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Semiparametric Binary Choice Panel Data Models without Strictly Exogeneous Regressors

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Author Info
Bo E. Honore (Princeton University)
Arthur Lewbel () (Boston College)

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Abstract

Previous estimators of binary choice panel data models with fixed effects require strong parametric error asumptions, strictly exogeneous regressors, or both. This is because nonlinearity of the model precludes the use of the "moment conditions on differences" based estimators that are generally employed for linear models without strictly exogeneous regressors. Based on the cross section binary choice estimator in Lewbel (2000a), we show how discrete choice panel data models with fixed effects can be estimated with only predetermined regressors. The estimator is semiparametric in that the error distribution is not specified, it allows for some general forms of heteroskedasticity, and converges at rate root n.

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File URL: http://fmwww.bc.edu/EC-P/WP455.pdf
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Publisher Info
Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 455.

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Length: 16 pages
Date of creation: 15 Nov 1998
Date of revision: 22 Sep 2001
Handle: RePEc:boc:bocoec:455

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Related research
Keywords: panel data; fixed effects; binary choice; semiparametric; latent variable; predetermined regressors; lagged dependent variable;

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  1. Maurin, Eric, 2002. "The impact of parental income on early schooling transitions: A re-examination using data over three generations," Journal of Public Economics, Elsevier, vol. 85(3), pages 301-332, September. [Downloadable!] (restricted)
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  2. repec:cup:etheor:v:10:y:1994:i:2:p:372-95 is not listed on IDEAS
  3. Arthur Lewbel, 2000. "Asymptotic Trimming for Bounded Density Plug-in Estimators," Boston College Working Papers in Economics 479, Boston College Department of Economics, revised 30 Oct 2000. [Downloadable!]
  4. Powell, James L & Stock, James H & Stoker, Thomas M, 1989. "Semiparametric Estimation of Index Coefficients," Econometrica, Econometric Society, vol. 57(6), pages 1403-30, November. [Downloadable!] (restricted)
  5. Newey, Whitney K, 1994. "The Asymptotic Variance of Semiparametric Estimators," Econometrica, Econometric Society, vol. 62(6), pages 1349-82, November. [Downloadable!] (restricted)
  6. Heckman, James J & Macurdy, Thomas E, 1980. "A Life Cycle Model of Female Labour Supply," Review of Economic Studies, Blackwell Publishing, vol. 47(1), pages 47-74, January. [Downloadable!] (restricted)
  7. Adams, Robert M & Berger, Allen N & Sickles, Robin C, 1999. "Semiparametric Approaches to Stochastic Panel Frontiers with Applications in the Banking Industry," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(3), pages 349-58, July.
  8. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August. [Downloadable!] (restricted)
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  9. Manski, Charles F, 1987. "Semiparametric Analysis of Random Effects Linear Models from Binary Panel Data," Econometrica, Econometric Society, vol. 55(2), pages 357-62, March. [Downloadable!] (restricted)
  10. Sherman, Robert P., 1994. "U-Processes in the Analysis of a Generalized Semiparametric Regression Estimator," Econometric Theory, Cambridge University Press, vol. 10(02), pages 372-395, June. [Downloadable!]
  11. Arthur Lewbel & Oliver Linton & Daniel McFadden, 1997. "Estimating Features of a Distribution from Binomial Data," Boston College Working Papers in Economics 442, Boston College Department of Economics, revised 04 Sep 2006. [Downloadable!]
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  12. Lewbel, Arthur, 2000. "Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables," Journal of Econometrics, Elsevier, vol. 97(1), pages 145-177, July. [Downloadable!] (restricted)
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  13. Yongmiao Hong & Halbert White, 2005. "Asymptotic Distribution Theory for Nonparametric Entropy Measures of Serial Dependence," Econometrica, Econometric Society, vol. 73(3), pages 837-901, 05. [Downloadable!] (restricted)
  14. Arellano, M & Carrasco, R, 1996. "Binary Choice Panel Data Models with Predetermined Variables," Papers 9618, Centro de Estudios Monetarios Y Financieros-.
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Lechner, Michael & Laisney, François, 2002. "Almost Consistent Estimation of Panel Probit Models with ?Small? Fixed Effects," ZEW Discussion Papers 02-64, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research. [Downloadable!]
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  2. Manuel Arellano, 2003. "Discrete choices with panel data," Investigaciones Economicas, Fundación SEPI, vol. 27(3), pages 423-458, September. [Downloadable!]
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  3. Jose Apesteguia & Ignacio Palacios-Huerta, 2008. "Psychological Pressure in Competitive Environments: Evidence from a Randomized Natural Experiment," Economics Working Papers 1116, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
  4. Xiaohong Chen & James J. Heckman & Edward Vytlacil, 2000. "Identification and SQRT N Efficient Estimation of Semiparametric Panel Data Models with Binary Dependent Variables and a Latent Factor," Econometric Society World Congress 2000 Contributed Papers 1567, Econometric Society. [Downloadable!]
  5. Alban Thomas, 2002. "Consistent estimation of discrete-choice models for panel data with multiplicative effects," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 D6-2, International Conferences on Panel Data. [Downloadable!]
  6. Arthur Lewbel, 1999. "Semiparametric Qualitative Response Model Estimation with Unknown Heteroskedasticity or Instrumental Variables," Boston College Working Papers in Economics 454, Boston College Department of Economics. [Downloadable!]
    Other versions:
  7. Arthur Lewbel, 2000. "Asymptotic Trimming for Bounded Density Plug-in Estimators," Boston College Working Papers in Economics 479, Boston College Department of Economics, revised 30 Oct 2000. [Downloadable!]
  8. M. Fatih Guvenen, 2002. "Does Stockholding Provide Perfect Risk Sharing?," RCER Working Papers 490, University of Rochester - Center for Economic Research (RCER), revised Mar 2003. [Downloadable!]
    Other versions:
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