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Consistent covariance matrix estimation in probit models with autocorrelated errors

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  • Arturo Estrella
  • Anthony P. Rodrigues

Abstract

Some recent time-series applications use probit models to measure the forecasting power of a set of variables. Correct inferences about the significance of the variables requires a consistent estimator of the covariance matrix of the estimated model coefficients. A potential source of inconsistency in maximum likelihood standard errors is serial correlation in the underlying disturbances, which may arise, for example, from overlapping forecasts. We discuss several practical methods for constructing probit autocorrelation-consistent standard errors, drawing on the generalized method of moments techniques of Hansen (1982), Newey-West (1987) and others, and we provide simulation evidence that these methods can work well.

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Bibliographic Info

Paper provided by Federal Reserve Bank of New York in its series Staff Reports with number 39.

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Date of creation: 1998
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Handle: RePEc:fip:fednsr:39

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Keywords: Time-series analysis ; Regression analysis;

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References

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  1. Gourieroux Christian & Monfort Alain & Trognon A, 1982. "Estimation and test in probit models with serial correlation," CEPREMAP Working Papers (Couverture Orange) 8220, CEPREMAP.
  2. Arturo Estrella & Gikas A. Hardouvelis, 1989. "The term structure as a predictor of real economic activity," Research Paper 8907, Federal Reserve Bank of New York.
  3. Bernard, Henri J & Gerlach, Stefan, 1998. "Does the Term Structure Predict Recessions? The International Evidence," CEPR Discussion Papers 1892, C.E.P.R. Discussion Papers.
  4. Eichengreen, Barry & Watson, Mark W & Grossman, Richard S, 1985. "Bank Rate Policy under the Interwar Gold Standard: A Dynamic Probit Model," Economic Journal, Royal Economic Society, vol. 95(379), pages 725-45, September.
  5. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May.
  6. Avery, Robert B & Hansen, Lars Peter & Hotz, V Joseph, 1983. "Multiperiod Probit Models and Orthogonality Condition Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 21-35, February.
  7. Dale J. Poirier and Paul A. Ruud., 1987. "Probit with Dependent Observations," Economics Working Papers 8734, University of California at Berkeley.
  8. Arturo Estrella & Frederic S. Mishkin, 1999. "Predicting U.S. Recessions: Financial Variables as Leading Indicators," NBER Working Papers 5379, National Bureau of Economic Research, Inc.
  9. Amemiya, Takeshi, 1981. "Qualitative Response Models: A Survey," Journal of Economic Literature, American Economic Association, vol. 19(4), pages 1483-1536, December.
  10. James H. Stock & Mark W. Watson, 1988. "A Probability Model of The Coincident Economic Indicators," NBER Working Papers 2772, National Bureau of Economic Research, Inc.
  11. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
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Citations

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Cited by:
  1. Arturo Estrella & Anthony P. Rodrigues & Sebastian Schich, 2003. "How Stable is the Predictive Power of the Yield Curve? Evidence from Germany and the United States," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 629-644, August.
  2. Gnabo, Jean-Yves & Laurent, Sébastien & Lecourt, Christelle, 2009. "Does transparency in central bank intervention policy bring noise to the FX market?: The case of the Bank of Japan," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 19(1), pages 94-111, February.
  3. Sedillot, F., 1999. "La pente des taux contient-elle de l'information sur l'activite economique future?," Working papers 67, Banque de France.
  4. Jonathan H. Wright, 2006. "The yield curve and predicting recessions," Finance and Economics Discussion Series 2006-07, Board of Governors of the Federal Reserve System (U.S.).
  5. Chauvet, Marcelle & Potter, Simon, 2002. "Predicting a recession: evidence from the yield curve in the presence of structural breaks," Economics Letters, Elsevier, vol. 77(2), pages 245-253, October.
  6. Dieter Gerdesmeier & Hans‐Eggert Reimers & Barbara Roffia, 2010. "Asset Price Misalignments and the Role of Money and Credit," International Finance, Wiley Blackwell, vol. 13(3), pages 377-407, Winter.
  7. M. Dueker & K. Wesche, 1999. "European Business Cycles: New Indices and Analysis of their Synchronicity," Discussion Paper Serie B 448, University of Bonn, Germany.
  8. Dieter Gerdesmeier & Hans-Eggert Reimers & Barbara Roffia, 2011. "Early Warning Indicators for Asset Price Booms," Review of Economics & Finance, Better Advances Press, Canada, vol. 1, pages 1-19, June.
  9. Javier Gómez, . "Changes in the Informational Content of the Spread: Is Monetary Policy Becoming Less Effective?," Faculty Working Papers 05/07, School of Economics and Business Administration, University of Navarra.
  10. Pons Novell, J., 2002. "Ciclo de la economía española y contenido informativo de los tipos de interés," Estudios de Economía Aplicada, Estudios de Economía Aplicada, vol. 20, pages 583-598, Diciembre.
  11. Cipollini, Andrea & Fiordelisi, Franco, 2012. "Economic value, competition and financial distress in the European banking system," Journal of Banking & Finance, Elsevier, vol. 36(11), pages 3101-3109.
  12. Esther Fernández Galar & Javier Gómez Biscarri, 2003. "Revisiting the Ability of Interest Rate Spreads to Predict Recessions: Evidence for a," Faculty Working Papers 04/03, School of Economics and Business Administration, University of Navarra.
  13. Andrew Berg & Rebecca N. Coke, 2004. "Autocorrelation-Corrected Standard Errors in Panel Probits: An Application to Currency Crisis Prediction," IMF Working Papers 04/39, International Monetary Fund.
  14. Omay, Tolga, 2008. "The Term Structure of Interest Rate as a Predictor of Inflation and Real Economic Activity: Nonlinear Evidence from Turkey," MPRA Paper 28572, University Library of Munich, Germany.
  15. Gomez-Biscarri, Javier, 2008. "Changes in the informational content of term spreads: Is monetary policy becoming less effective?," Journal of Economics and Business, Elsevier, vol. 60(5), pages 415-435.
  16. Grossman, Richard S., 2007. "Fear and greed: The evolution of double liability in American banking, 1865-1930," Explorations in Economic History, Elsevier, vol. 44(1), pages 59-80, January.

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