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Problem 3 25 pts] $1, . . ., $ are iid samples from Gam(12, 1). We want to estimate A. The likelihood function is n

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Problem 3 25 pts] $1, . . ., $ are iid samples from Gam(12, 1). We want to estimate A. The likelihood function is n L( X ) = r(12) It is difficult to compute the MLE of analytically. However, we could easily obtain a moment estimator of . Let's use h(@) = > to construct a moment estimator of 1. (a). Find the moment estimator. (b). Compute the Bias and MSE of the moment estimator in (a)

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