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.

Master the Casualty Actuarial Society MAS-1 Exam with flashcards and multiple choice questions, hints, and explanations. Get prepared for your exam!

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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