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Identifying Distributional Characteristics in Random Coefficients Panel Data Models

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  • Manuel Arellano
  • Stéphane Bonhomme

Abstract

We study the identification of panel models with linear individual-specific coefficients when T is fixed. We show identification of the variance of the effects under conditional uncorrelatedness. Identification requires restricted dependence of errors, reflecting a trade-off between heterogeneity and error dynamics. We show identification of the probability distribution of individual effects when errors follow an Autoregressive Moving Average process under conditional independence. We discuss Generalized Method of Moments estimation of moments of effects and errors and construct non-parametric estimators of their densities. As an application, we estimate the effect that a mother smoking during pregnancy has on her child's birth weight. Copyright , Oxford University Press.

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File URL: http://hdl.handle.net/10.1093/restud/rdr045
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Article provided by Oxford University Press in its journal The Review of Economic Studies.

Volume (Year): 79 (2012)
Issue (Month): 3 ()
Pages: 987-1020

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Handle: RePEc:oup:restud:v:79:y:2012:i:3:p:987-1020
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  • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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Cited by:

  1. Stéphane Bonhomme & Elena Manresa, 2012. "Grouped Patterns Of Heterogeneity In Panel Data," Working Papers wp2012_1208, CEMFI.
  2. Hoderlein, Stefan & White, Halbert, 2012. "Nonparametric identification in nonseparable panel data models with generalized fixed effects," Journal of Econometrics, Elsevier, vol. 168(2), pages 300-314.
  3. Magnac, Thierry & Pistolesi, Nicolas & Roux, Sébastien, 2013. "Post Schooling Human Capital Investments and the Life Cycle Variance of Earnings," IZA Discussion Papers 7407, Institute for the Study of Labor (IZA).
  4. Xavier D'Haultfoeuille & Stefan Hoderlein & Yuya Sasaki, 2013. "Nonlinear difference-in-differences in repeated cross sections with continuous treatments," CeMMAP working papers CWP40/13, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  5. Evdokimov, Kirill & White, Halbert, 2012. "Some Extensions Of A Lemma Of Kotlarski," Econometric Theory, Cambridge University Press, vol. 28(04), pages 925-932, August.
  6. Stefan Hoderlein & Yuya Sasaki, 2011. "On the role of time in nonseparable panel data models," CeMMAP working papers CWP15/11, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  7. Stefan Hoderlein & Robert Sherman, 2012. "Identification And Estimation In A Correlated Random Coefficients Binary Response Model," Boston College Working Papers in Economics 837, Boston College Department of Economics.
  8. Yoonseok Lee & Sung Jae Jun & Youngki Shin, 2014. "Treatment Effects with Unobserved Heterogeneity: A Set Identification Approach," Center for Policy Research Working Papers 169, Center for Policy Research, Maxwell School, Syracuse University.
  9. Susanne Schennach, 2012. "Measurement error in nonlinear models- a review," CeMMAP working papers CWP41/12, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  10. Geert Dhaene & Koen Jochmans, 2010. "Split-panel jackknife estimation of fixed-effect models," Sciences Po publications info:hdl:2441/eu4vqp9ompq, Sciences Po.

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