We consider the problem of estimating the mean of a random vector based on i.i.d. observations and adversarial contamination. We introduce a multivariate extension of the trimmed-mean estimator and show its optimal performance under minimal conditions.

中文翻译：

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稳健的多元均值估计：修正均值的最优性

我们考虑基于iid观察和对抗污染来估计随机向量的均值的问题。我们引入了均值估计量的多元扩展，并显示了在最小条件下的最佳性能。