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Let X1, X2, . . . , Xn be iid random sample from the pdf f(x; ) = 1 /2 (1 + x) for |x|
Let X1, X2, . . . , Xn be iid random sample from the pdf f(x; ) = 1 /2 (1 + x) for |x| 1 and || 1. Now consider the following statements.
I. MoM = 3X-bar
II. MoM is a biased estimator of .
III. MSE(MoM) = 1 /n (3 2 ).
Which of the above statement(s) is/are correct?
(A) Only I.
(B) Only I, II, and III.
(C) Only II and III.
(D) Only I and III.
(E) None of the above.
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