Let $X_1, X_2, \ldots, X_n$ be a random sample of discrete random variable with Uniform distribution on set of integers $\{-\theta, -\theta+1, ... ..- 1, 0, 1, \theta-1, \theta\}$ where $\theta$ is positive integer. Find estimator $\theta$ by the method of maximum-likelihood.
I read that $\theta$ should be the $n^\text{th}$ order statistic? So $\theta=X_{(n)}$? Why? Can someone explain me?
[self-study]
tag & read its wiki. Then tell us what you understand thus far, what you've tried & where you're stuck. We'll provide hints to help you get unstuck. $\endgroup$ – gung - Reinstate Monica♦ Jan 13 '16 at 18:07