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Q37Section I (Objective (Q1–Q80))37 of 80

Statistical Inference — MLE of the exponential mean

Consider the following for the next two (02) items: Let the probability density function fθ(x)=1θe−xθf_\theta(x) = \frac{1}{\theta}e^{-\frac{x}{\theta}}, 0<x<∞0 < x < \infty. What is the maximum likelihood estimator of θ\theta?

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