IDEAS home Printed from https://ideas.repec.org/a/ris/actuec/v73y1997i1p457-505.html
   My bibliography  Save this article

L’estimation de modèles avec changements structurels multiples

Author

Listed:
  • Perron, Pierre

    (Centre de recherche et développement en économique (C.R.D.E.), Département de sciences économiques, Université de Montréal)

Abstract

This paper considers the problem of estimation in the linear regression model with multiple structural changes. We first survey the class of models analyzed by Bai and Perron (1996) and some of their asymptotic results. We then discuss in greater details a numerical algorithm, based on the principle of dynamic programming, that permits obtaining estimates of the break dates very efficiently even if there is a large number of changes. We also discuss issues related to the estimation of the number of breaks using information criteria. Simulation results are presented to illustrate the merits and drawbacks of such procedures. Finally, some empirical examples highlight the practical importance of our results. Cette étude considère le problème de l’estimation de modèles de régressions linéaires avec changements structurels multiples. Nous passons en revue la classe de modèles analysée par Bai et Perron (1996) et certains de leurs résultats asymptotiques. Nous discutons plus en détail un algorithme de calcul, basé sur les principes de la programmation dynamique, qui permet d’obtenir des estimations de façon très efficace même si le nombre de points de rupture est élevé. Ensuite, nous discutons du problème d’estimation de ce nombre de changements via certains critères d’information. Des résultats de simulations sont présentés pour illustrer les mérites et les défauts de ces procédures. Finalement, certains résultats empiriques mettent en évidence l’importance pratique de nos résultats.

Suggested Citation

  • Perron, Pierre, 1997. "L’estimation de modèles avec changements structurels multiples," L'Actualité Economique, Société Canadienne de Science Economique, vol. 73(1), pages 457-505, mars-juin.
    • Handle: RePEc:ris:actuec:v:73:y:1997:i:1:p:457-505
    as

    Download full text from publisher

    File URL: http://id.erudit.org/iderudit/602236ar
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Garcia, Rene & Perron, Pierre, 1996. "An Analysis of the Real Interest Rate under Regime Shifts," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 111-125, February.
    2. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    3. 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.
    4. Pierre Perron, 1994. "Trend, Unit Root and Structural Change in Macroeconomic Time Series," Palgrave Macmillan Books, in: B. Bhaskara Rao (ed.), Cointegration, chapter 4, pages 113-146, Palgrave Macmillan.
    5. Nunes, Luis C. & Newbold, Paul & Chung-Ming Kuan, 1996. "Spurious number of breaks," Economics Letters, Elsevier, vol. 50(2), pages 175-178, February.
    6. Yao, Yi-Ching, 1988. "Estimating the number of change-points via Schwarz' criterion," Statistics & Probability Letters, Elsevier, vol. 6(3), pages 181-189, February.
    7. 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.
    8. BARTEN, Anton P. & SALVAS-BRONSARD, Lise, 1970. "Two-stage least-squares estimation with shifts in the structural form," LIDAM Reprints CORE 76, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Sowell, Fallaw, 1996. "Optimal Tests for Parameter Instability in the Generalized Method of Moments Framework," Econometrica, Econometric Society, vol. 64(5), pages 1085-1107, September.
    10. Andrews, Donald W. K. & Lee, Inpyo & Ploberger, Werner, 1996. "Optimal changepoint tests for normal linear regression," Journal of Econometrics, Elsevier, vol. 70(1), pages 9-38, January.
    11. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    12. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    13. Barten, A P & Bronsard, Lise Salvas, 1970. "Two-Stage Least-Squares Estimation with Shifts in the Structural Form," Econometrica, Econometric Society, vol. 38(6), pages 938-941, November.
    14. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-856, July.
    15. Bai, J., 1994. "Estimation of Structural Change Based on Wald-Type Statistics," Working papers 94-06, Massachusetts Institute of Technology (MIT), Department of Economics.
    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. Alessandro Casini & Pierre Perron, 2018. "Structural Breaks in Time Series," Papers 1805.03807, arXiv.org.
    2. Pedro Bação, 2006. "The Performance of Structural Change Tests," Quality & Quantity: International Journal of Methodology, Springer, vol. 40(4), pages 611-628, August.
    3. Lise Pichette, 2000. "Les effets réels du cours des actions sur la consommation," Staff Working Papers 00-21, Bank of Canada.
    4. Jamel JOUINI & Mohamed BOUTAHAR, 2007. "Spuriousness of information criteria when selecting the number of breaks in stationary AR(p) process," Economics Bulletin, AccessEcon, vol. 3(38), pages 1-11.
    5. Erhard Reschenhofer & David Preinerstorfer & Lukas Steinberger, 2013. "Non-monotonic penalizing for the number of structural breaks," Computational Statistics, Springer, vol. 28(6), pages 2585-2598, December.
    6. Moustfa Ismael Khaleel & Ahmed Younis Jabbar & Maha Kalai & Rima Aloulou & Kamel Helali, 2024. "An Applied Study of the Symmetric and Asymmetric Impact of Oil Prices and International Financial Markets on Economic Growth in Iraq," International Journal of Energy Economics and Policy, Econjournals, vol. 14(4), pages 66-80, July.
    7. Jamel JOUINI & Mohamed BOUTAHAR, 2007. "wrong estimation of the true number of shifts in structural break models: Theoretical and numerical evidence," Economics Bulletin, AccessEcon, vol. 3(3), pages 1-10.
    8. Mohamed Boutahar & Mustapha Belkhouja, 2007. "Le Changement Structurel Dans Un Environnement Mémoire Longue," Working Papers halshs-00352610, HAL.

