Consider a random sample X1, ... , Xn from the pdf f (x; ) = .5(1 +

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Consider a random sample X1, ... , Xn from the pdf
f (x; θ) = .5(1 + θx) - 1 ≤ x ≤ 1
where - 1 ≤ u ≤ 1 (this distribution arises in particle physics). Show that θ^ = 3is an unbiased estimator of θ.
Distribution
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