Let Xl, n be a random sample from a gamma distribution with parameters a = 2...

Let Xl, n be a random sample from a gamma distribution with parameters a = 2 and p = 20.

a) Find an estimator , using the method of maximum likelihood

b) Is the estimator obtained in part a) is unbiased and consistent estimator for the parameter 0?

c) Using the factorization theorem, show that the estimator found in part a) is a sufficient estimator of 0.

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