Nonparametric mean estimation using partially ordered sets

@article{Frey2012NonparametricME,
  title={Nonparametric mean estimation using partially ordered sets},
  author={Jesse Frey},
  journal={Environmental and Ecological Statistics},
  year={2012},
  volume={19},
  pages={309-326}
}
In ranked-set sampling (RSS), the ranker must give a complete ranking of the units in each set. In this paper, we consider a modification of RSS that allows the ranker to declare ties. Our sampling method is simply to break the ties at random so that we obtain a standard ranked-set sample, but also to record the tie structure for use in estimation. We propose several different nonparametric mean estimators that incorporate the tie information, and we show that the best of these estimators is… CONTINUE READING
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