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Suppose that X is Poisson, with unknown mean λ, and let X1, ..., Xn be a...

Suppose that X is Poisson, with unknown mean λ, and let X1, ..., Xn be a random sample from X.

a. Find the CRLB for the variance of estimators based on X1, ..., Xn. ̂̅̂

b. Verify that ? = X is an unbiased estimator for λ, and then show that ? is an efficient estimator for λ.

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