IDEAS home Printed from https://ideas.repec.org/p/ifs/cemmap/21-06.html
   My bibliography  Save this paper

GMM for panel count data models

Author

Listed:
  • Frank Windmeijer

    (Institute for Fiscal Studies and University of Bristol)

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.

Suggested Citation

  • Frank Windmeijer, 2006. "GMM for panel count data models," CeMMAP working papers CWP21/06, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  • Handle: RePEc:ifs:cemmap:21/06
    as

    Download full text from publisher

    File URL: http://cemmap.ifs.org.uk/wps/cwp2106.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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, July.
    2. Wooldridge, Jeffrey M., 1999. "Distribution-free estimation of some nonlinear panel data models," Journal of Econometrics, Elsevier, vol. 90(1), pages 77-97, May.
    3. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    4. 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, January.
    5. 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, November.
    6. Chirok Han & Peter C. B. Phillips, 2006. "GMM with Many Moment Conditions," Econometrica, Econometric Society, vol. 74(1), pages 147-192, January.
    7. 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.
    8. 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.
    9. 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 777-787, October.
    10. 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.
    11. 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.
    12. 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.
    13. Robert M. Salomon & J. Myles Shaver, 2005. "Learning by Exporting: New Insights from Examining Firm Innovation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 14(2), pages 431-460, June.
    14. 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.
    15. repec:cup:etheor:v:13:y:1997:i:5:p:667-78 is not listed on IDEAS
    16. 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 281-294, May-June.
    17. 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, November.
    18. Whitney K. 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.
    19. 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 909-938, July.
    20. Stephen Bond & Frank Windmeijer, 2005. "Reliable Inference For Gmm Estimators? Finite Sample Properties Of Alternative Test Procedures In Linear Panel Data Models," Econometric Reviews, Taylor & Francis Journals, vol. 24(1), pages 1-37.
    21. Woodridge, J.M., 1991. "Multiplicative Panel Data Models without the Strict Exogeneity Assumption," Working papers 574, Massachusetts Institute of Technology (MIT), Department of Economics.
    22. Morgan Kelly, 2000. "Inequality And Crime," The Review of Economics and Statistics, MIT Press, vol. 82(4), pages 530-539, November.
    23. Wooldridge, Jeffrey M., 1997. "Multiplicative Panel Data Models Without the Strict Exogeneity Assumption," Econometric Theory, Cambridge University Press, vol. 13(5), pages 667-678, October.
    24. Patrik Guggenberger, 2005. "Monte-carlo evidence suggesting a no moment problem of the continuous updating estimator," Economics Bulletin, AccessEcon, vol. 3(13), pages 1-6.
    25. repec:ebl:ecbull:v:3:y:2005:i:13:p:1-6 is not listed on IDEAS
    26. 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.
    27. 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 262-280, July.
    28. 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 243-263, May-June.
    29. Richard Blundell & Rachel Griffith & John van Reenen, 1999. "Market Share, Market Value and Innovation in a Panel of British Manufacturing Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 529-554.
    30. 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.
    31. Chamberlain, Gary, 1992. "Sequential Moment Restrictions in Panel Data: Comment," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(1), pages 20-26, January.
    32. Windmeijer, Frank, 2000. "Moment conditions for fixed effects count data models with endogenous regressors," Economics Letters, Elsevier, vol. 68(1), pages 21-24, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. GMM and its application outside finance
      by Chris Auld in ChrisAuld.com on 2013-10-22 00:55:38

