Minimum variance unbiased estimators (MVUE) are statistical estimators that are unbiased and have the lowest possible variance among all unbiased estimators of a parameter. This means that they provide the most accurate estimates of a population parameter while ensuring that the expected value of the estimator equals the true parameter value. The concept of sufficiency plays a crucial role in identifying MVUEs, as sufficient statistics capture all necessary information from the data for estimating parameters, leading to more efficient estimators.
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