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

Published online by Cambridge University Press:  11 February 2009

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.

Type
Brief Report
Copyright
Copyright © Cambridge University Press 1997

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References

REFERENCES

Andersen, E. (1970) Asymptotic properties of conditional maximum likelihood estimators. Journal of the Royal Statistical Society B 32, 283301.Google Scholar
Bickel, P., C.Klaassen, A.J., Ritov, Y., & Wellner, J.A. (1993) Efficient and Adaptive Estimation for Semiparametric Models. Baltimore, Maryland: Johns Hopkins University Press.Google Scholar
Hahn, J. (1994) The efficiency bound of the mixed proportional hazard model. Review of Economic Studies 61, 607629.CrossRefGoogle Scholar
Ibragimov, LA. & Has, R.Z.'minskii (1981) Statistical Estimation: Asymptotic Theory. New York: Springer-Verlag.Google Scholar
Newey, W.K. (1990) Semiparametric efficiency bounds. Journal of Applied Econometrics 5, 99135.10.1002/jae.3950050202CrossRefGoogle Scholar
Pfanzagl, J. (1990) Estimation in Semiparametric Models: Lecture Notes in Statistics, vol. 63, Berlin: Springer-Verlag.CrossRefGoogle Scholar
van der Vaart, A.W. (1988) Statistical Estimation in Large Parameter Spaces. CWI Tract 44. Amsterdam: Centrum voor Wiskunde en Informatica.Google Scholar
Wooldridge, J. (1990) Distribution-free estimation of some nonlinear panel data models. Unpublished manuscript.Google Scholar