Question: How to solve this problem? 4. Let X1, ..., Xn be a random sample from N(u, 1). Define Ti = (X,) and T2 = {n(n

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4. Let X1, ..., Xn be a random sample from N(u, 1). Define Ti = (X,) and T2 = {n(n -1)}-Exitin XiX; as two estimators of , where Xn = n-1 )_ Xi. (a) Show that both Ti and T2 are consistent for u2. (b) Find the asymptotic distributions of T1. (c) (Optional) Find the asymptotic distributions of T2

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