English

A quantile-copula approach to conditional density estimation

Methodology 2008-06-13 v3 Statistics Theory Statistics Theory

Abstract

We present a new non-parametric estimator of the conditional density of the kernel type. It is based on an efficient transformation of the data by quantile transform. By use of the copula representation, it turns out to have a remarkable product form. We study its asymptotic properties and compare its bias and variance to competitors based on nonparametric regression.

Keywords

Cite

@article{arxiv.0709.3192,
  title  = {A quantile-copula approach to conditional density estimation},
  author = {Olivier P. Faugeras},
  journal= {arXiv preprint arXiv:0709.3192},
  year   = {2008}
}

Comments

with short simulations

R2 v1 2026-06-21T09:19:26.641Z