Here's the setup:
I need to find
a) MLE of \theta
b) Unbiased Estimator of \theta
c) Compare a) and b)
for X ~ Unif(\theta - 1, \theta + 1)
Work:
a) MLE
My first idea was to consider Y = |X|. Then the MLE would be max(Y)
But then I found this post:
http://www.mathhelpforum.com/math-he...estimator.html
So now I'm leaning towards using [x_(1) + x_(n)] /2.
b) Unbiased.
No ideas here...