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Bayesian empirical likelihood inference and order shrinkage for a hysteretic autoregressive model

Author

Listed:
  • Wenshan Wang

    (Changchun University of technology)

  • Xinyuan Song

    (Changchun University of technology)

  • Guichen Han

    (Changchun University of technology)

  • Kai Yang

    (Changchun University of technology)

Abstract

In this article, we consider Bayesian empirical likelihood (BEL) inference for a class of hysteretic autoregressive models. The primary focus of this study is to develop a BEL method that integrates Bayesian inference and the empirical likelihood method for estimating the hysteretic autoregressive (HAR) model. Additionally, the order determination problem of the HAR model is discussed under the prior assumption of spike-and-slab. We conduct simulation studies to illustrate the advantages of the proposed BEL method and apply it to analyzing the U.S. Industrial Production Index data set.

Suggested Citation

  • Wenshan Wang & Xinyuan Song & Guichen Han & Kai Yang, 2025. "Bayesian empirical likelihood inference and order shrinkage for a hysteretic autoregressive model," Statistical Papers, Springer, vol. 66(2), pages 1-26, February.
    • Handle: RePEc:spr:stpapr:v:66:y:2025:i:2:d:10.1007_s00362-025-01659-0
    DOI: 10.1007/s00362-025-01659-0
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    References listed on IDEAS

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