IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v131y2015icp41-46.html
   My bibliography  Save this article

Consistency of the least squares estimator in threshold regression with endogeneity

Author

Listed:
  • Yu, Ping

Abstract

This paper shows that when the threshold variable is independent of other covariates, such as in the structural change model, the least squares estimator of the threshold point is consistent even if endogeneity is present.

Suggested Citation

  • Yu, Ping, 2015. "Consistency of the least squares estimator in threshold regression with endogeneity," Economics Letters, Elsevier, vol. 131(C), pages 41-46.
  • Handle: RePEc:eee:ecolet:v:131:y:2015:i:c:p:41-46
    DOI: 10.1016/j.econlet.2015.03.035
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176515001366
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econlet.2015.03.035?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Caner, Mehmet & Hansen, Bruce E., 2004. "Instrumental Variable Estimation Of A Threshold Model," Econometric Theory, Cambridge University Press, vol. 20(5), pages 813-843, October.
    2. 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.
    3. Pierre Perron & Yohei Yamamoto, 2015. "Using OLS to Estimate and Test for Structural Changes in Models with Endogenous Regressors," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(1), pages 119-144, January.
    4. Heckman, James J, 1978. "Dummy Endogenous Variables in a Simultaneous Equation System," Econometrica, Econometric Society, vol. 46(4), pages 931-959, July.
    5. Bai, Jushan, 1997. "Estimating Multiple Breaks One at a Time," Econometric Theory, Cambridge University Press, vol. 13(3), pages 315-352, June.
    6. Yu, Ping, 2013. "Inconsistency of 2SLS estimators in threshold regression with endogeneity," Economics Letters, Elsevier, vol. 120(3), pages 532-536.
    7. Gonzalo, Jesus & Pitarakis, Jean-Yves, 2002. "Estimation and model selection based inference in single and multiple threshold models," Journal of Econometrics, Elsevier, vol. 110(2), pages 319-352, October.
    8. Perron, Pierre & Qu, Zhongjun, 2006. "Estimating restricted structural change models," Journal of Econometrics, Elsevier, vol. 134(2), pages 373-399, October.
    9. 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.
    10. Yu, Ping & Phillips, Peter C.B., 2018. "Threshold regression with endogeneity," Journal of Econometrics, Elsevier, vol. 203(1), pages 50-68.
    11. Tai-leung Chong, Terence, 1995. "Partial parameter consistency in a misspecified structural change model," Economics Letters, Elsevier, vol. 49(4), pages 351-357, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Baharumshah, Ahmad Zubaidi & Slesman, Ly & Wohar, Mark E., 2016. "Inflation, inflation uncertainty, and economic growth in emerging and developing countries: Panel data evidence," Economic Systems, Elsevier, vol. 40(4), pages 638-657.
    2. Yu, Ping & Phillips, Peter C.B., 2018. "Threshold regression with endogeneity," Journal of Econometrics, Elsevier, vol. 203(1), pages 50-68.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yu, Ping & Phillips, Peter C.B., 2018. "Threshold regression with endogeneity," Journal of Econometrics, Elsevier, vol. 203(1), pages 50-68.
    2. 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.
    3. Hall, Alastair R. & Han, Sanggohn & Boldea, Otilia, 2012. "Inference regarding multiple structural changes in linear models with endogenous regressors," Journal of Econometrics, Elsevier, vol. 170(2), pages 281-302.
    4. 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.
    5. Kourtellos, Andros & Tan, Chih Ming & Zhang, Xiaobo, 2007. "Is the relationship between aid and economic growth nonlinear?," Journal of Macroeconomics, Elsevier, vol. 29(3), pages 515-540, September.
    6. Rothfelder, Mario & Boldea, Otilia, 2016. "Testing for a Threshold in Models with Endogenous Regressors," Other publications TiSEM 40ca581a-e228-49ae-911f-e, Tilburg University, School of Economics and Management.
    7. 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.
    8. Harb, Nermeen & Hall, Stephen G., 2019. "Does foreign aid play a role in the maintenance of economic growth? A non-linear analysis," The Quarterly Review of Economics and Finance, Elsevier, vol. 73(C), pages 192-204.
    9. Ping Yu & Shengjie Hong & Peter C. B. Phillips, 2022. "Panel Threshold Regression with Unobserved Individual-Specific Threshold Effects," Cowles Foundation Discussion Papers 2352, Cowles Foundation for Research in Economics, Yale University.
    10. 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.
    11. 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.
    12. TAYANAGI, Toshikazu & 田柳, 俊和 & KUROZUMI, Eiji & 黒住, 英司, 2023. "Change-point estimators with the weighted objective function when estimating breaks one at a time," Discussion Papers 2023-04, Graduate School of Economics, Hitotsubashi University.
    13. Jingjing Yang, 2017. "Consistency of Trend Break Point Estimator with Underspecified Break Number," Econometrics, MDPI, vol. 5(1), pages 1-19, January.
    14. Pierre Perron & Yohei Yamamoto & Jing Zhou, 2020. "Testing jointly for structural changes in the error variance and coefficients of a linear regression model," Quantitative Economics, Econometric Society, vol. 11(3), pages 1019-1057, July.
    15. Luis Garicano & Claire Lelarge & John Van Reenen, 2016. "Firm Size Distortions and the Productivity Distribution: Evidence from France," American Economic Review, American Economic Association, vol. 106(11), pages 3439-3479, November.
    16. Verme, Paolo & Schuettler, Kirsten, 2021. "The impact of forced displacement on host communities: A review of the empirical literature in economics," Journal of Development Economics, Elsevier, vol. 150(C).
    17. Baltagi, Badi H. & Feng, Qu & Kao, Chihwa, 2016. "Estimation of heterogeneous panels with structural breaks," Journal of Econometrics, Elsevier, vol. 191(1), pages 176-195.
    18. repec:cep:stiecm:/2014/577 is not listed on IDEAS
    19. 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.
    20. Djedje Hermann YOHOU & Michaël GOUJON & Bertrand LAPORTE & Samuel GUERINEAU, 2016. "Is Aid Unfriendly to Tax? African Evidence of Heterogeneous Direct and Indirect Effects," Working Papers 201608, CERDI.
    21. Oka, Tatsushi & Perron, Pierre, 2018. "Testing for common breaks in a multiple equations system," Journal of Econometrics, Elsevier, vol. 204(1), pages 66-85.

    More about this item

    Keywords

    Threshold regression; Endogeneity; Least squares estimation; Consistency;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:131:y:2015:i:c:p:41-46. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.