# Math Help - Umvue

1. ## Umvue

how to find the UMVUE estimator of $\theta$?
{ ${X_i}$i=1,2,3,...,n}, i.i.d from $U(\theta-1,\theta
+1)$

and the minimum sufficient statistics for $\theta$ is $X_(1),X_(n)$?

2. Hello,

We studied in class the estimators $\delta_\alpha=\alpha X_{(1)}+(1-\alpha)X_{(n)}$ and concluded that $\delta_{1/2}$ is the UMVUE among the $\delta_{\alpha}$.

But if I remember what the teacher said, it's a pain to find the UMVUE among all the unbiased estimators...

Hope this helps