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Suppose Y1, . . . , Yn ind∼ Gamma(2, β). (a) Write down the likelihood function...

Suppose Y1, . . . , Yn ind∼ Gamma(2, β).

(a) Write down the likelihood function for β based on Y1, . . . , Yn.

(b) Write down the log-likelihood function for β based on Y1, . . . , Yn.

(c) Find an expression for the MLE of β.

(d) Give the MoMs estimator of β.

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