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A Note on the Efficient Semiparametric Estimation of Some Exponential Panel Models

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  • Hahn, Jinyong

Abstract

This paper investigates the semiparametric efficiency of the conditional maximum likelihood estimation in some panel models. The nonparametric component of the model is the unknown distribution of the fixed effect. For the exponential panel model, there exists a complete sufficient statistic for the fixed effect. When the complete sufficient statistic does not depend on the parameter of interest, the conditional maximum likelihood estimator (CMLE) achieves the semiparametric efficiency bound. In particular, the CMLE is semiparametrically efficient for the panel Poisson regression model and the panel negative binomial model.

Suggested Citation

  • Hahn, Jinyong, 1997. "A Note on the Efficient Semiparametric Estimation of Some Exponential Panel Models," Econometric Theory, Cambridge University Press, vol. 13(4), pages 583-588, February.
    • Handle: RePEc:cup:etheor:v:13:y:1997:i:04:p:583-588_00
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    Cited by:

    1. Geert Dhaene & Koen Jochmans, 2011. "Profile-score Adjustements for Nonlinearfixed-effect Models," Working Papers hal-01073733, HAL.
    2. Otilia Boldea & Bettina Drepper & Zhuojiong Gan, 2020. "Change point estimation in panel data with time‐varying individual effects," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 35(6), pages 712-727, September.
    3. Dahlberg, Matz & Lundin, Douglas, 2005. "Antidepressants and the Suicide Rate: Is There Really a Connection?," Working Paper Series 2005:4, Uppsala University, Department of Economics.
    4. Bo E. Honor'e & Chris Muris & Martin Weidner, 2021. "Dynamic Ordered Panel Logit Models," Papers 2107.03253, arXiv.org, revised Apr 2024.
    5. Geert Dhaene & Koen Jochmans, 2015. "Profile-score adjustments for incidental-parameter problems," Sciences Po publications info:hdl:2441/323dml6suu9, Sciences Po.
    6. repec:spo:wpmain:info:hdl:2441/eu4vqp9ompqllr09j0031f620 is not listed on IDEAS
    7. Schumann, Martin & Severini, Thomas A. & Tripathi, Gautam, 2023. "The role of score and information bias in panel data likelihoods," Journal of Econometrics, Elsevier, vol. 235(2), pages 1215-1238.
    8. Geert Dhaene & Koen Jochmans, 2011. "Profile-score Adjustements for Nonlinearfixed-effect Models," Working Papers hal-01073733, HAL.
    9. Geert Dhaene & Koen Jochmans, 2015. "Profile-score adjustments for incidental-parameter problems," Working Papers hal-03460016, HAL.
    10. Laurent Davezies & Xavier D'Haultfœuille & Martin Mugnier, 2023. "Fixed‐effects binary choice models with three or more periods," Quantitative Economics, Econometric Society, vol. 14(3), pages 1105-1132, July.
    11. repec:hal:spmain:info:hdl:2441/323dml6suu9mb9otmuenjljv9a is not listed on IDEAS
    12. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09j0031f620 is not listed on IDEAS
    13. Laurent Davezies & Xavier D'Haultf{oe}uille & Louise Laage, 2021. "Identification and Estimation of Average Causal Effects in Fixed Effects Logit Models," Papers 2105.00879, arXiv.org, revised Dec 2024.
    14. Nicholas Brown & Jeffrey Wooldridge, 2023. "More Efficient Estimation of Multiplicative Panel Data Models in the Presence of Serial Correlation," Working Paper 1497, Economics Department, Queen's University.
    15. Martins, Igor, 2019. "An Act for the Abolition of the Slave Trade: The Effects of an Import Ban on Cape Colony Slaveholders," African Economic History Working Paper 43/2019, African Economic History Network.
    16. Wooldridge, Jeffrey M., 1999. "Distribution-free estimation of some nonlinear panel data models," Journal of Econometrics, Elsevier, vol. 90(1), pages 77-97, May.
    17. Nicholas Brown, 2023. "Information Equivalence among Transformations of Semi‐parametric Nonlinear Panel Data Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 85(6), pages 1341-1361, December.
    18. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09j0031f620 is not listed on IDEAS
    19. Lindvall, Lars, 2003. "Does Public Spending on Youths Affect Crime Rates?," Working Paper Series 2004:3, Uppsala University, Department of Economics.
    20. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09j0031f620 is not listed on IDEAS

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