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6. Let X1, X2, -- - be a random sample of independent, identically distributed variables with Xi- ~ Berm), where 9 E (0,1). Suppose we are interested in parametric estimators of Var(X,:) : 9(6) 2 9(1 9). Let in be the sample mean of the random sample. (c) Find an unbiased estimator of 9(9) 2 6(1 6) (d) Find a consistent estimator for 9(6) : 9(1 9) (e) Suppose I9 75 %, Find the asymptotic distribution of an(1 If\") 3(1 3)] . (Hint: Use the delta theorem)