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Estimation practice

practice · no clock1 / 2
Q1Part B+3 / −0.75

For n ≥ 2, let X1,…,XnX_{1}, \dots, X_{n} be a random sample with density f(x|θ)=\theta) = θxθ−1\theta{}x^{\theta-1} on 0<x<1,θ>00 < x < 1, \theta > 0 unknown. Which of the following is the UMVUE for 1/θ1/\theta?

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