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Consistent estimation of discrete-choice models for panel data with multiplicative effects

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  • Alban Thomas

    ()
    (LEERNA-INRA, Université des Sciences Sociales de Toulouse)

Abstract

This paper presents an extension to the fixed-effect Logit for panel-data discrete-choice models, where the error component structure is multiplicative (individual effects multiplied by time effects). In linear models with such an error-component structure as investigated by Ahn, Lee and Schmidt (2001), usual fixed-effect estimators are generally inconsistent. We propose a conditional Logit estimator based on a different sufficient statistic, for the case where multiplicative time effects are known. When not the case, we discuss the implementation of the Modified Profile Likelihood based on a transformation of incidental parameters. The last estimator is an extension of Honoré and Lewbel (2000) semiparametric estimator. We investigate small sample properties of these estimators with a Monte Carlo experiment.

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Bibliographic Info

Paper provided by International Conferences on Panel Data in its series 10th International Conference on Panel Data, Berlin, July 5-6, 2002 with number D6-2.

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Date of creation: Mar 2002
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Handle: RePEc:cpd:pd2002:d6-2

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  1. 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.
  2. Crepon, Bruno & Kramarz, Francis & Trognon, Alain, 1997. "Parameters of interest, nuisance parameters and orthogonality conditions An application to autoregressive error component models," Journal of Econometrics, Elsevier, vol. 82(1), pages 135-156.
  3. Hsiao, C., 1992. "Logit and Probit Models," Papers 9210, Southern California - Department of Economics.
  4. Manuel Arellano, 2003. "Discrete choices with panel data," Investigaciones Economicas, Fundación SEPI, vol. 27(3), pages 423-458, September.
  5. Bo E. Honore & Arthur Lewbel, 1998. "Semiparametric Binary Choice Panel Data Models without Strictly Exogeneous Regressors," Boston College Working Papers in Economics 455, Boston College Department of Economics, revised 22 Sep 2001.
  6. Thierry Magnac, 2002. "Binary variables and fixed effects: generalizing conditional logit," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 D6-4, International Conferences on Panel Data.
  7. Ahn, Seung Chan & Hoon Lee, Young & Schmidt, Peter, 2001. "GMM estimation of linear panel data models with time-varying individual effects," Journal of Econometrics, Elsevier, vol. 101(2), pages 219-255, April.
  8. Holtz-Eakin, Douglas & Newey, Whitney & Rosen, Harvey S, 1988. "Estimating Vector Autoregressions with Panel Data," Econometrica, Econometric Society, vol. 56(6), pages 1371-95, November.
  9. Lancaster, Tony, 2002. "Orthogonal Parameters and Panel Data," Review of Economic Studies, Wiley Blackwell, vol. 69(3), pages 647-66, July.
  10. Bertschek, Irene & Lechner, Michael, 1995. "Convenient Estimators for the Panel Probit Model," Discussion Papers 528, Institut fuer Volkswirtschaftslehre und Statistik, Abteilung fuer Volkswirtschaftslehre.
  11. Manski, Charles F., 1985. "Semiparametric analysis of discrete response : Asymptotic properties of the maximum score estimator," Journal of Econometrics, Elsevier, vol. 27(3), pages 313-333, March.
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Cited by:
  1. Anders Frederiksen & Bo E. Honoré & Luojia Hu, 2006. "Discrete Time Duration Models with Group-level Heterogeneity," Discussion Papers 05-008, Stanford Institute for Economic Policy Research.
  2. Michael Lechner & Stefan Lollivier & Thierry Magnac, 2005. "Parametric Binary Choice Models," University of St. Gallen Department of Economics working paper series 2005 2005-23, Department of Economics, University of St. Gallen.

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