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Anthony Briant & Pierre-Philippe Combes & Miren Lafourcade, 2014. "Product Complexity, Quality of Institutions and the Protrade Effect of Immigrants," The World Economy, Wiley Blackwell, vol. 37(1), pages 63-85, January.
    2. Balsmeier, Benjamin & Buchwald, Achim & Stiebale, Joel, 2014. "Outside directors on the board and innovative firm performance," Research Policy, Elsevier, vol. 43(10), pages 1800-1815.
    3. Das, Amarendra, 2012. "Who extracts minerals more efficiently—Public or private firms? A study of Indian mining industry," Journal of Policy Modeling, Elsevier, vol. 34(5), pages 755-766.
    4. Yoshitsugu Kitazawa, 2007. "Some additional moment conditions for a dynamic count panel data model," Discussion Papers 29, Kyushu Sangyo University, Faculty of Economics, revised Aug 2008.
    5. repec:hal:spmain:info:hdl:2441/781v6i5nuc9v6okbq7i1iqqsk1 is not listed on IDEAS
    6. Yoshitsugu Kitazawa, 2009. "Equidispersion and moment conditions for count panel data model," Discussion Papers 33, Kyushu Sangyo University, Faculty of Economics.
    7. Yoshitsugu Kitazawa, 2010. "Size of economic activity and occurrence of fatal traffic accidents: a count panel data analysis on Fukuoka prefecture in Japan," Discussion Papers 41, Kyushu Sangyo University, Faculty of Economics.
    8. Suzanna-Maria Paleologou, 2015. "Income and democracy: the modernization hypothesis re-visited via alternative non-linear models," Empirical Economics, Springer, vol. 48(2), pages 909-921, March.
    9. Costantini, Valeria & Crespi, Francesco & Martini, Chiara & Pennacchio, Luca, 2015. "Demand-pull and technology-push public support for eco-innovation: The case of the biofuels sector," Research Policy, Elsevier, vol. 44(3), pages 577-595.
    10. Nikodem Szumilo & Enrico Vanino, 2021. "Are Government and Bank Loans Substitutes or Complements? Evidence from Spatial Discontinuity in Equity Loans," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 49(3), pages 968-996, September.
    11. Lalita Anand & M. Thenmozhi & Nikhil Varaiya & Saumitra Bhadhuri, 2018. "Impact of Macroeconomic Factors on Cash Holdings?: A Dynamic Panel Model," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 17(1_suppl), pages 27-53, April.
    12. Yoshitsugu Kitazawa, 2009. "A negative binomial model and moment conditions for count panel data," Discussion Papers 34, Kyushu Sangyo University, Faculty of Economics.
    13. Haucap, Justus & Rasch, Alexander & Stiebale, Joel, 2019. "How mergers affect innovation: Theory and evidence," International Journal of Industrial Organization, Elsevier, vol. 63(C), pages 283-325.
    14. Yoshitsugu Kitazawa, 2010. "A forward demeaning transformation for a dynamic count panel data model," Discussion Papers 39, Kyushu Sangyo University, Faculty of Economics.
    15. Becker, Sascha & Egger, Peter H & Merlo, Valeria, 2008. "How Low Business Tax Rates Attract Multinational Headquarters: Municipality-Level Evidence from Germany," Stirling Economics Discussion Papers 2008-30, University of Stirling, Division of Economics.
    16. Almodóvar, Paloma & Nguyen, Quyen T.K. & Verbeke, Alain, 2021. "An integrative approach to international inbound sources of firm-level innovation," Journal of World Business, Elsevier, vol. 56(3).
    17. Kam, Oi-Yan & Tse, Chin-Bun, 2020. "The trend of foreign direct investment movement: Did unintended nation brand of legal-families play an instrumental role?," Journal of Business Research, Elsevier, vol. 116(C), pages 745-762.
    18. Pravin K. Trivedi, 2010. "Keynote lecture: Estimation of count-data panel models," Mexican Stata Users' Group Meetings 2010 06, Stata Users Group.
    19. Federici, Daniela & Parisi, Valentino & Ferrante, Francesco, 2020. "Heterogeneous firms, corporate taxes and export behavior: A firm-level investigation for Italy," Economic Modelling, Elsevier, vol. 88(C), pages 98-112.
    20. Daniela Federici & Valentino Parisi & Caroline Elliott, 2015. "Do corporate taxes reduce investments? Evidence from Italian firm-level panel data," Cogent Economics & Finance, Taylor & Francis Journals, vol. 3(1), pages 1012435-101, December.
    21. Peter Egger & Christoph Jeßberger & Mario Larch, 2011. "Trade and investment liberalization as determinants of multilateral environmental agreement membership," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 18(6), pages 605-633, December.
    22. John Inekwe, 2015. "The Contribution of R&D Expenditure to Economic Growth in Developing Economies," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 124(3), pages 727-745, December.
    23. Valeria Costantini & Francesco Crespi & Alessandro Palma, 2015. "Characterizing the policy mix and its impact on eco-innovation in energy-efficient technologies," SEEDS Working Papers 1115, SEEDS, Sustainability Environmental Economics and Dynamics Studies, revised Jun 2015.
