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Huber estimation for the network autoregressive model

Author

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  • Xiao, Xuan
  • Xu, Xingbai
  • Zhong, Wei

Abstract

We propose the Huber estimator for the network autoregressive model, which exhibits both robustness and efficiency under heavy-tailed errors and loses little efficiency compared to OLS under light-tailed errors.

Suggested Citation

  • Xiao, Xuan & Xu, Xingbai & Zhong, Wei, 2023. "Huber estimation for the network autoregressive model," Statistics & Probability Letters, Elsevier, vol. 203(C).
    • Handle: RePEc:eee:stapro:v:203:y:2023:i:c:s0167715223001414
    DOI: 10.1016/j.spl.2023.109917
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    References listed on IDEAS

    as
    1. Zhu, Xuening & Wang, Weining & Wang, Hansheng & Härdle, Wolfgang Karl, 2019. "Network quantile autoregression," Journal of Econometrics, Elsevier, vol. 212(1), pages 345-358.
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    3. Marco Avella-Medina & Heather S Battey & Jianqing Fan & Quefeng Li, 2018. "Robust estimation of high-dimensional covariance and precision matrices," Biometrika, Biometrika Trust, vol. 105(2), pages 271-284.
    4. Glasserman, Paul & Young, H. Peyton, 2015. "How likely is contagion in financial networks?," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 383-399.
    5. Jianqing Fan & Quefeng Li & Yuyan Wang, 2017. "Estimation of high dimensional mean regression in the absence of symmetry and light tail assumptions," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 79(1), pages 247-265, January.
    6. Qiang Sun & Wen-Xin Zhou & Jianqing Fan, 2020. "Adaptive Huber Regression," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 115(529), pages 254-265, January.
    7. Lung-fei Lee & Xiaodong Liu & Xu Lin, 2010. "Specification and estimation of social interaction models with network structures," Econometrics Journal, Royal Economic Society, vol. 13(2), pages 145-176, July.
    8. Shin, Dong Wan & Kang, Seungho, 2006. "An instrumental variable approach for panel unit root tests under cross-sectional dependence," Journal of Econometrics, Elsevier, vol. 134(1), pages 215-234, September.
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