English

Wavelet Based Time Series Models with Time-Varying Thresholds

Methodology 2026-05-19 v1

Abstract

This paper develops a threshold model with a time-varying threshold, represented using a wavelet series expansion. The model adequately captures irregular and abrupt variations, as well as smooth changes in the threshold parameter, allowing greater flexibility than Fourier-based approaches. Simulation experiments and real-data applications are used to evaluate the model's performance.

Keywords

Cite

@article{arxiv.2605.17864,
  title  = {Wavelet Based Time Series Models with Time-Varying Thresholds},
  author = {Rhea Davis and N. Balakrishna},
  journal= {arXiv preprint arXiv:2605.17864},
  year   = {2026}
}