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Generalized nonparametric deconvolution with an application to earnings dynamics

  • Stéphane Bonhomme


    (Institute for Fiscal Studies and University of Chicago)

  • Jean-Marc Robin


    (Institute for Fiscal Studies and cemmap and Sciences Po)

In this paper,we construct a nonparametric estimator of the distributions of latent factors in linear independent multi-factor models under the assumption that factor loadings are known. Our approach allows to estimate the distributions of up to L(L+1)/2 factors given L measurements. The estimator works through empirical characteristic functions. We show that it is consistent, and derive asymptotic convergence rates. Monte-Carlo simulations show good finite-sample performance, less so if distributions are highly skewed or leptokurtic. We finally apply the generalized deconvolution procedure to decompose individual log earnings from the PSID into permanent and transitory components.

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Paper provided by Centre for Microdata Methods and Practice, Institute for Fiscal Studies in its series CeMMAP working papers with number CWP03/08.

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Date of creation: Feb 2008
Date of revision:
Handle: RePEc:ifs:cemmap:03/08
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  1. Abowd, John M & Card, David, 1989. "On the Covariance Structure of Earnings and Hours Changes," Econometrica, Econometric Society, vol. 57(2), pages 411-45, March.
  2. Jean-Marc Robin & Stéphane Bonhomme, 2009. "Consistent Noisy Independent Component Analysis," Sciences Po publications info:hdl:2441/eu4vqp9ompq, Sciences Po.
  3. Horowitz, Joel L & Markatou, Marianthi, 1996. "Semiparametric Estimation of Regression Models for Panel Data," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 145-68, January.
  4. Gianluca Violante & Greg Kaplan, 2008. "How Much Insurance in Bewley Models?," 2008 Meeting Papers 522, Society for Economic Dynamics.
  5. Fatih Guvenen, 2005. "Learning Your Earning: Are Labor Income Shocks Really Very Persistent?," Macroeconomics 0507004, EconWPA.
  6. A. Delaigle & I. Gijbels, 2002. "Estimation of integrated squared density derivatives from a contaminated sample," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 869-886.
  7. Fatih Guvenen, 2007. "An Empirical Investigation of Labor Income Processes," NBER Working Papers 13394, National Bureau of Economic Research, Inc.
  8. Lee A. Lillard & Robert J. Willis, 1976. "Dynamic Aspects of Earnings Mobility," NBER Working Papers 0150, National Bureau of Economic Research, Inc.
  9. Li, Tong, 2002. "Robust and consistent estimation of nonlinear errors-in-variables models," Journal of Econometrics, Elsevier, vol. 110(1), pages 1-26, September.
  10. Keisuke Hirano, 2002. "Semiparametric Bayesian Inference in Autoregressive Panel Data Models," Econometrica, Econometric Society, vol. 70(2), pages 781-799, March.
  11. Geweke, John & Keane, Michael, 2007. "Smoothly mixing regressions," Journal of Econometrics, Elsevier, vol. 138(1), pages 252-290, May.
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  13. Meghir, Costas & Pistaferri, Luigi, 2002. "Income Variance Dynamics and Heterogeneity," CEPR Discussion Papers 3632, C.E.P.R. Discussion Papers.
  14. Li, Tong & Vuong, Quang, 1998. "Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators," Journal of Multivariate Analysis, Elsevier, vol. 65(2), pages 139-165, May.
  15. Geweke, John & Keane, Michael, 2000. "An empirical analysis of earnings dynamics among men in the PSID: 1968-1989," Journal of Econometrics, Elsevier, vol. 96(2), pages 293-356, June.
  16. Peter Hall & Qiwei Yao, 2003. "Inference in components of variance models with low replication," LSE Research Online Documents on Economics 17701, London School of Economics and Political Science, LSE Library.
  17. Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, 01.
  18. Brown, James N & Light, Audrey, 1992. "Interpreting Panel Data on Job Tenure," Journal of Labor Economics, University of Chicago Press, vol. 10(3), pages 219-57, July.
  19. Joel L. Horowitz & Marianthi Markatou, 1993. "Semiparametric Estimation Of Regression Models For Panel Data," Econometrics 9309001, EconWPA.
  20. Chamberlain, Gary, 1984. "Panel data," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 22, pages 1247-1318 Elsevier.
  21. Schennach, Susanne M., 2004. "Nonparametric Regression In The Presence Of Measurement Error," Econometric Theory, Cambridge University Press, vol. 20(06), pages 1046-1093, December.
  22. Hall, Robert E & Mishkin, Frederic S, 1982. "The Sensitivity of Consumption to Transitory Income: Estimates from Panel Data on Households," Econometrica, Econometric Society, vol. 50(2), pages 461-81, March.
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