English

Cross validation for locally stationary processes

Statistics Theory 2017-05-30 v1 Statistics Theory

Abstract

We propose an adaptive bandwidth selector via cross validation for local M-estimators in locally stationary processes. We prove asymptotic optimality of the procedure under mild conditions on the underlying parameter curves. The results are applicable to a wide range of locally stationary processes such linear and nonlinear processes. A simulation study shows that the method works fairly well also in misspecified situations.

Keywords

Cite

@article{arxiv.1705.10046,
  title  = {Cross validation for locally stationary processes},
  author = {Stefan Richter and Rainer Dahlhaus},
  journal= {arXiv preprint arXiv:1705.10046},
  year   = {2017}
}

Comments

67 pages (28 main article, 39 appendix), 2 figures

R2 v1 2026-06-22T20:01:49.970Z