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A tobit model with garch errors

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Author Info
Giorgio Calzolari
Gabriele Fiorentini

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Abstract

In the context of time series regression, we extend the standard Tobit model 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 an approximation by treating the model as being conditionally Gaussian. The performance of the estimator is investigated by means of Monte Carlo simulations. We find that, when the error terms follow a GARCH process, the proposed estimator considerably outperforms the standard Tobit quasi maximum likelihood estimator. The efficiency loss due to the approximation of the likelihood is finally evaluated.

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File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/07474939808800404&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
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Publisher Info
Article provided by Taylor and Francis Journals in its journal Econometric Reviews.

Volume (Year): 17 (1998)
Issue (Month): 1 ()
Pages: 85-104
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Handle: RePEc:taf:emetrv:v:17:y:1998:i:1:p:85-104

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Related research
Keywords: censored regressions; conditional heteroskedasticity; Monte Carlo simulations;

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References listed on IDEAS
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  1. 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. [Downloadable!] (restricted)
  2. Pesaran, M. Hashem & Samiei, Hossein, 1992. "Estimating limited-dependent rational expectations models with an application to exchange rate determination in a target zone," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 141-163. [Downloadable!] (restricted)
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  3. 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.. [Downloadable!] (restricted)
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  4. Pesaran, M.H. & Ruge-Murcia, F.J., 1995. "A Discrete-Time Version of Target Zone Models with Jumps," Cahiers de recherche 9530, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  5. Calzolari, Giorgio & Fiorentini, Gabriele, 1993. "Alternative covariance estimators of the standard Tobit model," Economics Letters, Elsevier, vol. 42(1), pages 5-13. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
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  8. Pesaran, M.H. & Samiei, H., 1990. "Estimating Limited-Dependent Rational Expectations Models," Papers 18, California Los Angeles - Applied Econometrics.
  9. Hashem Pesaran, M. & Ruge-Murcia, Francisco J., 1996. "Limited-dependent rational expectations models with stochastic thresholds," Economics Letters, Elsevier, vol. 51(3), pages 267-276, June. [Downloadable!] (restricted)
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  10. Gourieroux, C & Monfort, A & Renault, E, 1993. "Indirect Inference," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages S85-118, Suppl. De. [Downloadable!] (restricted)
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  11. Bertola, G. & Svensson, L.E., 1990. "Stochastic Devaluation Risk and the Empirical Fit of Target Zone Models," Papers 481, Stockholm - International Economic Studies.
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  12. Amemiya, Takeshi, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61. [Downloadable!] (restricted)
  13. Hurd, Michael, 1979. "Estimation in truncated samples when there is heteroscedasticity," Journal of Econometrics, Elsevier, vol. 11(2-3), pages 247-258. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
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  15. 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. [Downloadable!] (restricted)
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  16. Garcia, E.G., 1994. "A Devaluations Model for the EMS," Papers 9416, Centro de Estudios Monetarios Y Financieros-.
  17. 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. [Downloadable!] (restricted)
  18. 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. [Downloadable!] (restricted)
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