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Let X1,…, Xn be a sample of iid Gamma(?, ?) random variables with ? known and...

Let X1,…, Xn be a sample of iid Gamma(?, ?) random variables with ? known and Θ=(0, ∞). Determine
a) the MLE ? of ?.
b) E(? ̂).
c) Var(? ̂).
e) whether or not ? is a UMVUE of ?.

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