English

Estimating the error distribution function in nonparametric regression

Statistics Theory 2018-10-26 v2 Statistics Theory

Abstract

We construct an efficient estimator for the error distribution function of the nonparametric regression model Y = r(Z) + e. Our estimator is a kernel smoothed empirical distribution function based on residuals from an under-smoothed local quadratic smoother for the regression function.

Keywords

Cite

@article{arxiv.1810.01645,
  title  = {Estimating the error distribution function in nonparametric regression},
  author = {Ursula U. Müller and Anton Schick and Wolfgang Wefelmeyer},
  journal= {arXiv preprint arXiv:1810.01645},
  year   = {2018}
}

Comments

Unpublished manuscript (2004), 20 pages