Question 3 (a) Show that for an arbitrary estimator , E (@–0) = where bias” (Ô) = (E (@– 6))? = var (0) + bias? (0) Ques

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Question 3 A Show That For An Arbitrary Estimator E 0 Where Bias O E 6 Var 0 Bias 0 Ques 1 (37.27 KiB) Viewed 70 times

Question 3 (a) Show that for an arbitrary estimator , E (@–0) = where bias” (Ô) = (E (@– 6))? = var (0) + bias? (0) Question 3 (b) Let y = f(x) + € where X is fixed and f is an arbitrary function. Let f be an estimator of f based on y, X. Let yo = f(x0) + €0 and assume that co 1 y; for every yj € y and Eco = 0. Finally, define ġo = f(xo). Show that E (40 - Ģo)= varf + bias? f + vare