Q5Section I (Objective (Q1–Q80))5 of 80

Statistical Inference — defining condition for a UMVUE

Let $S$ be the set of all unbiased estimators $T$ of $\theta \in \Theta$ such that $\mathbb{E}_\theta T^2 < \infty$ for all $\theta \in \Theta$ . An estimator $T_0 \in S$ is called a uniformly minimum variance unbiased estimator (UMVUE) of $\theta$ for $T \in S$ if:

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