• Corpus ID: 7304721

The Robustness and Super-Robustness of L^p Estimation, when p < 1

@article{Gao2012TheRA,
  title={The Robustness and Super-Robustness of L^p Estimation, when p < 1},
  author={Qinghua Gao},
  journal={ArXiv},
  year={2012},
  volume={abs/1206.5057}
}
In robust statistics, the breakdown point of an estimator is the percentage of outliers with which an estimator still generates reliable estimation. The upper bound of breakdown point is 50%, which means it is not possible to generate reliable estimation with more than half outliers. In this paper, it is shown that for majority of experiences, when the outliers exceed 50%, but if they are distributed randomly enough, it is still possible to generate a reliable estimation from minority good… 

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References

Robust Statistics—The Approach Based on Influence Functions