Let X1, . . . , Xn be independent Poisson(θ) random variables with parameter θ >...

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Let X1, . . . , Xn be independent Poisson(θ) random variables with parameter θ >...

Let X1, . . . , Xn be independent Poisson(θ) random variables with parameter θ > 0. (1) Find the Bayes estimator of θ for a Gamma(α, β) prior. (2) Find the MSE of the Bayes estimator.

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