NTS: An R Package for Nonlinear Time Series Analysis

Linear time series models are commonly used in analyzing dependent data and in forecasting. On the other hand, real phenomena often exhibit nonlinear behavior and the observed data show nonlinear dynamics. This paper introduces the R package NTS that offers various computational tools and nonlinear models for analyzing nonlinear dependent data. The package fills the gaps of several outstanding R packages for nonlinear time series analysis. Specifically, the NTS package covers the implementation of threshold autoregressive (TAR) models, autoregressive conditional mean models with exogenous variables (ACMx), functional autoregressive models, and state-space models. Users can also evaluate and compare the performance of different models and select the best one for prediction. Furthermore, the package implements flexible and comprehensive sequential Monte Carlo methods (also known as particle filters) for modeling non-Gaussian or nonlinear processes. Several examples are used to demonstrate the capabilities of the NTS package.

Xialu Liu (Department of Management Information Systems) , Rong Chen (Department of Statistics) , Ruey Tsay (Booth School of Business)
2021-01-15

Supplementary materials

Supplementary materials are available in addition to this article. It can be downloaded at RJ-2021-016.zip

Reuse

Text and figures are licensed under Creative Commons Attribution CC BY 4.0. The figures that have been reused from other sources don't fall under this license and can be recognized by a note in their caption: "Figure from ...".

Citation

For attribution, please cite this work as

Liu, et al., "NTS: An R Package for Nonlinear Time Series Analysis", The R Journal, 2021

BibTeX citation

@article{RJ-2021-016,
  author = {Liu, Xialu and Chen, Rong and Tsay, Ruey},
  title = {NTS: An R Package for Nonlinear Time Series Analysis},
  journal = {The R Journal},
  year = {2021},
  note = {https://doi.org/10.32614/RJ-2021-016},
  doi = {10.32614/RJ-2021-016},
  volume = {12},
  issue = {2},
  issn = {2073-4859},
  pages = {293-310}
}