1. ## Umvue

find the UMVUE (Uniform Minimum Variance of Unbaised Estimation) of the iid random variables of uniform distribution
$U(\theta-1,\theta+1)$ where $-\infty <\theta<\infty$

2. I hope those are infinities and not 0's
Put a 7 behind those and you can be a secret agent.
Use the factorization theorem to obtain the suff stats.

3. Originally Posted by matheagle
I hope those are infinities and not 0's
Put a 7 behind those and you can be a secret agent.
Use the factorization theorem to obtain the suff stats.
it is not 0 ,it is "infinities"
the parameter belongs to R(real number)
so can u help me?

4. Originally Posted by chialin4
it is not 0 ,it is "infinities"
the parameter belongs to R(real number)
so can u help me?

as I said...........Use the factorization theorem to obtain the suff stats.
and infinity is \infty

5. Originally Posted by matheagle
as I said...........Use the factorization theorem to obtain the suff stats.
and infinity is \infty
$X_{(1)}$ and $X_{(n)}$ is suff for $\theta$
so what's the UMVUE?