If Y is a complete sufficient statistic for theta and g(Y) is an unbiased estimator of theta, then g(Y) is the MVUE and has the smallest possible variance among all unbiased estimators.

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Multiple Choice

If Y is a complete sufficient statistic for theta and g(Y) is an unbiased estimator of theta, then g(Y) is the MVUE and has the smallest possible variance among all unbiased estimators.

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