English

Local linear quantile estimation for nonstationary time series

Statistics Theory 2009-08-26 v1 Statistics Theory

Abstract

We consider estimation of quantile curves for a general class of nonstationary processes. Consistency and central limit results are obtained for local linear quantile estimates under a mild short-range dependence condition. Our results are applied to environmental data sets. In particular, our results can be used to address the problem of whether climate variability has changed, an important problem raised by IPCC (Intergovernmental Panel on Climate Change) in 2001.

Keywords

Cite

@article{arxiv.0908.3576,
  title  = {Local linear quantile estimation for nonstationary time series},
  author = {Zhou Zhou and Wei Biao Wu},
  journal= {arXiv preprint arXiv:0908.3576},
  year   = {2009}
}

Comments

Published in at http://dx.doi.org/10.1214/08-AOS636 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)

R2 v1 2026-06-21T13:38:40.514Z