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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 PDF f(x;θ)=1θx(1−θ)/θf(x; \theta) = \frac{1}{\theta} x^{(1-\theta)/\theta}f(x;θ)=θ1​x(1−θ)/θ for 0<x<10 < x < 10<x<1 and θ>0\theta > 0θ>0. What is the Maximum Likelihood Estimator (MLE) for θ\thetaθ?