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Bootstrapping factor-augmented regression models

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  • Sílvia Gonçalves
  • Benoit Perron

Abstract

The main contribution of this paper is to propose and theoretically justify bootstrap methods for regressions where some of the regressors are factors estimated from a large panel of data. We derive our results under the assumption that √T/N→c, where 0≤c0, a two-step residual-based bootstrap is required to capture the factors estimation uncertainty, which shows up as an asymptotic bias term (as we show here and as was recently discussed by Ludvigson and Ng (2009b)). Because the bias depends on the cross sectional dependence of the idiosyncratic error term, bootstrap validity depends crucially on the ability of the bootstrap panel factor model to capture this cross sectional dependence. Cet article propose et justifie théoriquement des méthodes de bootstrap pour des régressions où certains régresseurs sont des facteurs estimés à partir de panel de données de grandes dimensions. Nous obtenons nos résultats sous la condition que √T/N→c, où 0≤c 0, une procédure de bootstrap à deux étapes est nécessaire pour capter l'incertitude reliée à l'estimation des facteurs qui apparaît comme un biais asymptotique (tel que discuté récemment par Ludvigson et Ng (2009b). Parce que ce biais dépend de la dépendance transversale des erreurs idiosyncrasiques, la validité du bootstrap dépend de sa capacité à reproduire cette dépendance.

Suggested Citation

  • Sílvia Gonçalves & Benoit Perron, 2012. "Bootstrapping factor-augmented regression models," CIRANO Working Papers 2012s-12, CIRANO.
  • Handle: RePEc:cir:cirwor:2012s-12
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    File URL: http://www.cirano.qc.ca/files/publications/2012s-12.pdf
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    References listed on IDEAS

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    Cited by:

    1. Ruiz Ortega, Esther & Vicente Maldonado, Javier de, 2017. "Accurate Subsampling Intervals of Principal Components Factors," DES - Working Papers. Statistics and Econometrics. WS 23974, Universidad Carlos III de Madrid. Departamento de Estadística.
    2. Yohei Yamamoto, 2012. "Bootstrap Inference for Impulse Response Functions in Factor-Augmented Vector Autoregressions," Global COE Hi-Stat Discussion Paper Series gd12-249, Institute of Economic Research, Hitotsubashi University.
    3. repec:eee:ecolet:v:157:y:2017:i:c:p:71-74 is not listed on IDEAS
    4. Jushan Bai & Kunpeng Li & Lina Lu, 2016. "Estimation and Inference of FAVAR Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 34(4), pages 620-641, October.
    5. Gonçalves, Sílvia & McCracken, Michael W. & Perron, Benoit, 2017. "Tests of equal accuracy for nested models with estimated factors," Journal of Econometrics, Elsevier, vol. 198(2), pages 231-252.
    6. Jack Fosten, 2016. "Model selection with factors and variables," University of East Anglia School of Economics Working Paper Series 2016-07, School of Economics, University of East Anglia, Norwich, UK..
    7. Shintani, Mototsugu & Guo, Zi-Yi, 2011. "Finite Sample Performance of Principal Components Estimators for Dynamic Factor Models: Asymptotic vs. Bootstrap Approximations," EconStor Preprints 167627, ZBW - German National Library of Economics.
    8. Cheng, Xu & Hansen, Bruce E., 2015. "Forecasting with factor-augmented regression: A frequentist model averaging approach," Journal of Econometrics, Elsevier, vol. 186(2), pages 280-293.
    9. Corradi, Valentina & Swanson, Norman R., 2014. "Testing for structural stability of factor augmented forecasting models," Journal of Econometrics, Elsevier, vol. 182(1), pages 100-118.
    10. Jack Fosten, 2016. "Forecast evaluation with factor-augmented models," University of East Anglia School of Economics Working Paper Series 2016-05, School of Economics, University of East Anglia, Norwich, UK..
    11. Knut Are Aastveit & Hilde C. Bjørnland & Leif Anders Thorsrud, 2015. "What Drives Oil Prices? Emerging Versus Developed Economies," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(7), pages 1013-1028, November.
    12. Götz, Thomas B. & Hecq, Alain & Smeekes, Stephan, 2016. "Testing for Granger causality in large mixed-frequency VARs," Journal of Econometrics, Elsevier, vol. 193(2), pages 418-432.
    13. Leif Anders Thorsrud, 2013. "Global and regional business cycles. Shocks and propagations," Working Papers No 3/2013, Centre for Applied Macro- and Petroleum economics (CAMP), BI Norwegian Business School.
    14. Sílvia Gonçalves & Benoit Perron & Antoine Djogbenou, 2016. "Bootstrap prediction intervals for factor models," CIRANO Working Papers 2016s-19, CIRANO.
    15. Gloria Gonzalez-Rivera & Esther Ruiz & Javier Vicente, 2018. "Growth in Stress," Working Papers 201805, University of California at Riverside, Department of Economics.
    16. González-Rivera, Gloria & Vicente Maldonado, Javier de & Ruiz Ortega, Esther, 2018. "Growth in Stress," DES - Working Papers. Statistics and Econometrics. WS 26623, Universidad Carlos III de Madrid. Departamento de Estadística.
    17. Antoine A. Djogbenou, 2018. "Comovements in the Real Activity of Developed and Emerging Economies: A Test of Global versus Specific International Factors," Working Papers 1392, Queen's University, Department of Economics.
    18. Antoine A. Djogbenou, 2017. "Model Selection in Factor-Augmented Regressions with Estimated Factors," Working Papers 1391, Queen's University, Department of Economics.
    19. Gonçalves, Sílvia & Kaffo, Maximilien, 2015. "Bootstrap inference for linear dynamic panel data models with individual fixed effects," Journal of Econometrics, Elsevier, vol. 186(2), pages 407-426.
    20. Bicu A.C. & Lieb L.M., 2015. "Cross-border effects of fiscal policy in the Eurozone," Research Memorandum 019, Maastricht University, Graduate School of Business and Economics (GSBE).

    More about this item

    Keywords

    factor model; bootstrap; asymptotic bias; Modèle à facteurs; bootstrap; biais asymptotique;

    JEL classification:

    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods

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