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Given X 1 , . . . , X n iid random sample of a population with probability distribution bin.neg (r, ) where parameter r

Given X1, . . . , Xn iid random sample of a population with probability distribution bin.neg (r, ) where parameter r is known. Use this function:

(a) Find the bias of the maximum likelihood estimator of

(b) Find the bias of the method of moments estimator of

(c) Given that n 2, find a best unbiased estimator of

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