Maximum likelihood estimator: Let {Xi}ni=1 be n i.i.d. random variables with density fθ with respect to the Lebesgue measure. For each case below, find the MLE of θ. • fθ(x)  = θτxτ−1exp(−θxτ)I(x ≥ 0), θ > 0, where τ > 0 is a known constant

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Maximum likelihood estimator: Let {Xi}ni=1 be n i.i.d. random variables with density fθ with respect to the Lebesgue measure. For each case below, find the MLE of θ.
• fθ(x)  = θτxτ−1exp(−θxτ)I(x ≥ 0), θ > 0, where τ > 0 is a known constant

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