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Consistent covariance matrix estimation in probit models with autocorrelated errors

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Author Info
Arturo Estrella
Anthony P. Rodrigues

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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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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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This paper has been announced in the following NEP Reports: References listed on IDEAS
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  1. Amemiya, Takeshi, 1981. "Qualitative Response Models: A Survey," Journal of Economic Literature, American Economic Association, vol. 19(4), pages 1483-1536, December. [Downloadable!] (restricted)
  2. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May. [Downloadable!] (restricted)
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  3. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. Poirier, Dale J & Ruud, Paul A, 1988. "Probit with Dependent Observations," Review of Economic Studies, Blackwell Publishing, vol. 55(4), pages 593-614, October. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
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  7. Estrella, Arturo & Hardouvelis, Gikas A, 1991. " The Term Structure as a Predictor of Real Economic Activity," Journal of Finance, American Finance Association, vol. 46(2), pages 555-76, June. [Downloadable!] (restricted)
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  8. Arturo Estrella & Frederic S. Mishkin, 1996. "Predicting U.S. recessions: financial variables as leading indicators," Research Paper 9609, Federal Reserve Bank of New York. [Downloadable!]
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  9. 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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  11. Gourieroux Christian & Monfort Alain & Trognon A, 1982. "Estimation and test in probit models with serial correlation," CEPREMAP Working Papers (Couverture Orange) 8220, CEPREMAP.
  12. Wooldridge, Jeffrey M., 1986. "Estimation and inference for dependent processes," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 45, pages 2639-2738 Elsevier. [Downloadable!] (restricted)
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  1. 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. [Downloadable!]
  2. Michael Dueker & Katrin Wesche, 2001. "European business cycles: new indices and analysis of their synchronicity," Working Papers 1999-019, Federal Reserve Bank of St. Louis. [Downloadable!]
    Other versions:
  3. Arturo Estrella & Anthony P. Rodrigues & Sebastian Schich, 2000. "How stable is the predictive power of the yield curve? evidence from Germany and the United States," Staff Reports 113, Federal Reserve Bank of New York. [Downloadable!]
    Other versions:
  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.). [Downloadable!]
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