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Distributionshard
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Let X1,X2,…,XnX_1, X_2, \dots, X_nX1​,X2​,…,Xn​ be i.i.d. observations from a Uniform(θ,θ+1)\text{Uniform}(\theta, \theta+1)Uniform(θ,θ+1) distribution. Which of the following is a consistent estimator for θ\thetaθ?