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Generic consistency of the break-point estimator under specification errors

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  • Terence Tai-Leung Chong

Abstract

This paper considers the asymptotic behavior of the break-point estimator when some or all of the variables in a structural-break model are misspecified. An obvious example is misspecifying a linear model as a log--log model. The results given here cover a large number of data transformations, including transformation of the independent variables, dependent variable and transformation of both variables at the same time. The true data generating process can be stationary or non-stationary. I establish a useful result that, under some relatively weak assumptions, the break point can always be consistently estimated regardless of how a structural-break model is misspecified. The asymptotic behavior of the SupWald test under model misspecification is studied. Simulations and empirical evidence are also provided. Copyright Royal Economic Society, 2003

Suggested Citation

  • Terence Tai-Leung Chong, 2003. "Generic consistency of the break-point estimator under specification errors," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 167-192, June.
    • Handle: RePEc:ect:emjrnl:v:6:y:2003:i:1:p:167-192
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    Citations

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    Cited by:

    1. Yu, Ping, 2015. "Consistency of the least squares estimator in threshold regression with endogeneity," Economics Letters, Elsevier, vol. 131(C), pages 41-46.
    2. Pang, Tianxiao & Tai-Leung Chong, Terence & Zhang, Danna & Liang, Yanling, 2018. "Structural Change In Nonstationary Ar(1) Models," Econometric Theory, Cambridge University Press, vol. 34(5), pages 985-1017, October.
    3. MeiChi Huang, 2017. "Vulnerabilities to housing bubbles: Evidence from linkages between housing prices and income fundamentals," International Finance, Wiley Blackwell, vol. 20(1), pages 64-91, March.
    4. Alaa Abi Morshed & Elena Andreou & Otilia Boldea, 2018. "Structural Break Tests Robust to Regression Misspecification," Econometrics, MDPI, vol. 6(2), pages 1-39, May.
    5. Koo, Bonsoo & Seo, Myung Hwan, 2015. "Structural-break models under mis-specification: Implications for forecasting," Journal of Econometrics, Elsevier, vol. 188(1), pages 166-181.
    6. repec:ebl:ecbull:v:3:y:2007:i:2:p:1-10 is not listed on IDEAS
    7. Terence Tai-Leung Chong & Guoxin Liu & Isabel Kit-Ming Yan, 2007. "Habit Formation: Deep and Uncertain," Economics Bulletin, AccessEcon, vol. 3(2), pages 1-10.
    8. 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.
    9. 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.
    10. Chong Terence T. L. & He Qing & Hinich Melvin J, 2008. "The Nonlinear Dynamics of Foreign Reserves and Currency Crises," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(4), pages 1-18, December.
    11. Huang, MeiChi, 2014. "Bubble-like housing boom–bust cycles: Evidence from the predictive power of households’ expectations," The Quarterly Review of Economics and Finance, Elsevier, vol. 54(1), pages 2-16.
    12. MeiChi Huang & LinYing Yeh, 2015. "Should the Fed take extra action for the recent housing bubble? Evidence from asymmetric transitory shocks," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 39(4), pages 762-781, October.
    13. Terence Tai-Leung Chong, 2007. "Estimating the Fractionally Integrated Model with a Break in the Differencing Parameter," Economics Bulletin, AccessEcon, vol. 3(67), pages 1-10.
    14. MeiChi Huang, 2020. "A threshold unobserved components model of housing bubbles: timings and effectiveness of monetary policies," Empirical Economics, Springer, vol. 59(2), pages 887-908, August.
    15. repec:ebl:ecbull:v:3:y:2007:i:36:p:1-19 is not listed on IDEAS
    16. Wan, Jer-Yuh & Kao, Chung-Wei, 2009. "Price discovery in Taiwan's foreign exchange market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 19(1), pages 77-93, February.
    17. Arturo Lamadrid-Contreras & N.R. Ramírez-Rondán, 2018. "Panel Models with Two Threshold Variables: The Case of Financial Constraints," Working Papers 128, Peruvian Economic Association.
    18. repec:ebl:ecbull:v:3:y:2007:i:67:p:1-10 is not listed on IDEAS

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