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A tobit model with garch errors

  • Gabriele Fiorentini

    ()

    (Universidad de Alicante)

  • Giorgio Calzolari

    (University of Florence)

In the context of time series regression, we extend the standard Tobitmodel to allow for the possibility of conditional heteroskedastic error processes of the GARCH type.We discuss the likelihood function of the Tobit model in the presence of conditionally heteroskedastic errors.Expressing the exact likelihood function turns out to be infeasible, and we propose anapproximation by treating the model as being conditionally Gaussian. The performance of theestimator is investigated by means of Monte Carlo simulations. We find that, when the errorterms follow a GARCH process, the proposed estimator considerably outperforms the standardTobit quasi maximum likelihood estimator. The efficency loss due to the approximationof the likelihood is finally evaluated.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1997-13.pdf
File Function: Fisrt version / Primera version, 1997
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Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1997-13.

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Length: 19 pages
Date of creation: Apr 1997
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1997-13
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  1. Bertola, Giuseppe & Svensson, Lars E O, 1993. "Stochastic Devaluation Risk and the Empirical Fit of Target-Zone Models," Review of Economic Studies, Wiley Blackwell, vol. 60(3), pages 689-712, July.
  2. Gourieroux, C. & Monfort, A. & Renault, E., 1992. "Indirect Inference," Papers 92.279, Toulouse - GREMAQ.
  3. Edin, Per-Anders & Vredin, Anders, 1993. "Devaluation Risk in Target Zones: Evidence from the Nordic Countries," Economic Journal, Royal Economic Society, vol. 103(416), pages 161-75, January.
  4. Pesaran, M.H. & Murcia, F.J., 1993. "Limited-Dependent Rational Expectations Models with Stochastic Thresholds," Cambridge Working Papers in Economics 9318, Faculty of Economics, University of Cambridge.
  5. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
  6. Fiorentini, Gabriele & Calzolari, Giorgio & Panattoni, Lorenzo, 1996. "Analytic Derivatives and the Computation of GARCH Estimates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(4), pages 399-417, July-Aug..
  7. Pesaran, M.H. & Ruge-Murcia, F.J., 1995. "A Discrete-Time Version of Target Zone Models with Jumps," Cahiers de recherche 9530, Universite de Montreal, Departement de sciences economiques.
  8. Arabmazar, Abbas & Schmidt, Peter, 1982. "An Investigation of the Robustness of the Tobit Estimator to Non-Normality," Econometrica, Econometric Society, vol. 50(4), pages 1055-63, July.
  9. M. Hashem Pesaran & Hossein Samiei, 1991. "Estimating Limited-Dependent Rational Expectations Models: With an Application to Exchange Rate Determination in a Target Zone," UCLA Economics Working Papers 612, UCLA Department of Economics.
  10. Amemiya, Takeshi, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61.
  11. Pesaran, M. Hashem & Samiei, Hossein, 1995. "Limited-dependent rational expectations models with future expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 19(8), pages 1325-1353, November.
  12. Hurd, Michael, 1979. "Estimation in truncated samples when there is heteroscedasticity," Journal of Econometrics, Elsevier, vol. 11(2-3), pages 247-258.
  13. Arabmazar, Abbas & Schmidt, Peter, 1981. "Further evidence on the robustness of the Tobit estimator to heteroskedasticity," Journal of Econometrics, Elsevier, vol. 17(2), pages 253-258, November.
  14. Pesaran, M Hashem & Samiei, Hossein, 1992. "An Analysis of the Determination of Deutsche Mark/French Franc Exchange Rate in a Discrete-Time Target-Zone Model," Economic Journal, Royal Economic Society, vol. 102(411), pages 388-401, March.
  15. Harvey, Andrew & Ruiz, Esther & Sentana, Enrique, 1992. "Unobserved component time series models with Arch disturbances," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 129-157.
  16. Pesaran, M.H. & Samiei, H., 1990. "Estimating Limited-Dependent Rational Expectations Models," Papers 18, California Los Angeles - Applied Econometrics.
  17. Calzolari, Giorgio, 2012. "Econometric notes," MPRA Paper 36765, University Library of Munich, Germany.
  18. Garcia, E.G., 1994. "A Devaluations Model for the EMS," Papers 9416, Centro de Estudios Monetarios Y Financieros-.
  19. Calzolari, Giorgio & Fiorentini, Gabriele, 1993. "Alternative covariance estimators of the standard Tobit model," Economics Letters, Elsevier, vol. 42(1), pages 5-13.
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