Math 2.0

Statistics Point estimation Concept

Minimum-variance unbiased estimator

Summary

A minimum-variance unbiased estimator is an unbiased estimator with the smallest variance among all unbiased estimators. It must be smallest at every value of the parameter. It is also called a uniformly minimum-variance unbiased estimator (UMVUE). It need not exist, but when it does it is unique with probability one. The Rao–Blackwell and Lehmann–Scheffé theorems construct it from a complete sufficient statistic.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Minimum-variance_unbiased_estimator
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