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Honest Confidence Bands for Isotonic Quantile Curves

Statistics Theory 2022-07-06 v2 Methodology Statistics Theory

Abstract

We provide confidence bands for isotonic quantile curves in nonparametric univariate regression with guaranteed given coverage probability. The method is an adaptation of the confidence bands of Duembgen and Johns (2004) for isotonic median curves.

Keywords

Cite

@article{arxiv.2206.13069,
  title  = {Honest Confidence Bands for Isotonic Quantile Curves},
  author = {Lutz Duembgen and Lukas Luethi},
  journal= {arXiv preprint arXiv:2206.13069},
  year   = {2022}
}