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Indirect Inference, Nuisance Parameter and Threshold Moving Average

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Abstract

We analyse the modifications that occur in indirect inference when a nuisance parameter is not identified under the null hypothesis. We develop a testing procedure adapted to this simulation based estimation method, and detail its use for detecting the threshold effect in threshold moving average models with contemporaneous and lagged asymetries. In contrast to existing threshold models, these models allow to take into account the presence of asymetric effects of current and lagged random shocks on US GNP growth rates. Nous analysons les modifications à apporter à la méthode d'inférence indirecte lorsqu'un paramètre de nuisance n'est pas identifié sous l'hypothèse nulle. Nous développons une procédure de test adaptée à cette méthode d'estimation fondée sur des simulations, et détaillons son utilisation dans la détection de l'effet de seuil dans des modèles moyennes mobiles à seuils avec asymétries contemporaines et retardées. Par rapport aux autres modèles à seuils existants, ces modèles permettent de prendre en compte la présence d'effets asymétriques des chocs courants et retardés sur la série de taux de croissance du PNB américain.

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  • 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.
  • Handle: RePEc:cre:crefwp:95
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    References listed on IDEAS

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    Cited by:

    1. Taştan, Hüseyin, 2011. "Simulation based estimation of threshold moving average models with contemporaneous shock asymmetry," MPRA Paper 34302, University Library of Munich, Germany.
    2. Matteo Barigozzi & Roxana Halbleib & David Veredas, 2012. "Which model to match?," Working Papers 1229, Banco de España.
    3. Grassi, Stefano & Santucci de Magistris, Paolo, 2015. "It's all about volatility of volatility: Evidence from a two-factor stochastic volatility model," Journal of Empirical Finance, Elsevier, vol. 30(C), pages 62-78.
    4. Catherine Bruneau & Amine Lahiani, 2006. "Estimation d'un modèle TIMA avec asymétrie contemporaine par inférence indirecte," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 142(IV), pages 479-500, December.
    5. Lahiani, A. & Scaillet, O., 2009. "Testing for threshold effect in ARFIMA models: Application to US unemployment rate data," International Journal of Forecasting, Elsevier, vol. 25(2), pages 418-428.

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    More about this item

    Keywords

    threshold model; indirect inference; nuisance parameter;
    All these keywords.

    JEL classification:

    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

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