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Spatial quantile estimation of multivariate threshold time series models

Author

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  • Jiang, Jiancheng
  • Jiang, Xuejun
  • Li, Jingzhi
  • Liu, Yi
  • Yan, Wanfeng

Abstract

In this paper we study spatial quantile regression estimation of multivariate threshold time series models. Bahadur’s representations for our estimators are established, which naturally lead to asymptotic normality of the estimators. Simulations and a real example are used to evaluate the performance of the proposed estimators.

Suggested Citation

  • Jiang, Jiancheng & Jiang, Xuejun & Li, Jingzhi & Liu, Yi & Yan, Wanfeng, 2017. "Spatial quantile estimation of multivariate threshold time series models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 772-781.
    • Handle: RePEc:eee:phsmap:v:486:y:2017:i:c:p:772-781
    DOI: 10.1016/j.physa.2017.05.062
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    References listed on IDEAS

    as
    1. Pan, Jiazhu & Yao, Qiwei, 2008. "Modelling multiple time series via common factors," LSE Research Online Documents on Economics 22876, London School of Economics and Political Science, LSE Library.
    2. Liang Peng, 2003. "Least absolute deviations estimation for ARCH and GARCH models," Biometrika, Biometrika Trust, vol. 90(4), pages 967-975, December.
    3. Jiang, Xuejun & Li, Jingzhi & Xia, Tian & Yan, Wanfeng, 2016. "Robust and efficient estimation with weighted composite quantile regression," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 413-423.
    4. Jiang, Jiancheng & Zhao, Quanshui & Hui, Yer Van, 2001. "Robust Modelling of ARCH Models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 20(2), pages 111-133, March.
    5. Bollerslev, Tim, 1990. "Modelling the Coherence in Short-run Nominal Exchange Rates: A Multivariate Generalized ARCH Model," The Review of Economics and Statistics, MIT Press, vol. 72(3), pages 498-505, August.
    6. Peng, Liang & Yao, Qiwei, 2003. "Least absolute deviations estimation for ARCH and GARCH models," LSE Research Online Documents on Economics 5828, London School of Economics and Political Science, LSE Library.
    7. Jiazhu Pan & Qiwei Yao, 2008. "Modelling multiple time series via common factors," Biometrika, Biometrika Trust, vol. 95(2), pages 365-379.
    8. Jiancheng Jiang & Xuejun Jiang & Xinyuan Song, 2014. "Weighted composite quantile regression estimation of DTARCH models," Econometrics Journal, Royal Economic Society, vol. 17(1), pages 1-23, February.
    9. Yer Van Hui & Jiancheng Jiang, 2005. "Robust modelling of DTARCH models," Econometrics Journal, Royal Economic Society, vol. 8(2), pages 143-158, July.
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    Cited by:

    1. Sun Kai & Wu Jin, 2022. "Semiconductor chip’s quality analysis based on its high dimensional test data," Annals of Operations Research, Springer, vol. 311(1), pages 183-194, April.

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