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Testing for Structural Change in the Presence of Auxiliary Models

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Several estimation procedures such as the Efficient Method of Moments (EMM) of Gallant and Tauchen (1996) and Indirect Inference procedure of Gouriéroux, Monfort and Renault (1993) involve two models, an auxiliary one and a model of interest. The role played by both models poses challenges and provides new opportunities for hypothesis testing beyond the usual Wald, LM and LR-type tests. In this paper we present and derive the asymptotic distribution theory for various classes of tests for structural change. Some procedures are extensions of standard tests while others are specific to the dual model setup and exploit its unique features. Plusieurs méthodes d'estimation nécessitent un modèle instrumentale et un modèle d'intérêt. On retrouve parmi ces méthodes; la méthode des moments efficace de Gallant et Tauchen (1996) et l'Inférence Indirecte proposée par Gouriéroux, Monfort et Renault (1993). La présence de ces deux modèles procure de nouvelles opportunités d'inférence. Dans ce papier, on présente et dérive la loi asymptotique de différents tests de changement structurel. Certaines procédures sont des extensions de tests standards tandis que d'autres sont spécifiquement adaptées à la présence des deux modèles.

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  • Eric Ghysels & Alain Guay, 2001. "Testing for Structural Change in the Presence of Auxiliary Models," Cahiers de recherche CREFE / CREFE Working Papers 133, CREFE, Université du Québec à Montréal.
    • Handle: RePEc:cre:crefwp:133
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    Cited by:

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    3. Mardi Dungey & Vitali Alexeev & Jing Tian & Alastair R. Hall, 2015. "Econometricians Have Their Moments: GMM at 32," The Economic Record, The Economic Society of Australia, vol. 91, pages 1-24, June.

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    Keywords

    Simulated methods of estimation; structural stability testing; optimal tests;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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