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Median bias of M-estimators

Statistics Theory 2021-06-02 v1 Statistics Theory

Abstract

In this note, we derive bounds on the median bias of univariate M-estimators under mild regularity conditions. These requirements are not sufficient to imply convergence in distribution of the M-estimators. We also discuss median bias of some multivariate M-estimators.

Keywords

Cite

@article{arxiv.2106.00164,
  title  = {Median bias of M-estimators},
  author = {Arun Kumar Kuchibhotla},
  journal= {arXiv preprint arXiv:2106.00164},
  year   = {2021}
}