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Data-Driven Bandwidth Selection for Nonstationary Semiparametric Models

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  • Yiguo Sun
  • Qi Li

Abstract

This article extends the asymptotic results of the traditional least squares cross-validatory (CV) bandwidth selection method to semiparametric regression models with nonstationary data. Two main findings are that (a) the CV-selected bandwidth is stochastic even asymptotically and (b) the selected bandwidth based on the local constant method converges to 0 at a different speed than that based on the local linear method. Both findings are in sharp contrast to existing results when working with weakly dependent or independent data. Monte Carlo simulations confirm our theoretical results and show that the automatic data-driven method works well.

Suggested Citation

  • Yiguo Sun & Qi Li, 2011. "Data-Driven Bandwidth Selection for Nonstationary Semiparametric Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(4), pages 541-551, October.
    • Handle: RePEc:taf:jnlbes:v:29:y:2011:i:4:p:541-551
    DOI: 10.1198/jbes.2011.09159
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    Cited by:

    1. Gu, Jingping & Liang, Zhongwen, 2014. "Testing cointegration relationship in a semiparametric varying coefficient model," Journal of Econometrics, Elsevier, vol. 178(P1), pages 57-70.
    2. Zhongwen Liang & Zhongjian Lin & Cheng Hsiao, 2015. "Local Linear Estimation of a Nonparametric Cointegration Model," Econometric Reviews, Taylor & Francis Journals, vol. 34(6-10), pages 882-906, December.
    3. Tu, Yundong & Wang, Ying, 2022. "Spurious functional-coefficient regression models and robust inference with marginal integration," Journal of Econometrics, Elsevier, vol. 229(2), pages 396-421.
    4. Hongjun Li & Zhongjian Lin & Cheng Hsiao, 2015. "Testing purchasing power parity hypothesis: a semiparametric varying coefficient approach," Empirical Economics, Springer, vol. 48(1), pages 427-438, February.
    5. Suzanna-Maria Paleologou, 2016. "The long-run tendency of government expenditure: a semi-parametric modelling approach," Empirical Economics, Springer, vol. 50(3), pages 753-776, May.
    6. Chen, Xirong & Huang, Ta-Cheng & Li, Qi, 2017. "An alternative bandwidth selection method for estimating functional coefficient models," Economics Letters, Elsevier, vol. 156(C), pages 27-31.
    7. Kunpeng Li & Degui Li & Zhongwen Lian & Cheng Hsiao, 2013. "Semiparametric Profile Likelihood Estimation of Varying Coefficient Models with Nonstationary Regressors," Monash Econometrics and Business Statistics Working Papers 2/13, Monash University, Department of Econometrics and Business Statistics.
    8. Kunpeng Li & Degui Li & Zhongwen Liang & Cheng Hsiao, 2017. "Estimation of semi-varying coefficient models with nonstationary regressors," Econometric Reviews, Taylor & Francis Journals, vol. 36(1-3), pages 354-369, March.

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