <= t < infinity).

I got as far as getting L(theta) = e^-(sum from 1 to n t)*e^n*theta. From here, it feels like I should take the log of this and then take the derivative and then solve for 0 but I am not sure if I am doing it right. Any help?

Thanks.