Asymptotically Unbiased Estimator

Topics: Statistics - Estimator

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(definition)

A sample statistic ${\hat{\theta }}_n$ based on a sample of size $n$ is an asymptotically unbiased estimator for the parameter $\theta$ if:

$$\underset{n\to \infty }{\lim }\mathbb{E}[{\hat{\theta }}_n]=\theta$$