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Suppose thatX1,...Xn are IID with pdf f(x;θ) = 1 /2θ if -θ<x<θ otherwise =0 (a) Find...

Suppose thatX1,...Xn are IID with pdf

f(x;θ) = 1 /2θ if -θ<x<θ otherwise =0

(a) Find an unbiased estimator of θ. You must prove that your estimator is unbiased.

(b) Find the variance of the estimator in (a).

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