Question: 4. Let X1, X2, ..., Xn be a random sample from f(x|A) = ], A > 0, 0 4. Let Xl,X2, , Xn be a

4. Let Xl,X2, , Xn be a random sample from f(xl) >
O, O < I. (a) (10 pts) Show that S E log(Xi)

4. Let X1, X2, ..., Xn be a random sample from f(x|A) = ], A > 0, 0

4. Let Xl,X2, , Xn be a random sample from f(xl) > O, O < I. (a) (10 pts) Show that S E log(Xi) is a minimal sufficient statistic for and identify the distribution of Q S/ X (b) (20 pts) Obtain the 100(1 minimum width CI for based on the pivotal quantity Q.

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