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Transformations and moment conditions for dynamic fixed effects logit models

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  • Kitazawa, Yoshitsugu

Abstract

This study proposes transformations for dynamic fixed effects logit models. First, these transformations construct valid moment conditions for the case with neither explanatory variables nor time dummies. Using valid moment conditions, we can obtain the first-order condition of the conditional maximum likelihood estimator proposed by Chamberlain (1985). Next, we derive valid moment conditions based on the transformations for the cases with strictly exogenous continuous explanatory variables and/or time dummies when the number of time periods is four or more. Transformations of these moment conditions exactly coincide with a subset of those obtained by Honoré and Weidner (2020) using the functional differencing approach proposed by Bonhomme (2012).

Suggested Citation

  • Kitazawa, Yoshitsugu, 2022. "Transformations and moment conditions for dynamic fixed effects logit models," Journal of Econometrics, Elsevier, vol. 229(2), pages 350-362.
    • Handle: RePEc:eee:econom:v:229:y:2022:i:2:p:350-362
    DOI: 10.1016/j.jeconom.2021.01.007
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    References listed on IDEAS

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    5. Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 225-238.
    6. 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.
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    9. Majid M. Al-Sadoon & Tong Li & M. Hashem Pesaran, 2017. "Exponential class of dynamic binary choice panel data models with fixed effects," Econometric Reviews, Taylor & Francis Journals, vol. 36(6-9), pages 898-927, October.
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    Cited by:

    1. Kevin Dano, 2023. "Transition Probabilities and Moment Restrictions in Dynamic Fixed Effects Logit Models," Papers 2303.00083, arXiv.org, revised Dec 2023.

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    More about this item

    Keywords

    Dynamic fixed effects logit models; Strictly exogenous continuous explanatory variables; Time dummies; Moment conditions;
    All these keywords.

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation

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