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L’estimation de modèles avec changements structurels multiples

  • Perron, Pierre

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

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.

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Article provided by Société Canadienne de Science Economique in its journal L'Actualité économique.

Volume (Year): 73 (1997)
Issue (Month): 1 (mars-juin-septembre)
Pages: 457-505

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Handle: RePEc:ris:actuec:v:73:y:1997:i:1:p:457-505
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  1. Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche 9552, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  2. Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
  3. 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 111-25, February.
  4. Yao, Yi-Ching, 1988. "Estimating the number of change-points via Schwarz' criterion," Statistics & Probability Letters, Elsevier, vol. 6(3), pages 181-189, February.
  5. 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.
  6. BAI, Jushan & PERRON, Pierre, 1998. "Computation and Analysis of Multiple Structural-Change Models," Cahiers de recherche 9807, Universite de Montreal, Departement de sciences economiques.
  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. Bai, J., 1994. "Estimation of Structural Change Based on Wald-Type Statistics," Working papers 94-06, Massachusetts Institute of Technology (MIT), Department of Economics.
  9. Perron, P., 1991. "A Test for Changes in a Polynomial Trend Functions for a Dynamioc Time Series," Papers 363, Princeton, Department of Economics - Econometric Research Program.
  10. 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 938-41, November.
  11. Nunes, Luis C. & Newbold, Paul & Chung-Ming Kuan, 1996. "Spurious number of breaks," Economics Letters, Elsevier, vol. 50(2), pages 175-178, February.
  12. Donald W.K. Andrews & Inpyo Lee & Werner Ploberger, 1992. "Optimal Changepoint Tests for Normal Linear Regression," Cowles Foundation Discussion Papers 1016, Cowles Foundation for Research in Economics, Yale University.
  13. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-56, July.
  14. 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.
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