i found: $\displaystyle 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
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What is this $\displaystyle \widetilde{\theta}$? The MLE of $\displaystyle \theta$ is the smallest order statistic.
$\displaystyle \widetilde{\theta} $ is MLE of theta
and what is the MLE here? It's the smallest order stat.
wat is that? i never heard of it
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
yeah. i know the MLE. but wat about the last two questions?
nevermind
Last edited by matheagle; Nov 6th 2009 at 11:36 AM.
i know it. but i dont know it is called that.
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