English

Parsimonious Modeling of Periodic Time Series Using Fourier and Wavelet Techniques

Methodology 2025-05-12 v1

Abstract

This paper proposes Fourier-based and wavelet-based techniques for analyzing periodic financial time series. Conventional models such as the periodic autoregressive conditional heteroscedastic (PGARCH) and periodic autoregressive conditional duration (PACD) often involve many parameters. The methods put forward here resulted in more parsimonious models with increased forecast efficiency. The effectiveness of these approaches is demonstrated through simulation and data analysis studies.

Keywords

Cite

@article{arxiv.2505.05778,
  title  = {Parsimonious Modeling of Periodic Time Series Using Fourier and Wavelet Techniques},
  author = {Rhea Davis and N. Balakrishna},
  journal= {arXiv preprint arXiv:2505.05778},
  year   = {2025}
}