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Asymptotic Theory for Regressions with Smoothly Changing Parameters

Author

Listed:
  • Hillebrand Eric

    (CREATES, Aarhus University, Aarhus, Denmark)

  • Medeiros Marcelo C.

    (Department of Economics, Pontifical Catholic University of Rio De Janeiro, Rio de Janeiro, RJ, Brazil)

  • Xu Junyue

    (MFE Program, Haas School of Business, University of California Berkeley, Berkeley, CA, USA)

Abstract

We derive asymptotic properties of the quasi-maximum likelihood estimator of smooth transition regressions when time is the transition variable. The consistency of the estimator and its asymptotic distribution are examined. It is shown that the estimator converges at the usual -rate and has an asymptotically normal distribution. Finite sample properties of the estimator are explored in simulations. We illustrate with an application to US inflation and output data.

Suggested Citation

  • Hillebrand Eric & Medeiros Marcelo C. & Xu Junyue, 2013. "Asymptotic Theory for Regressions with Smoothly Changing Parameters," Journal of Time Series Econometrics, De Gruyter, vol. 5(2), pages 133-162, April.
    • Handle: RePEc:bpj:jtsmet:v:5:y:2013:i:2:p:133-162:n:3
    DOI: 10.1515/jtse-2012-0024
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    Cited by:

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    2. Silvennoinen, Annastiina & Teräsvirta, Timo, 2024. "Consistency and asymptotic normality of maximum likelihood estimators of a multiplicative time-varying smooth transition correlation GARCH model," Econometrics and Statistics, Elsevier, vol. 32(C), pages 57-72.
    3. Line Elvstrøm Ekner & Emil Nejstgaard, 2013. "Parameter Identification in the Logistic STAR Model," Discussion Papers 13-07, University of Copenhagen. Department of Economics.
    4. Holt, Matthew T. & Teräsvirta, Timo, 2020. "Global hemispheric temperatures and co-shifting: A vector shifting-mean autoregressive analysis," Journal of Econometrics, Elsevier, vol. 214(1), pages 198-215.
    5. Gilles Dufrénot & Anwar Khayat, 2014. "Monetary Policy Switching in the Euro Area and Multiple Equilibria: An Empirical Investigation," Working Papers halshs-00973504, HAL.
    6. Jorge M. Uribe, 2018. "“Scaling Down Downside Risk with Inter-Quantile Semivariances”," IREA Working Papers 201826, University of Barcelona, Research Institute of Applied Economics, revised Oct 2018.
    7. A. Stan Hurn & Annastiina Silvennoinen & Timo Teräsvirta, 2016. "A Smooth Transition Logit Model of The Effects of Deregulation in the Electricity Market," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(4), pages 707-733, June.
    8. Janak Raj & Joice John, 2020. "Steering interest rates amidst large structural surplus liquidity: a tale of three central banks," Indian Economic Review, Springer, vol. 55(1), pages 93-116, June.
    9. Janak Raj & Joice John, 0. "Steering interest rates amidst large structural surplus liquidity: a tale of three central banks," Indian Economic Review, Springer, vol. 0, pages 1-24.
    10. Cho, Dooyeon, 2018. "On the persistence of the forward premium in the joint presence of nonlinearity, asymmetry, and structural changes," Economic Modelling, Elsevier, vol. 70(C), pages 310-319.
    11. Dimitris Christopoulos & Peter McAdam & Elias Tzavalis, 2023. "Exploring Okun's law asymmetry: An endogenous threshold logistic smooth transition regression approach," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 85(1), pages 123-158, February.

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    More about this item

    Keywords

    regime switching; smooth transition regression; asymptotic theory;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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