Question: 3. Let Y(1) Y(2) < Y(3) be the order statistics of a random sample of size 3 from the uniform distribution having density function

3. Let Y(1) Y(2) < Y(3) be the order statistics of a random sample of size 3 from the uniform distribution having density function f(x) = 1/0 for 0 < x < 0, with 0 < 0 < and O elsewhere. Show that 4Y (1), 2Y(2), and Y(3) are all unbiased statistics for e. Which of the three estimators has the smallest variance?

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