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Using OLS to Estimate and Test for Structural Changes in Models with Endogenous Regressors


  • Pierre Perron

    () (Department of Economics, Boston University)

  • Yohei Yamamoto

    () (University of Alberta School of Business)


We consider the problem of estimating and testing for multiple breaks in a single equation framework with regressors that are endogenous, i.e., correlated with the errors. We show that even in the presence of endogenous regressors, it is still preferable to simply estimate the break dates and test for structural change using the usual ordinary least-squares (OLS) framework. In most cases, it delivers estimates of the break dates with higher precision and tests with higher power compared to those obtained using an IV method. Also, the OLS method avoids potential weak identification problems caused by weak instruments. To illustrate the relevance of our theoretical results, we consider the stability of the New Keynesian hybrid Phillips curve. IV-based methods only provide weak evidence of instability. On the other hand, OLS-based ones strongly indicate a change in 1991:1 and that after this date the model looses all explanatory power.

Suggested Citation

  • Pierre Perron & Yohei Yamamoto, 2011. "Using OLS to Estimate and Test for Structural Changes in Models with Endogenous Regressors," Boston University - Department of Economics - Working Papers Series WP2011-053, Boston University - Department of Economics.
  • Handle: RePEc:bos:wpaper:wp2011-053

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    References listed on IDEAS

    1. Kejriwal, Mohitosh & Perron, Pierre, 2010. "Testing for Multiple Structural Changes in Cointegrated Regression Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(4), pages 503-522.
    2. Hall, Alastair R. & Han, Sanggohn & Boldea, Otilia, 2008. "Asymptotic Distribution Theory for Break Point Estimators in Models Estimated via 2SLS," MPRA Paper 9472, University Library of Munich, Germany.
    3. Hall, Alastair R. & Han, Sanggohn & Boldea, Otilia, 2008. "Inference regarding multiple structural changes in linear models estimated via two stage least squares," MPRA Paper 9251, University Library of Munich, Germany, revised 20 Jun 2008.
    4. Perron, Pierre & Qu, Zhongjun, 2006. "Estimating restricted structural change models," Journal of Econometrics, Elsevier, vol. 134(2), pages 373-399, October.
    5. Pierre Perron & Yohei Yamamoto, 2008. "Estimating and Testing Multiple Structural Changes in Models with Endogenous Regressors," Boston University - Department of Economics - Working Papers Series wp2008-017, Boston University - Department of Economics.
    6. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
    7. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    8. Kejriwal, Mohitosh & Perron, Pierre, 2008. "The limit distribution of the estimates in cointegrated regression models with multiple structural changes," Journal of Econometrics, Elsevier, vol. 146(1), pages 59-73, September.
    9. Tatevik Sekhposyan & Barbara Rossi, 2008. "Has modelsí forecasting performance for US output growth and inflation changed over time, and when?," Working Papers 09-02, Duke University, Department of Economics.
    10. Kurmann, Andre, 2007. "VAR-based estimation of Euler equations with an application to New Keynesian pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 31(3), pages 767-796, March.
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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. Pierre Perron & Tatsushi Oka, 2011. "Testing for Common Breaks in a Multiple Equations System," Boston University - Department of Economics - Working Papers Series WP2011-057, Boston University - Department of Economics.
    3. Rasmus Fatum & Yohei Yamamoto, 2012. "Does foreign exchange intervention volume matter?," Globalization and Monetary Policy Institute Working Paper 115, Federal Reserve Bank of Dallas.
    4. Pulapre Balakrishnan & Mausumi Das & M. Parameswaran, 2015. "The Mechanism of Long-Term Growth in India," Working Papers id:6414, eSocialSciences.
    5. Ping Yu & Peter C.B. Phillips, 2014. "Threshold Regression with Endogeneity," Cowles Foundation Discussion Papers 1966, Cowles Foundation for Research in Economics, Yale University.
    6. Yohei Yamamoto & Pierre Perron, 2013. "Estimating and testing multiple structural changes in linear models using band spectral regressions," Econometrics Journal, Royal Economic Society, vol. 16(3), pages 400-429, October.
    7. Duo Qin & Sophie van H¸llen & Qing-Chao Wang, 2014. "What Happens to Wage Elasticities When We Strip Playometrics? Revisiting Married Women Labour Supply Model," Working Papers 190, Department of Economics, SOAS, University of London, UK.
    8. KUROZUMI, Eiji, 2016. "Monitoring Parameter Constancy with Endogenous Regressors," Discussion Papers 2016-01, Graduate School of Economics, Hitotsubashi University.
    9. Ye Li & Pierre Perron, 2017. "Inference on locally ordered breaks in multiple regressions," Econometric Reviews, Taylor & Francis Journals, vol. 36(1-3), pages 289-353, March.
    10. Michael D. Bordo & Pierre L. Siklos, 2017. "Central Banks: Evolution and Innovation in Historical Perspective," NBER Working Papers 23847, National Bureau of Economic Research, Inc.
    11. repec:bla:jtsera:v:38:y:2017:i:5:p:791-805 is not listed on IDEAS
    12. Pulapre Balakrishnan & Mausumi Das & M Parameswaran, 2014. "The Internal Dynamic Of Indian Economic Growth," Working papers 239, Centre for Development Economics, Delhi School of Economics.
    13. Duo Qin & Sophie van Huellen & Qing-Chao Wang, 2015. "How Credible Are Shrinking Wage Elasticities of Married Women Labour Supply?," Econometrics, MDPI, Open Access Journal, vol. 4(1), pages 1-31, December.


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