Question: I want to solve question number 3 by using the definition If X, X2....,X, is a random sample from a gamma distribution with a =

I want to solve question number 3 by using the definition
I want to solve question number 3 by using the
If X, X2....,X, is a random sample from a gamma distribution with a = 2 and B = 2 e >0. Find the following: xa Gama (0) 1. The maximum likelihood estimator of . y ~ Gamm (2,0) 2. The Fisher information of e. 3. Show that the MLE of 8 is unbiased, sufficient, minimal sufficient, complete e and consistent estimator of e. 4. Compute the MSE of the MLE of e. E o B vora o 8(,0) = L (KM) = x e In 2(x,0) = info+ 10 (x) - 2x 2.-21(@) + is anbiased astiroctor of o . X = 20 2 12 Ix (0) - Var l aln Le - var(= val(x)

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