13. Consider a random sample X1, . . . , Xn from the pdf f(x; ) ...

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13. Consider a random sample X1, . . . , Xn from the pdf f(x; )  .5(1 x) 1  x  1 where 1    1 (this distribution arises in particle physics). Show that ˆ  3X is an unbiased estimator of .

[Hint: First determine  E(X)  E(X).]

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