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Estimation and inference of threshold regression models with measurement errors

Author

Listed:
  • Chong Terence Tai-Leung

    (Lau Chor Tak Institute of Global Economics and Finance and Department of Economics, The Chinese University of Hong Kong, Hong Kong, China)

  • Chen Haiqiang

    (Wang Yanan Institute for Studies in Economics, Xiamen University , Xiamen, Fujian, China)

  • Wong Tsz-Nga

    (Federal Reserve Bank of Richmond, Research Department, Richmond, VA, USA)

  • Yan Isabel Kit-Ming

    (Department of Economics and Finance, City University of Hong Kong, Hong Kong, China)

Abstract

An important assumption underlying standard threshold regression models and their variants in the extant literature is that the threshold variable is perfectly measured. Such an assumption is crucial for consistent estimation of model parameters. This paper provides the first theoretical framework for the estimation and inference of threshold regression models with measurement errors. A new estimation method that reduces the bias of the coefficient estimates and a Hausman-type test to detect the presence of measurement errors are proposed. Monte Carlo evidence is provided and an empirical application is given.

Suggested Citation

  • Chong Terence Tai-Leung & Chen Haiqiang & Wong Tsz-Nga & Yan Isabel Kit-Ming, 2018. "Estimation and inference of threshold regression models with measurement errors," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 22(2), pages 1-16, April.
    • Handle: RePEc:bpj:sndecm:v:22:y:2018:i:2:p:16:n:1
    DOI: 10.1515/snde-2014-0032
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    References listed on IDEAS

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    1. Chong, Terence Tai-Leung, 2001. "Structural Change In Ar(1) Models," Econometric Theory, Cambridge University Press, vol. 17(1), pages 87-155, February.
    2. Astatkie, T. & Watts, D. G. & Watt, W. E., 1997. "Nested threshold autoregressive (NeTAR) models," International Journal of Forecasting, Elsevier, vol. 13(1), pages 105-116, March.
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    4. Jushan Bai & Haiqiang Chen & Terence Tai-Leung Chong & Seraph Xin Wang, 2008. "Generic consistency of the break-point estimators under specification errors in a multiple-break model," Econometrics Journal, Royal Economic Society, vol. 11(2), pages 287-307, July.
    5. Jerry Hausman, 2001. "Mismeasured Variables in Econometric Analysis: Problems from the Right and Problems from the Left," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 57-67, Fall.
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    9. Haiqiang Chen & Terence Chong & Jushan Bai, 2012. "Theory and Applications of TAR Model with Two Threshold Variables," Econometric Reviews, Taylor & Francis Journals, vol. 31(2), pages 142-170.
    10. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
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    Cited by:

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    2. Ebrahimi Salari, Taghi & Naji Meidani, Ali Akbar & Shabani Koshalshahi, Zeinab & Ajori Ayask, Amir Abbas, 2022. "The threshold effect of HDI on the relationship between financial development and oil revenues," Resources Policy, Elsevier, vol. 76(C).
    3. Lixiong Yang & Chingnun Lee & I‐Po Chen, 2021. "Threshold model with a time‐varying threshold based on Fourier approximation," Journal of Time Series Analysis, Wiley Blackwell, vol. 42(4), pages 406-430, July.

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    More about this item

    Keywords

    Hausman-type test; measurement error; threshold model;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • 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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