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Threshold Models for Trended Time Series

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  • Kapetanios, G.

Abstract

This paper presents the theoretical development of new threshold autoregressive models based on trended time series. The theoretical arguments underlying the models are outlined and a nonlinear economic model is used to derive the specification of the empirical econometric models. Estimation and testing issues are considered and analysed. Additionally, the models are applied to the empirical investigation of US GDP. The results are encouraging and warrant further research.

Suggested Citation

  • Kapetanios, G., 1999. "Threshold Models for Trended Time Series," Cambridge Working Papers in Economics 9905, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:9905
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    References listed on IDEAS

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    Cited by:

    1. J-P.Guironnet, 2006. "Analyse cliométrique des cycles de croissance de l'éducation en France (1815-2003): vers un modèle à seuil autorégressif," Economies et Sociétés (Serie 'Histoire Economique Quantitative'), Association Française de Cliométrie (AFC), issue 34, pages 193-214, February.
    2. George Kapetanios, 2002. "Testing for Neglected Nonlinearity in Long Memory Models," Working Papers 473, Queen Mary University of London, School of Economics and Finance.
    3. Coakley, Jerry & Fuertes, Ana-Marı́a & Pérez, Marı́a-Teresa, 2003. "Numerical issues in threshold autoregressive modeling of time series," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11), pages 2219-2242.
    4. George Kapetanios, 2002. "Measuring Conditional Persistence in Time Series," Working Papers 474, Queen Mary University of London, School of Economics and Finance.
    5. Richard T. Baillie & George Kapetanios, 2005. "Testing for Neglected Nonlinearity in Long Memory Models," Working Papers 528, Queen Mary University of London, School of Economics and Finance.
    6. Strikholm, Birgit & Teräsvirta, Timo, 2005. "Determining the Number of Regimes in a Threshold Autoregressive Model Using Smooth Transition Autoregressions," SSE/EFI Working Paper Series in Economics and Finance 578, Stockholm School of Economics, revised 11 Feb 2005.
    7. Sensier, Marianne & Osborn, Denise R & Ocal, Nadir, 2002. " Asymmetric Interest Rate Effects for the UK Real Economy," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 64(4), pages 315-339, September.
    8. Baillie, Richard T. & Kapetanios, George, 2008. "Nonlinear models for strongly dependent processes with financial applications," Journal of Econometrics, Elsevier, vol. 147(1), pages 60-71, November.
    9. Frédérique Bec & Othman Bouabdallah & Laurent Ferrara, 2011. "The European Way Out of Recessions," THEMA Working Papers 2011-23, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.

    More about this item

    Keywords

    Nonlinearity; Threshold models; EDTAR models; Forecasting;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods

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