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Question: Suppose that is an estimator of a derived from a sample of size T. We are given that
E(α^) = α + 2/T and var(α^) = 4α/T + α2/T2
(a) Examine whether as an estimator of α, α^ is (1) unbiased, (2) consistent, (3) asymptotically unbiased, and (4) asymptotically efficient.
(b) What is the asymptotic variance of α^?
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