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Semiparametric Estimation of Regression Models for Panel Data

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Author Info
Horowitz, Joel L
Markatou, Marianthi
Abstract

Linear models with error components are widely used to analyze panel data. Some applications of these models require knowledge of the probability densities of the error components. Existing methods handle this requirement by assuming that the densities belong to known parametric families of distributions (typically the normal distribution). This paper shows how to carry out nonparametric estimation of the densities of the error components, thereby avoiding the assumption that the densities belong to known parametric families. The nonparametric estimators are applied to an earnings model using data from the Current Population Survey. The model's transitory error component is not normally distributed. Use of the nonparametric density estimators yields estimates of the probability that individuals with low earnings will become high earners in the future that are much lower than the estimates obtained under the assumption of normally distributed error components. Copyright 1996 by The Review of Economic Studies Limited.

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Publisher Info
Article provided by Blackwell Publishing in its journal Review of Economic Studies.

Volume (Year): 63 (1996)
Issue (Month): 1 (January)
Pages: 145-68
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Handle: RePEc:bla:restud:v:63:y:1996:i:1:p:145-68

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  1. Javier Alvarez & Manuel Arellano, 2004. "Robust Likelihood Estimation Of Dynamic Panel Data Models," Working Papers wp2004_0421, CEMFI. [Downloadable!]
  2. Manuel Arellano & Stéphane Bonhomme, 2009. "Identifying distributional characteristics in random coefficients panel data models," CeMMAP working papers CWP22/09, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
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  3. Yingyao Hu & Geert Ridder, 2005. "On Deconvolution as a First Stage Nonparametric Estimator," IEPR Working Papers 05.29, Institute of Economic Policy Research (IEPR). [Downloadable!]
  4. Oliver Linton & Yoon-Jae Whang, 2000. "Nonparametric Estimation with Aggregated Data," STICERD - Econometrics Paper Series /2000/397, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  5. Yingyao Hu & Geert Ridder, 2005. "Estimation of Nonlinear Models with Mismeasured Regressors Using Marginal Information," IEPR Working Papers 05.39, Institute of Economic Policy Research (IEPR). [Downloadable!]
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  6. Xiaohong Chen & Yingyao Hu, 2006. "Identification and Inference of Nonlinear Models Using Two Samples with Arbitrary Measurement Errors," Cowles Foundation Discussion Papers 1590, Cowles Foundation, Yale University. [Downloadable!]
  7. Stéphane Bonhomme & Jean-Marc Robin, 2008. "Generalized nonparametric deconvolution with an application to earnings dynamics," CeMMAP working papers CWP03/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  8. Magnac, Thierry & Roux, Sébastien, 2007. "Dynamique des salaires dans une cohorte," IDEI Working Papers 436, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
  9. Laura Hospido, 2007. "Modelling heterogeneity and dynamics in the volatility of individual wages," Banco de España Working Papers 0738, Banco de España. [Downloadable!]
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  10. William C. Horrace & Christopher F. Parmeter, 2008. "Semiparametric Deconvolution with Unknown Error Variance," Center for Policy Research Working Papers 104, Center for Policy Research, Maxwell School, Syracuse University. [Downloadable!]
  11. Geert Ridder & Yingyao Hu, 2004. "Estimation of Nonlinear Models with Measurement Error Using Marginal Information," Econometric Society 2004 North American Summer Meetings 21, Econometric Society. [Downloadable!]
  12. Walter Sosa-Escudero & Mariana Marchionni & Omar Arias, 2006. "Sources of Income Persistence: Evidence from Rural El Salvador," Working Papers 0037, CEDLAS, Universidad Nacional de La Plata. [Downloadable!]
  13. Byeong Park & Robin C. Sickles & Leopold Simar, 2000. "Semiparametric Efficient Estimation of AR(1) Panel Data Models," Econometric Society World Congress 2000 Contributed Papers 1510, Econometric Society. [Downloadable!]
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  14. Carrasco, Marine & Florens, Jean-Pierre, 2002. "Spectral Method for Deconvolving a Density," IDEI Working Papers 138, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
  15. Erich Battistin, 2002. "Errors in Survey Reports of Consumption Expenditures," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 C4-2, International Conferences on Panel Data. [Downloadable!]
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  16. Isabel Proenca, 2005. "A Simple Deconvolving Kernel Density Estimator when Noise is Gaussian," Econometrics 0508006, EconWPA. [Downloadable!]
  17. Susanne M. Schennach, 2004. "Instrumental Variable Estimation of Nonlinear Errors-in-Variables Models," Econometric Society 2004 North American Summer Meetings 602, Econometric Society. [Downloadable!]
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