Judge if exist a minimum variance unbiased estimator (MVUE) for the parameters o

Question

Judge if exist a minimum variance unbiased estimator (MVUE) for the parameters of the following cases: Be X_1,..., X_n a random sample of the bernoulli distribuition with the parameter p unknown. Be X_1,..., X_n a random sample of the Poisson distribuition with the mean lambda unknown. Be X_1,..., X_n a random sample of the Exponential distribuition with the parameter lambda? unknown. Be X_1,..., X_n a random sample of the Normal distribuition with the mean mu? unknown and variance sigma 2 known.

Explanation / Answer

Exist a minimum variance unbiased estimator (MVUN) for the bernoulli distribution with parameter p unknowu.

Therefore, the correction option A

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