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Panel Binary Variables and Sufficiency: Generalizing Conditional Logit

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  • Thierry Magnac

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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Bibliographic Info

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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  1. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09ij4j0h0h1 is not listed on IDEAS
  2. Bartolucci, Francesco & Nigro, Valentina, 2012. "Pseudo conditional maximum likelihood estimation of the dynamic logit model for binary panel data," Journal of Econometrics, Elsevier, vol. 170(1), pages 102-116.
  3. Francesco Bartolucci & Valentina Nigro, 2010. "A Dynamic Model for Binary Panel Data With Unobserved Heterogeneity Admitting a √n-Consistent Conditional Estimator," Econometrica, Econometric Society, vol. 78(2), pages 719-733, 03.
  4. Albrecht, James & van den Berg, Gerard J & Vroman, Susan, 2004. "The knowledge lift: The Swedish adult education program that aimed to eliminate low worker skill levels," Working Paper Series 2004:17, IFAU - Institute for Evaluation of Labour Market and Education Policy.
  5. Majid M. Al-Sadoon & Tong Li & M. Hashem Pesaran, 2012. "An Exponential Class of Dynamic Binary Choice Panel Data Models with Fixed Effects," CESifo Working Paper Series 4033, CESifo Group Munich.
  6. Timothy J. Halliday, 2006. "Testing for State Dependence with Time-Variant Transition Probabilities," Working Papers 200614, University of Hawaii at Manoa, Department of Economics.
  7. DHAENE, Geert & JOCHMANS, Koen, 2010. "Split-panel jackknife estimation of fixed-effect models," CORE Discussion Papers 2010003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Wladimir Raymond & Pierre Mohnen & Franz Palm & Sybrand Schim van der Loeff, 2007. "The Behavior of the Maximum Likelihood Estimator of Dynamic Panel Data Sample Selection Models," CESifo Working Paper Series 1992, CESifo Group Munich.
  9. Timothy Halliday, 2006. "Identifying State Dependence in Non-Stationary Processes," Working Papers 200601, University of Hawaii at Manoa, Department of Economics.
  10. Hyytinen, Ari & Pajarinen, Mika, 2008. "Opacity of young businesses: Evidence from rating disagreements," Journal of Banking & Finance, Elsevier, vol. 32(7), pages 1234-1241, July.
  11. 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.

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