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Structural Change Tests for Simulated Method of Moments

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Author Info
Eric Guysels () (Pennsylvania State University)
Alain Guay () (Center for Research on Economic Fluctuations and Employment, UQAM)

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Abstract

Simulation-based estimation methods have become more widely used in recent years. We propose a set of tests for structural change in models estimates via Simulated Method of Moments (see Duffie and Singleton (1993)). These tests extend the recent work of Andrews (1993) and Sowell (1996a, b) which covered Generalized Method of Moments estimators not involving simulation. We derive the asymptotic distributions of various tests. We show that the number of simulations does not affect the asymptotic distribution nor the asymptotic local power of tests for structural change. A Monte Carlo investigation of the finite sample size and power reveals, however, that simulation uncertainty does affect the properties of tests. Nevertheless, even a relatively small number of simulations suffices to obtain tests with desirable small sample size and power properties.

Les méthodes simulées d'estimation sont de plus en plus utilisées pour l'estimation et l'évaluation des modèles struturels. Dans cette étude, nous introduisons un ensemble de tests de stabilité pour les modèles estimés à l'aide de la méthode des moments simulés (voir Duffie et Singleton (1993)). Ces tests sont basés sur les travaux récents, dans le cadre de la méthode des moments généralisés, de Andrews (1993) et Sowell (1996a, b). Nous obtenons la loi asymptotique de ces tests et nous montrons que cette loi ainsi que la puissance locale asymptotique ne dépendent pas du nombre de simulations. Une étude de Monte-Carlo révèle qu'en petit échantillon le nombre de simulations influence le niveau et la puissance des tests. Cependant, un nombre restreint de simulations semble suffisant pour obtenir des bonnes propriétés de petit échantillon.

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Publisher Info
Paper provided by CREFE, Université du Québec à Montréal in its series Cahiers de recherche CREFE / CREFE Working Papers with number 61.

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Length: 25 pages
Date of creation: Jun 1998
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Handle: RePEc:cre:crefwp:61

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Related research
Keywords: Simulated method of moments Structural stability testing Optimal tests.

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Find related papers by JEL classification:
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Hall, Alastair R & Sen, Amit, 1999. "Structural Stability Testing in Models Estimated by Generalized Method of Moments," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(3), pages 335-48, July.
  2. Ghysels, Eric & Hall, Alastair, 1990. "A Test for Structural Stability of Euler Conditions Parameters Estimated via the Generalized Method of Moments Estimator," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(2), pages 355-64, May. [Downloadable!] (restricted)
    Other versions:
  3. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November. [Downloadable!] (restricted)
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  4. 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)
  5. Sowell, Fallaw, 1996. "Optimal Tests for Parameter Instability in the Generalized Method of Moments Framework," Econometrica, Econometric Society, vol. 64(5), pages 1085-1107, September. [Downloadable!] (restricted)
  6. Newey, Whitney K, 1991. "Uniform Convergence in Probability and Stochastic Equicontinuity," Econometrica, Econometric Society, vol. 59(4), pages 1161-67, July. [Downloadable!] (restricted)
  7. Ghysels, E. & Guay, A. & Hall, A., 1995. "Predictive Tests for Structural Change with Unknown Breakpoint," Cahiers de recherche 9524, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    Other versions:
  8. Gourieroux, C. & Monfort, A & Renault, E., 1992. "Indirect Inference," Papers 9215, Institut National de la Statistique et des Etudes Economiques-.
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  9. Duffie, Darrell & Singleton, Kenneth J, 1993. "Simulated Moments Estimation of Markov Models of Asset Prices," Econometrica, Econometric Society, vol. 61(4), pages 929-52, July. [Downloadable!] (restricted)
  10. Billio, M. & Monfort, A., 1999. "Functional Indirect Inference," Papers 9901, Institut National de la Statistique et des Etudes Economiques-.
  11. Fallaw Sowell, . "Tests for Violations of Moment Conditions," GSIA Working Papers 21, Carnegie Mellon University, Tepper School of Business. [Downloadable!]
  12. Andrews, Donald W K & Monahan, J Christopher, 1992. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 60(4), pages 953-66, July. [Downloadable!] (restricted)
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  13. Dufour, Jean-Marie & Ghysels, Eric & Hall, Alastair, 1994. "Generalized Predictive Tests and Structural Change Analysis in Econometrics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 199-229, February. [Downloadable!] (restricted)
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  14. Andrews, Donald W K, 1994. "The Large Sample Correspondence between Classical Hypothesis Tests and Bayesian Posterior Odds Tests," Econometrica, Econometric Society, vol. 62(5), pages 1207-32, September. [Downloadable!] (restricted)
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  15. repec:cup:etheor:v:8:y:1992:i:2:p:241-57 is not listed on IDEAS
  16. repec:cup:etheor:v:12:y:1996:i:4:p:657-81 is not listed on IDEAS
  17. Newey, Whitney K & West, Kenneth D, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Blackwell Publishing, vol. 61(4), pages 631-53, October. [Downloadable!] (restricted)
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  18. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-56, July. [Downloadable!] (restricted)
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Eric Ghysels & Alain Guay, 2001. "Testing for Structural Change in the Presence of Auxiliary Models," CIRANO Working Papers 2001s-54, CIRANO. [Downloadable!]
    Other versions:
  2. Alain Guay & Olivier Scaillet, 1999. "Indirect Inference, Nuisance Parameter and Threshold Moving Average," Cahiers de recherche CREFE / CREFE Working Papers 95, CREFE, Université du Québec à Montréal. [Downloadable!]
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