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Statistical inference for ARTFIMA time series with stable innovations

Applications 2021-03-16 v1

Abstract

Autoregressive tempered fractionally integrated moving average with stable innovations modifies the power-law kernel of the fractionally integrated time series model by adding an exponential tempering factor. The tempered time series is a stationary model that can exhibits semi-long-range dependence. This paper develops the basic theory of the tempered time series model, including dependence structure and parameter estimation.

Keywords

Cite

@article{arxiv.2103.07717,
  title  = {Statistical inference for ARTFIMA time series with stable innovations},
  author = {Jinu Kabala and Farzad Sabzikar},
  journal= {arXiv preprint arXiv:2103.07717},
  year   = {2021}
}
R2 v1 2026-06-24T00:06:25.854Z