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Panel Binary Variables and Sufficiency: Generalizing Conditional Logit

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Thierry Magnac

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Abstract

This paper extends the conditional logit approach (Rasch, Andersen, Chamberlain) used in panel data models of binary variables with correlated fixed effects and strictly exogenous regressors. In a two-period two-state model, necessary and sufficient conditions on the joint distribution function of the individual-and-period specific shocks are given such that the sum of individual binary variables across time is a sufficient statistic for the individual effect. By extending a result of Chamberlain, it is shown that root-n consistent regular estimators can be constructed in panel binary models if and only if the property of sufficiency holds. In applied work, the estimation method amounts to quasi-differencing the binary variables as if they were continuous variables and transforming a panel data model into a cross-section model. Semiparametric approaches can then be readily applied. Copyright The Econometric Society 2004.

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File URL: http://hdl.handle.net/10.1111/j.1468-0262.2004.00556.x
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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 72 (2004)
Issue (Month): 6 (November)
Pages: 1859-1876
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Handle: RePEc:ecm:emetrp:v:72:y:2004:i:6:p:1859-1876

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References listed on IDEAS
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. 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!]
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  2. Bo E. Honoré & Ekaterini Kyriazidou, 2000. "Panel Data Discrete Choice Models with Lagged Dependent Variables," Econometrica, Econometric Society, vol. 68(4), pages 839-874, July.
  3. Ekaterini Kyriazidou, 1997. "Estimation of a Panel Data Sample Selection Model," Econometrica, Econometric Society, vol. 65(6), pages 1335-1364, November.
  4. 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)
  5. 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. [Downloadable!] (restricted)
  6. Thierry Magnac, 2002. "Panel Binary Variables and Individual Effects : Generalizing Conditional Logit," Working Papers 2002-18, Centre de Recherche en Economie et Statistique. [Downloadable!]
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Cited by:
(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. Timothy Halliday, 2006. "Identifying State Dependence in Non-Stationary Processes," Working Papers 200601, University of Hawaii at Manoa, Department of Economics. [Downloadable!]
  2. Mohnen, Pierre & Raymond, Wladimir & Palm, Franz & Schim van der Loeff, Sybrand, 2007. "The Behavior of the Maximum Likelihood Estimator of Dynamic Panel Data Sample Selection Models," UNU-MERIT Working Paper Series 007, United Nations University, Maastricht Economic and social Research and training centre on Innovation and Technology. [Downloadable!]
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  3. Timothy J. Halliday, 2006. "Testing for State Dependence with Time-Variant Transition Probabilities," Working Papers 200614, University of Hawaii at Manoa, Department of Economics. [Downloadable!]
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  4. Francesco Bartolucci† & Valentina Nigro, 2007. "A dynamic model for binary panel data with unobserved heterogeneity admitting a Vn-consistent conditional estimator," CEIS Research Paper 97, Tor Vergata University, CEIS. [Downloadable!]
  5. Albrecht, James & van den Berg, Gerard J. & Vroman, Susan, 2005. "The Knowledge Lift: The Swedish Adult Education Program That Aimed to Eliminate Low Worker Skill Levels," IZA Discussion Papers 1503, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
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