(6) Let x1, -- ,X1o N(u, o2), where µ e R and o > 0 are unknown parameters. Consider the following four estimators of µ. d1 = X 10. d2 = 2X1 – X2. d3 = X1+ X2 da = X1+X2+X3 Comparing only these four estimators, point out all the inadmissible estimators. The following answers" have been proposed. (a) d1, d2, dz are all inadmissible estimators. (b) d1, d2, d4 are all inadmissible estimators. (C) d1, d3, d4 are all inadmissible estimators. (d) Only d3, d4 are inadmissible estimators. (e) None of the above. Joe's argument is, in fact, totally valid. The correct answer is (a) (b) (c) (d) (e) N/A

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(6) Let x1, -.. ,X10 d N(µ, o2), where u e R and o > o are unknown parameters. Consider the following four estimators of µ.
di = X 10. d2 = 2X1 – X2,
X1+X2
d3 =
X1+X2+X3
d4 =
2
3
Comparing only these four estimators, point out all the inadmissible estimators.
The following `answers" have been proposed.
(a) d1, d2, dz are all inadmissible estimators.
(b) d1, d2, d4 are all inadmissible estimators.
(c) d1, d3, d4 are all inadmissible estimators.
(d) Only d3, d4 are inadmissible estimators.
(e) None of the above. Joe's argument is, in fact, totally valid.
The correct answer is
(а)
(b)
(c)
(d)
(e)
N/A
(Select One)
Transcribed Image Text:iid (6) Let x1, -.. ,X10 d N(µ, o2), where u e R and o > o are unknown parameters. Consider the following four estimators of µ. di = X 10. d2 = 2X1 – X2, X1+X2 d3 = X1+X2+X3 d4 = 2 3 Comparing only these four estimators, point out all the inadmissible estimators. The following `answers" have been proposed. (a) d1, d2, dz are all inadmissible estimators. (b) d1, d2, d4 are all inadmissible estimators. (c) d1, d3, d4 are all inadmissible estimators. (d) Only d3, d4 are inadmissible estimators. (e) None of the above. Joe's argument is, in fact, totally valid. The correct answer is (а) (b) (c) (d) (e) N/A (Select One)
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