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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. random variables with density f(x)=e−(x−θ)f(x) = e^{-(x-\theta)}f(x)=e−(x−θ) for x≥θx \geq \thetax≥θ. Which of the following is the Maximum Likelihood Estimator (MLE) for θ\thetaθ?