English

On Locally Dyadic Stationary Processes

Statistics Theory 2016-11-08 v3 Statistics Theory

Abstract

We introduce the concept of local dyadic stationarity, to account for non-stationary time series, within the framework of Walsh-Fourier analysis. We define and study the time varying dyadic ARMA models (tvDARMA). It is proven that the general tvDARMA process can be approximated locally by either a tvDMA and a tvDAR process.

Keywords

Cite

@article{arxiv.1504.06185,
  title  = {On Locally Dyadic Stationary Processes},
  author = {Theodoros Moysiadis and Konstantinos Fokianos},
  journal= {arXiv preprint arXiv:1504.06185},
  year   = {2016}
}

Comments

27 pages, 2 figures

R2 v1 2026-06-22T09:21:20.178Z