Efficient Estimator

Topics: Statistics - Estimator

---

(definition)

Let ${\hat{\theta }}_1$ and ${\hat{\theta }}_2$ be unbiased estimators of parameter $\theta$.

If $\mathrm{Var}({\hat{\theta }}_1)\le \mathrm{Var}({\hat{\theta }}_2)$, we say that ${\hat{\theta }}_1$ is more efficient than ${\hat{\theta }}_2$. See variance.