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3. Let X1, ..., Xn be a random sample from the density f(x; 0) = 0x-2 for 0 0. (a) Find a one-dimensional sufficient statistic

3. Let X1, ..., Xn be a random sample from the density f(x; 0) = 0x-2 for 0 0. (a) Find a one-dimensional sufficient statistic for 0. (b) Find the MLE of 0. Find the bias of the MLE, and show that the MLE is a consistent estimator

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