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Exploration of dynamic fixed effects logit models from a traditional angle

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  • Yoshitsugu Kitazawa

    (Faculty of Economics, Kyushu Sangyo University)

Abstract

This paper proposes the transformations for the dynamic fixed effects logit models. Firstly, the transformations construct the valid moment conditions (including the stationarity moment conditions) for the case without explanatory variable. Combining portions of the valid moment conditions gives just the first-order condition of the conditional MLE proposed by Chamberlain (1985). Next, the valid moment conditions are constructed by using the transformations for the case with strictly exogenous continuous explanatory variables, when the number of time periods is greater than or equal to four. This implies that for the dynamic fixed effects logit model with strictly exogenous continuous explanatory variables, the estimators can be constructed which are consistent and asymptotically normal and whose convergence rates equal the inverse of the square root of the cross-sectional sample size. In addition, the small sample properties of the GMM estimators using these moment conditions are investigated by using Monte Carlo experiments.

Suggested Citation

  • Yoshitsugu Kitazawa, 2013. "Exploration of dynamic fixed effects logit models from a traditional angle," Discussion Papers 60, Kyushu Sangyo University, Faculty of Economics.
    • Handle: RePEc:kyu:dpaper:60
    as

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    File URL: http://www.ip.kyusan-u.ac.jp/keizai-kiyo/dp60.pdf
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    References listed on IDEAS

    as
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    Citations

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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.
    2. Yoshitsugu Kitazawa, 2017. "DFEL-RTN, a set of TSP programs for root-N consistent estimations of dynamic fixed effects logit models," Discussion Papers 81, Kyushu Sangyo University, Faculty of Economics.
    3. Bo E. Honoré & Luojia Hu & Ekaterini Kyriazidou & Martin Weidner, 2023. "Simultaneity in binary outcome models with an application to employment for couples," Empirical Economics, Springer, vol. 64(6), pages 3197-3233, June.
    4. Bo E Honoré & Áureo de Paula, 2021. "Identification in simple binary outcome panel data models," The Econometrics Journal, Royal Economic Society, vol. 24(2), pages 78-93.
    5. Bo E. Honoré & Martin Weidner, 2021. "Moment Conditions for Dynamic Panel Logit Models with Fixed Effects," Working Papers 2021-79, Princeton University. Economics Department..
    6. Bo E. Honoré & Martin Weidner, 2020. "Moment Conditions for Dynamic Panel Logit Models with Fixed Effects," CeMMAP working papers CWP38/20, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    7. Geert Dhaene & Martin Weidner, 2023. "Approximate Functional Differencing," Papers 2301.13736, arXiv.org, revised May 2023.
    8. Hugo Kruiniger, 2021. "Root-n-consistent Conditional ML estimation of dynamic panel logit models with fixed effects," Papers 2103.04973, arXiv.org, revised Apr 2021.

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    More about this item

    Keywords

    dynamic fixed effects logit models; moment conditions; stationarity; strictly exogenous continuous explanatory variables; root-N consistent estimators; Monte Carlo experiments;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

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