Uniformly Minimum Variance Unbiased Estimator

Definition

$\forall \theta \in \Omega ,(E(Y)=\theta )\wedge (\forall T,(E(T)=\theta )\Rightarrow \mathrm{Var}(Y)\le \mathrm{Var}(T))$ where $T$ is an unbiased estimator, and $\theta$ is the parameter.

An Unbiased Estimator that has lower variance than any other unbiased estimator for all possible values of the parameter $\forall \theta \in \Omega$

An MVUE for all possible values of the parameters