Let X 1 , X 2 , . . . , X n be a random sample

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Let X1, X2, . . . , Xn be a random sample of size n from the Poisson distribution, pX(k; λ) = e−λλk/k!, k = 0, 1, . . .. Show that ˆλ =  Xi is an efficient estimator for λ.

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