In: Statistics and Probability
Let ?1, ?2,…. . , ?? (n random variables iid) as a
variable whose pdf is continuous and uniform over the interval [? -
1; ? + 3].
(1) Determine the estimator of the moments method.
(2) Is this estimator unbiased? What is its variance?
(3) Find the maximum likelihood estimator (VME) for this
setting. Is it unique?