Question: Let X1, ...,Xn be a random sample selected from the Pareto distribution with density f(x; ) = 2x(+1) for x 2. Find: (i) The

Let X1, ...,Xn be a random sample selected from the Pareto distribution with density f(x; θ) = θ2θx−(θ+1) for x ≥ 2. Find: (i) The sufficient statistic for θ. (ii) An exact 95% CI for θ.

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