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Monte Carlo Test Applied to Models Estimated by Indirect Inference

Author

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  • Jean-Marie Dufour

    (Universite de Montreal)

  • Pascale Valery

    (Universite de Montreal)

Abstract

In this paper, we propose finite-sample inference procedures for parametric econometric models whose likelihood function is intractable and require simulation-based estimation methods, like indirect inference (Gourieroux, Monfort and Renault, 1993) or the efficient method of moments (Gallant and Tauchen, 1996). The procedures proposed are based on extensions of the technique of Monte Carlo tests which applies naturally to any model that can simulated. In particular, we show that the method of maximized Monte Carlo tests allows to control perfectly the level of test procedures for which only asymptotic justifions are typically proposed. The technique is applied to inference on stochastic differential equations.

Suggested Citation

  • Jean-Marie Dufour & Pascale Valery, 2000. "Monte Carlo Test Applied to Models Estimated by Indirect Inference," Econometric Society World Congress 2000 Contributed Papers 1667, Econometric Society.
  • Handle: RePEc:ecm:wc2000:1667
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    References listed on IDEAS

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    1. Dufour, Jean-Marie & Kiviet, Jan F., 1996. "Exact tests for structural change in first-order dynamic models," Journal of Econometrics, Elsevier, vol. 70(1), pages 39-68, January.
    2. Kiviet, Jan F. & Dufour, Jean-Marie, 1997. "Exact tests in single equation autoregressive distributed lag models," Journal of Econometrics, Elsevier, vol. 80(2), pages 325-353, October.
    3. Gourieroux, C & Monfort, A & Renault, E, 1993. "Indirect Inference," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages 85-118, Suppl. De.
    4. Bansal, Ravi & Gallant, A. Ronald & Hussey, Robert & Tauchen, George, 1995. "Nonparametric estimation of structural models for high-frequency currency market data," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 251-287.
    5. repec:cup:etheor:v:12:y:1996:i:4:p:657-81 is not listed on IDEAS
    6. Jean-Marie Dufour, 1997. "Some Impossibility Theorems in Econometrics with Applications to Structural and Dynamic Models," Econometrica, Econometric Society, vol. 65(6), pages 1365-1388, November.
    7. Gallant, A. Ronald & Tauchen, George, 1996. "Which Moments to Match?," Econometric Theory, Cambridge University Press, vol. 12(04), pages 657-681, October.
    8. Jean-Marie Dufour & Jan F. Kiviet, 1998. "Exact Inference Methods for First-Order Autoregressive Distributed Lag Models," Econometrica, Econometric Society, vol. 66(1), pages 79-104, January.
    9. Dufour, Jean-Marie, 2006. "Monte Carlo tests with nuisance parameters: A general approach to finite-sample inference and nonstandard asymptotics," Journal of Econometrics, Elsevier, vol. 133(2), pages 443-477, August.
    10. Andersen, Torben G. & Chung, Hyung-Jin & Sorensen, Bent E., 1999. "Efficient method of moments estimation of a stochastic volatility model: A Monte Carlo study," Journal of Econometrics, Elsevier, vol. 91(1), pages 61-87, July.
    11. Goffe, William L. & Ferrier, Gary D. & Rogers, John, 1994. "Global optimization of statistical functions with simulated annealing," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 65-99.
    12. Jean-Marie Dufour & Lynda Khalaf, 1999. "Simulation Based Finite- and Large-Sample Inference Methods in Simultaneous Equations," Computing in Economics and Finance 1999 824, Society for Computational Economics.
    13. Jean-Marie Dufour & Linda Khalaf, "undated". "Simulation Based Finite and Large Sample Inference Methods in Multiple Regression Models," Computing in Economics and Finance 1997 141, Society for Computational Economics.
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    Cited by:

    1. Khalaf, Lynda & Saphores, Jean-Daniel & Bilodeau, Jean-François, 2000. "Simulation-Based Exact Tests with Unidentified Nuisance Parameters under the Null Hypothesis : the Case of Jumps Tests in Model with Conditional Heteroskedasticity," Cahiers de recherche 0004, Université Laval - Département d'économique.

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