    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. Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
    2. Pierre Perron & Yohei Yamamoto, 2016. "On the Usefulness or Lack Thereof of Optimality Criteria for Structural Change Tests," Econometric Reviews, Taylor & Francis Journals, vol. 35(5), pages 782-844, May.
    3. Bajo-Rubio, Oscar & Diaz-Roldan, Carmen & Esteve, Vicente, 2007. "Change of regime and Phillips curve stability: The case of Spain, 1964-2002," Journal of Policy Modeling, Elsevier, vol. 29(3), pages 453-462.
    4. Travaglini, Guido, 2007. "The U.S. Dynamic Taylor Rule With Multiple Breaks, 1984-2001," MPRA Paper 3419, University Library of Munich, Germany, revised 15 Jun 2007.
    5. Vicente Esteve, 2004. "Política fiscal y productividad del trabajo en la economía española: un análisis de series temporales," Revista de Analisis Economico – Economic Analysis Review, Universidad Alberto Hurtado/School of Economics and Business, vol. 19(1), pages 3-29, June.
    6. Jouini, Jamel & Boutahar, Mohamed, 2005. "Evidence on structural changes in U.S. time series," Economic Modelling, Elsevier, vol. 22(3), pages 391-422, May.
    7. Hervé Le Bihan, 2004. "Tests de ruptures : une application au PIB tendanciel français," Économie et Prévision, Programme National Persée, vol. 163(2), pages 133-154.
    8. Alaa Abi Morshed & Elena Andreou & Otilia Boldea, 2018. "Structural Break Tests Robust to Regression Misspecification," Econometrics, MDPI, vol. 6(2), pages 1-39, May.
    9. Kurozumi Eiji, 2015. "Testing for Multiple Structural Changes with Non-Homogeneous Regressors," Journal of Time Series Econometrics, De Gruyter, vol. 7(1), pages 1-35, January.
    10. Elliott, Graham & Muller, Ulrich K., 2007. "Confidence sets for the date of a single break in linear time series regressions," Journal of Econometrics, Elsevier, vol. 141(2), pages 1196-1218, December.
    11. Paye, Bradley S. & Timmermann, Allan, 2006. "Instability of return prediction models," Journal of Empirical Finance, Elsevier, vol. 13(3), pages 274-315, June.
    12. Maria Heracleous & Andreas Koutris & Aris Spanos, 2006. "Testing for Structural Breaks and other forms of Non-stationarity: a Misspecification Perspective," Computing in Economics and Finance 2006 493, Society for Computational Economics.
    13. Elliott, Graham & Mueller, Ulrich K., 2004. "Optimally Testing General Breaking Processes in Linear Time Series Models," University of California at San Diego, Economics Working Paper Series qt58n33447, Department of Economics, UC San Diego.
    14. Gómez-Puig, Marta & Sosvilla-Rivero, Simón, 2014. "Causality and contagion in EMU sovereign debt markets," International Review of Economics & Finance, Elsevier, vol. 33(C), pages 12-27.
    15. Pierre Perron & Yohei Yamamoto, 2022. "Structural change tests under heteroskedasticity: Joint estimation versus two‐steps methods," Journal of Time Series Analysis, Wiley Blackwell, vol. 43(3), pages 389-411, May.
    16. Abhimanyu Gupta & Myung Hwan Seo, 2023. "Robust Inference on Infinite and Growing Dimensional Time‐Series Regression," Econometrica, Econometric Society, vol. 91(4), pages 1333-1361, July.
    17. Devi, P. Indira & Shanmugam, K.R. & Jayasree, M.G., 2012. "Compensating Wages for Occupational Risks of Farm Workers in India," Indian Journal of Agricultural Economics, Indian Society of Agricultural Economics, vol. 67(2), pages 1-12.
    18. Rossi, Barbara, 2013. "Advances in Forecasting under Instability," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 1203-1324, Elsevier.
    19. 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.
    20. Alexeev, Vitali & Maynard, Alex, 2012. "Localized level crossing random walk test robust to the presence of structural breaks," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3322-3344.

    More about this item

    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:ris:actuec:v:73:y:1997:i:1:p:457-505. 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: Benoit Dostie The email address of this maintainer does not seem to be valid anymore. Please ask Benoit Dostie to update the entry or send us the correct address (email available below). General contact details of provider: https://edirc.repec.org/data/scseeea.html .

    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.