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Estimating non-linear models with multiple fixed effects:a computational note

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  • Laura Hospido

    (Banco de España)

Abstract

In this paper we consider estimation of nonlinear panel data models that include multiple individual fixed effects. Estimation of these models is complicated both by the diffi culty of estimating models with possibly thousands of coeffi cients and also by the incidental parameters problem; that is, noisy estimates of the fi xed effects when the time dimension is short contaminate the estimates of the common parameters due to the nonlinearity of the problem. We propose a simple variation of existing bias-corrected estimators, which can exploit the additivity of the effects for numerical optimization. We exhibit the performance of the estimators in simulations.

Suggested Citation

  • Laura Hospido, 2011. "Estimating non-linear models with multiple fixed effects:a computational note," Working Papers 1114, Banco de España.
    • Handle: RePEc:bde:wpaper:1114
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    References listed on IDEAS

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    1. William Greene, 2004. "The behaviour of the maximum likelihood estimator of limited dependent variable models in the presence of fixed effects," Econometrics Journal, Royal Economic Society, vol. 7(1), pages 98-119, June.
    2. Blundell,Richard & Newey,Whitney & Persson,Torsten (ed.), 2007. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692106.
    3. Manuel Arellano & Jinyong Hahn, 2016. "A likelihood-Based Approximate Solution to the Incidental Parameter Problem in Dynamic Nonlinear Models with Multiple Effects," Global Economic Review, Taylor & Francis Journals, vol. 45(3), pages 251-274, July.
    4. L. Hospido, 2012. "Modelling heterogeneity and dynamics in the volatility of individual wages," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(3), pages 386-414, April.
    5. Carro, Jesus M., 2007. "Estimating dynamic panel data discrete choice models with fixed effects," Journal of Econometrics, Elsevier, vol. 140(2), pages 503-528, October.
    6. Blundell,Richard & Newey,Whitney & Persson,Torsten (ed.), 2007. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521871549.
    7. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2007. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521871532.
    8. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2007. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692090.
    9. Bester, C. Alan & Hansen, Christian, 2009. "A Penalty Function Approach to Bias Reduction in Nonlinear Panel Models with Fixed Effects," Journal of Business & Economic Statistics, American Statistical Association, vol. 27(2), pages 131-148.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Alessandro Iaria, & Wang, Ao, 2021. "An Empirical Model of Quantity Discounts with Large Choice Sets," The Warwick Economics Research Paper Series (TWERPS) 1378, University of Warwick, Department of Economics.
    2. Bedre Defolie, Özlem & Alexandrov, Alexei & Grodzicki, Daniel, 2017. "Consumer Demand for Credit Card Services," CEPR Discussion Papers 12506, C.E.P.R. Discussion Papers.
    3. Carneiro, Anabela & Portugal, Pedro & Raposo, Pedro & Rodrigues, Paulo M.M., 2023. "The persistence of wages," Journal of Econometrics, Elsevier, vol. 233(2), pages 596-611.
    4. Mugnier, Martin & Wang, Ao, 2022. "Identification and (Fast) Estimation of Large Nonlinear Panel Models with Two-Way Fixed Effects," The Warwick Economics Research Paper Series (TWERPS) 1422, University of Warwick, Department of Economics.
    5. Jörg Claussen & Christian Essling & Christian Peukert, 2018. "Demand variation, strategic flexibility and market entry: Evidence from the U.S. airline industry," Strategic Management Journal, Wiley Blackwell, vol. 39(11), pages 2877-2898, November.
    6. Daniel Grodzicki & Alexei Alexandrov & Özlem Bedre-Defolie & Sergei Koulayev, 2023. "Consumer Demand for Credit Card Services," Journal of Financial Services Research, Springer;Western Finance Association, vol. 63(3), pages 273-311, June.

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    More about this item

    Keywords

    Panel data; nonlinear models; multiple fi xed e¤ects; incidental parameters; bias reduction;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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