6. Let X1; : : : ;Xn be i.i.d. samples from Uniform(0;theta ). (a) Find cn...

6. Let X1; : : : ;Xn be i.i.d. samples from Uniform(0;theta ).
(a) Find cn such that Theta1 = cn min(X1; : : : ;Xn) is an unbiased estimator of theta
(b) It is easy to show that theta2 = 2(X-bar) is also an unbiased estimator of theta(you do not need to
show this). Compare theta1 and theta2. Which is a better estimator of theta? Specify your criteria.

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orchestra answered 1 year ago

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