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data i.i.d. from some member of a family of densities , where is the parameter space. An estimator of is unbiased if . Furthermore, an unbiased estimator is UMVUE if ,

for any other unbiased estimator

If an unbiased estimator of exists, then one can prove there is an essentially unique MVUE. Using the Rao-Blackwell theorem one can also prove that determining the MVUE is simply a matter of finding a complete

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