English

Empirical regression quantile process with possible application to risk analysis

Statistics Theory 2017-10-19 v1 Statistics Theory

Abstract

The processes of the averaged regression quantiles and of their modifications provide useful tools in the regression models when the covariates are not fully under our control. As an application we mention the probabilistic risk assessment in the situation when the return depends on some exogenous variables. The processes enable to evaluate the expected α\alpha-shortfall (0α10\leq\alpha\leq 1) and other measures of the risk, recently generally accepted in the financial literature, but also help to measure the risk in environment analysis and elsewhere.

Keywords

Cite

@article{arxiv.1710.06638,
  title  = {Empirical regression quantile process with possible application to risk analysis},
  author = {Jana Jurečková and Martin Schindler and Jan Picek},
  journal= {arXiv preprint arXiv:1710.06638},
  year   = {2017}
}
R2 v1 2026-06-22T22:17:51.733Z