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2. Let Y1, Y2, . . . , Yn be a random sample from a Normal distribution with parameters and 2 . you found the
2. Let Y1, Y2, . . . , Yn be a random sample from a Normal distribution with parameters and 2 .
you found the MLE of is = Y .
(a) Show that is an unbiased estimator for .
(b) Find the variance and MSE of . Why are these two values the same for this estimator?
(c) Find the Cramer-Rao Lower Bound for .
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