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GMM for panel count data models

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Author Info
Frank Windmeijer () (Institute for Fiscal Studies and University of Bristol)

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Abstract

This paper gives an account of the recent literature on estimating models for panel count data. Specifically, the treatment of unobserved individual heterogeneity that is correlated with the explanatory variables and the presence of explanatory variables that are not strictly exogenous are central. Moment conditions are discussed for these type of problems that enable estimation of the parameters by GMM. As standard Wald tests based on efficient two-step GMM estimation results are known to have poor finite sample behaviour, alternative test procedures that have recently been proposed in the literature are evaluated by means of a Monte Carlo study.

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Publisher Info
Paper provided by Centre for Microdata Methods and Practice, Institute for Fiscal Studies in its series CeMMAP working papers with number CWP21/06.

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Date of creation: Oct 2006
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Handle: RePEc:ifs:cemmap:21/06

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Related research
Keywords: GMM; exponential models; hypothesis testing;

Other versions of this item:

Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Bond, Stephen & Bowsher, Clive & Windmeijer, Frank, 2001. "Criterion-based inference for GMM in autoregressive panel data models," Economics Letters, Elsevier, vol. 73(3), pages 379-388, December. [Downloadable!] (restricted)
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  2. Blundell, Richard & Griffith, Rachel & van Reenen, John, 1999. "Market Share, Market Value and Innovation in a Panel of British Manufacturing Firms," Review of Economic Studies, Blackwell Publishing, vol. 66(3), pages 529-54, July. [Downloadable!] (restricted)
  3. Martin Schellhorn, 2001. "The effect of variable health insurance deductibles on the demand for physician visits," Health Economics, John Wiley & Sons, Ltd., vol. 10(5), pages 441-456. [Downloadable!]
  4. Hansen, Lars Peter & Heaton, John & Yaron, Amir, 1996. "Finite-Sample Properties of Some Alternative GMM Estimators," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 262-80, July.
  5. Woodridge, J.M., 1991. "Multiplicative Panel Data Models without the Strict Exogeneity Assumption," Working papers 574, Massachusetts Institute of Technology (MIT), Department of Economics.
  6. Wooldridge, J.M., 1990. "Distribution-Free Estimation Of Some Nonlinear Panel Data Models," Working papers 564, Massachusetts Institute of Technology (MIT), Department of Economics.
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  7. Patrik Guggenberger, 2005. "Monte-carlo evidence suggesting a no moment problem of the continuous updating estimator," Economics Bulletin, Economics Bulletin, vol. 3(13), pages 1-6. [Downloadable!]
  8. Whitney K. Newey & Richard J. Smith, 2004. "Higher Order Properties of Gmm and Generalized Empirical Likelihood Estimators," Econometrica, Econometric Society, vol. 72(1), pages 219-255, 01. [Downloadable!] (restricted)
    Other versions:
  9. Frank Windmeijer, 2002. "ExpEnd, A Gauss programme for non-linear GMM estimation of exponential models with endogenous regressors for cross section and panel data," CeMMAP working papers CWP14/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  10. Whitney Newey & Frank Windmeijer, 2005. "GMM with many weak moment conditions," CeMMAP working papers CWP18/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  11. Crepon, Bruno & Duguet, Emmanuel, 1997. "Estimating the Innovation Function from Patent Numbers: GMM on Count Panel Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 243-63, May-June. [Downloadable!]
  12. Newey, Whitney K & West, Kenneth D, 1987. "Hypothesis Testing with Efficient Method of Moments Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(3), pages 777-87, October. [Downloadable!] (restricted)
  13. Ángel Marcos Vera-Hernández, 1999. "Duplicate coverage and demand for health care. The case of Catalonia," Health Economics, John Wiley & Sons, Ltd., vol. 8(7), pages 579-598.
  14. repec:cup:etheor:v:13:y:1997:i:5:p:667-78 is not listed on IDEAS
  15. Manning, Willard G. & Basu, Anirban & Mullahy, John, 2005. "Generalized modeling approaches to risk adjustment of skewed outcomes data," Journal of Health Economics, Elsevier, vol. 24(3), pages 465-488, May. [Downloadable!] (restricted)
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  16. Windmeijer, Frank, 2005. "A finite sample correction for the variance of linear efficient two-step GMM estimators," Journal of Econometrics, Elsevier, vol. 126(1), pages 25-51, May. [Downloadable!] (restricted)
  17. Morgan Kelly, 2000. "Inequality And Crime," The Review of Economics and Statistics, MIT Press, vol. 82(4), pages 530-539, November. [Downloadable!] (restricted)
  18. Andrés Romeu, 2004. "ExpEnd: GAUSS code for panel count-data models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(3), pages 429-434. [Downloadable!]
  19. Blundell, Richard & Griffith, Rachel & Windmeijer, Frank, 2002. "Individual effects and dynamics in count data models," Journal of Econometrics, Elsevier, vol. 108(1), pages 113-131, May. [Downloadable!] (restricted)
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  20. Montalvo, Jose G, 1997. "GMM Estimation of Count-Panel-Data Models with Fixed Effects and Predetermined Instruments," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 82-89, January.
  21. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-38, July. [Downloadable!] (restricted)
    Other versions:
  22. Wooldridge, Jeffrey M., 1997. "Multiplicative Panel Data Models Without the Strict Exogeneity Assumption," Econometric Theory, Cambridge University Press, vol. 13(05), pages 667-678, October. [Downloadable!]
  23. Jinyoung Kim & Gerald Marschke, 2005. "Labor Mobility of Scientists, Technological Diffusion, and the Firm's Patenting Decision," RAND Journal of Economics, The RAND Corporation, vol. 36(2), pages 298-317, Summer.
  24. Windmeijer, Frank, 2000. "Moment conditions for fixed effects count data models with endogenous regressors," Economics Letters, Elsevier, vol. 68(1), pages 21-24, July. [Downloadable!] (restricted)
  25. Windmeijer, F A G & Silva, J M C Santos, 1997. "Endogeneity in Count Data Models: An Application to Demand for Health Care," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 281-94, May-June. [Downloadable!]
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  26. J. M. C. Santos Silva & Silvana Tenreyro, 2006. "The Log of Gravity," The Review of Economics and Statistics, MIT Press, vol. 88(4), pages 641-658, 09. [Downloadable!] (restricted)
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  1. Sascha O. Becker & Peter Egger & Valeria Merlo, 2009. "How Low Business Tax Rates Attract Multinational Headquarters: Municipality-Level Evidence from Germany," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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