English

Linear Process Bootstrap Unit Root Test

Methodology 2019-07-23 v1

Abstract

One of the most widely applied unit root test, Phillips-Perron test, enjoys in general highpowers, but suffers from size distortions when moving average noise exists. As a remedy, thispaper proposes a nonparametric bootstrap unit root test that specifically targets moving aver-age noise. Via a bootstrap functional central limit theorem, the consistency of this bootstrapapproach is established under general assumptions which allows a large family of non-linear timeseries. In simulation, this bootstrap test alleviates the size distortions of the Phillips-Perrontest while preserving its high powers.

Keywords

Cite

@article{arxiv.1610.06279,
  title  = {Linear Process Bootstrap Unit Root Test},
  author = {Nan Zou and Dimitris Politis},
  journal= {arXiv preprint arXiv:1610.06279},
  year   = {2019}
}
R2 v1 2026-06-22T16:26:10.204Z