1. ## Cramer Rao problem

i found:

$E(\widetilde{\theta})=\theta+\frac{1}{n} \ \ \ \ \ var(\widetilde{\theta})=\frac{1}{n^{2}}$

so i guess we need n goes to infinity to make theta an unbiased estimator.

what about the last two questions

2. What is this $\widetilde{\theta}$?

The MLE of $\theta$ is the smallest order statistic.

3. ## rep

$\widetilde{\theta}$ is MLE of theta

4. and what is the MLE here?

It's the smallest order stat.

5. ## wt

wat is that? i never heard of it

6. If this problem was assigned, then your teacher should have covered order stats. This is just the minimum of the data in this case.

Order statistic - Wikipedia, the free encyclopedia

7. ## yea

yeah. i know the MLE. but wat about the last two questions?

8. nevermind

9. ## know

i know it. but i dont know it is called that.