    24. Yoshitsugu Kitazawa, 2012. "An improved theoretical ground for the linear feedback model and a new indicator," Discussion Papers 58, Kyushu Sangyo University, Faculty of Economics.
    25. José M. R. Murteira & Mário A. G. Augusto, 2017. "Hurdle models of repayment behaviour in personal loan contracts," Empirical Economics, Springer, vol. 53(2), pages 641-667, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yoshitsugu Kitazawa, 2012. "An improved theoretical ground for the linear feedback model and a new indicator," Discussion Papers 58, Kyushu Sangyo University, Faculty of Economics.
    2. Yoshitsugu Kitazawa, 2007. "Some additional moment conditions for a dynamic count panel data model," Discussion Papers 29, Kyushu Sangyo University, Faculty of Economics, revised Aug 2008.
    3. 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.
    4. Yoshitsugu Kitazawa, 2009. "A negative binomial model and moment conditions for count panel data," Discussion Papers 34, Kyushu Sangyo University, Faculty of Economics.
    5. Wang, Ning & Hagedoorn, John, 2014. "The lag structure of the relationship between patenting and internal R&D revisited," Research Policy, Elsevier, vol. 43(8), pages 1275-1285.
    6. Yoshitsugu Kitazawa, 2009. "Equidispersion and moment conditions for count panel data model," Discussion Papers 33, Kyushu Sangyo University, Faculty of Economics.
    7. Shiferaw Gurmu & Fidel Pérez-Sebastián, 2008. "Patents, R&D and lag effects: evidence from flexible methods for count panel data on manufacturing firms," Empirical Economics, Springer, vol. 35(3), pages 507-526, November.
    8. Almodóvar, Paloma & Nguyen, Quyen T.K. & Verbeke, Alain, 2021. "An integrative approach to international inbound sources of firm-level innovation," Journal of World Business, Elsevier, vol. 56(3).
    9. Yoshitsugu Kitazawa, 2010. "Size of economic activity and occurrence of fatal traffic accidents: a count panel data analysis on Fukuoka prefecture in Japan," Discussion Papers 41, Kyushu Sangyo University, Faculty of Economics.
    10. repec:hal:wpspec:info:hdl:2441/3vl5fe4i569nbr005tctlc8ll5 is not listed on IDEAS
    11. Jochmans, Koen, 2015. "Multiplicative-error models with sample selection," Journal of Econometrics, Elsevier, vol. 184(2), pages 315-327.
    12. repec:hal:spmain:info:hdl:2441/3vl5fe4i569nbr005tctlc8ll5 is not listed on IDEAS
    13. Hwang, Jungbin & Kang, Byunghoon & Lee, Seojeong, 2022. "A doubly corrected robust variance estimator for linear GMM," Journal of Econometrics, Elsevier, vol. 229(2), pages 276-298.
    14. Hayakawa, Kazuhiko, 2019. "Alternative over-identifying restriction test in the GMM estimation of panel data models," Econometrics and Statistics, Elsevier, vol. 10(C), pages 71-95.
    15. Kaiser, Ulrich & Kongsted, Hans Christian & Rønde, Thomas, 2015. "Does the mobility of R&D labor increase innovation?," Journal of Economic Behavior & Organization, Elsevier, vol. 110(C), pages 91-105.
    16. Yoshitsugu Kitazawa, 2010. "A forward demeaning transformation for a dynamic count panel data model," Discussion Papers 39, Kyushu Sangyo University, Faculty of Economics.
    17. Davis, James C. & Henderson, J. Vernon, 2008. "The agglomeration of headquarters," Regional Science and Urban Economics, Elsevier, vol. 38(5), pages 445-460, September.
    18. Peter H. Egger & Christoph Jessberger & Mario Larch, 2013. "Impacts of Trade and the Environment on Clustered Multilateral Environmental Agreements," The World Economy, Wiley Blackwell, vol. 36(3), pages 331-348, March.
    19. Peter Egger & Christoph Jeßberger & Mario Larch, 2011. "Trade and investment liberalization as determinants of multilateral environmental agreement membership," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 18(6), pages 605-633, December.
    20. Uchida, Yuichiro & Cook, Paul, 2005. "Innovation and Market Structure in the Manufacturing Sector: An Application of Linear Feedback Models," Centre on Regulation and Competition (CRC) Working papers 30702, University of Manchester, Institute for Development Policy and Management (IDPM).
    21. Sheng-Pin Hsueh & Wei-Ming Lee, 2012. "A revisit to the relationship between patents and R&D using empirical likelihood estimation," Economics Bulletin, AccessEcon, vol. 32(2), pages 1208-1214.
    22. Stefan Boes, 2010. "Count Data Models with Correlated Unobserved Heterogeneity," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 37(3), pages 382-402, September.

    More about this item

    Keywords

    GMM; exponential models; hypothesis testing;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ifs:cemmap:21/06. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Emma Hyman (email available below). General contact details of provider: https://edirc.repec.org/data/cmifsuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.