Optimal Tests for Distinguishing PAR Models from PSETAR Models

  • Nesrine Bezziche LaPS Laboratory, Badji Mokhtar-Annaba University, 12, P.O.Box, 23000 Annaba, Algeria
  • Mouna Merzougui LaPS Laboratory, Badji Mokhtar-Annaba University, 12, P.O.Box, 23000 Annaba, Algeria
DOI: https://doi.org/10.19139/soic-2310-5070-2240
Keywords: Periodic Self-Exciting Threshold Autoregressive, Local Asymptotic Normality, Local Asymptotic optimal test, Kernel estimation.

Abstract

This paper aims to detect nonlinearity in periodic autoregressive models. We introduce parametric and semiparametric local asymptotic optimal tests designed for distinguishing a periodic autoregressive model from a periodic self-exciting threshold autoregressive (SETAR) model. Leveraging the Local Asymptotic Normality (LAN) property specific to periodic SETAR models, we devise a parametric test that is locally asymptotically most stringent. Additionally, the utilization of kernel estimation for the density function allows the construction of an adaptive test for enhanced flexibility and accuracy in detecting nonlinearity.
Published
2025-02-06
How to Cite
Bezziche, N., & Merzougui, M. (2025). Optimal Tests for Distinguishing PAR Models from PSETAR Models. Statistics, Optimization & Information Computing, 13(5), 1868-1879. https://doi.org/10.19139/soic-2310-5070-2240
Issue
Vol 13 No 5 (2025)
Section
Research Articles
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