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Toward A Unified Interval Estimation Of Autoregressions


  • Chan, Ngai Hang
  • Li, Deyuan
  • Peng, Liang


An empirical likelihood–based confidence interval is proposed for interval estimations of the autoregressive coefficient of a first-order autoregressive model via weighted score equations. Although the proposed weighted estimate is less efficient than the usual least squares estimate, its asymptotic limit is always normal without assuming stationarity of the process. Unlike the bootstrap method or the least squares procedure, the proposed empirical likelihood–based confidence interval is applicable regardless of whether the underlying autoregressive process is stationary, unit root, near-integrated, or even explosive, thereby providing a unified approach for interval estimation of an AR(1) model to encompass all situations. Finite-sample simulation studies confirm the effectiveness of the proposed method.

Suggested Citation

  • Chan, Ngai Hang & Li, Deyuan & Peng, Liang, 2012. "Toward A Unified Interval Estimation Of Autoregressions," Econometric Theory, Cambridge University Press, vol. 28(03), pages 705-717, June.
  • Handle: RePEc:cup:etheor:v:28:y:2012:i:03:p:705-717_00

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    Cited by:

    1. Horváth, Lajos & Trapani, Lorenzo, 2016. "Statistical inference in a random coefficient panel model," Journal of Econometrics, Elsevier, vol. 193(1), pages 54-75.
    2. Yang, Yaxing & Ling, Shiqing, 2017. "Self-weighted LAD-based inference for heavy-tailed threshold autoregressive models," Journal of Econometrics, Elsevier, vol. 197(2), pages 368-381.

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