IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v99y2008i3p585-590.html
   My bibliography  Save this article

Functional forms for the negative binomial model for count data

Author

Listed:
  • Greene, William

Abstract

This note develops an encompassing model for two well known variants of the negative binomial model (the NB1 and NB2 forms). We conclude with an application of the proposed model using the data employed in a recent health care study.

Suggested Citation

  • Greene, William, 2008. "Functional forms for the negative binomial model for count data," Economics Letters, Elsevier, vol. 99(3), pages 585-590, June.
  • Handle: RePEc:eee:ecolet:v:99:y:2008:i:3:p:585-590
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1765(07)00384-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Wang, Peiming & Cockburn, Iain M & Puterman, Martin L, 1998. "Analysis of Patent Data--A Mixed-Poisson-Regression-Model Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(1), pages 27-41, January.
    2. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-720, May.
    3. Paul Contoyannis & Andrew M. Jones & Nigel Rice, 2004. "The dynamics of health in the British Household Panel Survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(4), pages 473-503.
    4. Winkelmann, Rainer & Zimmermann, Klaus F, 1995. "Recent Developments in Count Data Modelling: Theory and Application," Journal of Economic Surveys, Wiley Blackwell, vol. 9(1), pages 1-24, March.
    5. Murat K. Munkin & Pravin K. Trivedi, 1999. "Simulated maximum likelihood estimation of multivariate mixed-Poisson regression models, with application," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 29-48.
    6. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    7. A. Colin Cameron & Pravin K. Trivedi, 1986. "Econometric models based on count data. Comparisons and applications of some estimators and tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(1), pages 29-53, January.
    8. Cameron, A. Colin & Trivedi, Pravin K., 1990. "Regression-based tests for overdispersion in the Poisson model," Journal of Econometrics, Elsevier, vol. 46(3), pages 347-364, December.
    9. Andreas Million & Regina T. Riphahn & Achim Wambach, 2003. "Incentive effects in the demand for health care: a bivariate panel count data estimation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(4), pages 387-405.
    10. 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.
    11. Marcus Asplund & Rickard Sandin, 1999. "The Number of Firms and Production Capacity in Relation to Market Size," Journal of Industrial Economics, Wiley Blackwell, vol. 47(1), pages 69-85, March.
    12. Peiming Wang & Iain Cockburn & Martin L. Puterman, "undated". "A Mixed Poisson Regression Model for Analysis of Patent Data," Computing in Economics and Finance 1996 _049, Society for Computational Economics.
    13. Winkelmann, Rainer & Zimmermann, Klaus F., 1991. "A new approach for modeling economic count data," Economics Letters, Elsevier, vol. 37(2), pages 139-143, October.
    14. Gary King, 1989. "A Seemingly Unrelated Poisson Regression Model," Sociological Methods & Research, , vol. 17(3), pages 235-255, February.
    Full references (including those not matched with items on IDEAS)

    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. Greene, William, 2007. "Functional Form and Heterogeneity in Models for Count Data," Foundations and Trends(R) in Econometrics, now publishers, vol. 1(2), pages 113-218, August.
    2. William Greene, 2007. "Correlation in Bivariate Poisson Regression Model," Working Papers 07-14, New York University, Leonard N. Stern School of Business, Department of Economics.
    3. William Greene, 2009. "Models for count data with endogenous participation," Empirical Economics, Springer, vol. 36(1), pages 133-173, February.
    4. Canan GÜNEŞ & Mustafa ÜNLÜ & Yasin BÜYÜKKÖR & Şenay ÜÇDOĞRUK BİRECİKLİ, 2016. "Türkiye’de Sağlık Hizmetleri Talebinin Sayma Veri Modelleriyle İncelenmesi: İçsellik Sorunu," Sosyoekonomi Journal, Sosyoekonomi Society, issue 24(30).
    5. William Greene, 2007. "Discrete Choice Modeling," Working Papers 07-6, New York University, Leonard N. Stern School of Business, Department of Economics.
    6. KENNETH C. LAND & PATRICIA L. McCALL & DANIEL S. NAGIN, 1996. "A Comparison of Poisson, Negative Binomial, and Semiparametric Mixed Poisson Regression Models," Sociological Methods & Research, , vol. 24(4), pages 387-442, May.
    7. V. J. Cano Fernandez & G. Guirao Perez & M. C. Rodriguez Donate & M. E. Romero Rodriguez, 2009. "An analysis of count data models for the study of exclusivity in wine consumption," Applied Economics, Taylor & Francis Journals, vol. 41(12), pages 1563-1574.
    8. Konstantinos Drakos & Andreas Gofas, 2006. "In Search Of The Average Transnational Terrorist Attack Venue," Defence and Peace Economics, Taylor & Francis Journals, vol. 17(2), pages 73-93.
    9. Bauer, Thomas K. & Million, Andreas & Rotte, Ralph & Zimmermann, Klaus F., 1998. "Immigration Labor and Workplace Safety," IZA Discussion Papers 16, Institute of Labor Economics (IZA).
    10. Margarita E. Romero Rodríguez & Enrique Los Arcos & Victor Cano Fernández & Miguel Sánchez Padrón, 2001. "Modelo para datos de recuentro de corte transversal con exceso de ceros. Aplicación a citas patentes," Documentos de trabajo conjunto ULL-ULPGC 2001-05, Facultad de Ciencias Económicas de la ULPGC.
    11. Dohse, Dirk & Schertler, Andrea, 2003. "Explaining the regional distribution of new economy firms: a count data analysis," Kiel Working Papers 1193, Kiel Institute for the World Economy (IfW Kiel).
    12. Leila Tahmooresnejad & Catherine Beaudry & Andrea Schiffauerova, 2015. "The role of public funding in nanotechnology scientific production: Where Canada stands in comparison to the United States," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(1), pages 753-787, January.
    13. Óscar Lourenço & Carlota Quintal & Pedro Lopes Ferreira & Pedro Pita Barros, 2007. "A equidade na utilização de cuidados de saúde em Portugal: Uma avaliação baseada em modelos de contagem," Notas Económicas, Faculty of Economics, University of Coimbra, issue 25, pages 6-26, June.
    14. Christopher J. W. Zorn, 1998. "An Analytic and Empirical Examination of Zero-Inflated and Hurdle Poisson Specifications," Sociological Methods & Research, , vol. 26(3), pages 368-400, February.
    15. Niklas Elert, 2014. "What determines entry? Evidence from Sweden," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(1), pages 55-92, August.
    16. Ulf‐ G. Gerdtham, 1997. "Equity in Health Care Utilization: Further Tests Based on Hurdle Models and Swedish Micro Data," Health Economics, John Wiley & Sons, Ltd., vol. 6(3), pages 303-319, May.
    17. Dionne, Georges & Gagne, Robert & Gagnon, Francois & Vanasse, Charles, 1997. "Debt, moral hazard and airline safety An empirical evidence," Journal of Econometrics, Elsevier, vol. 79(2), pages 379-402, August.
    18. Chadha, Alka, 2009. "TRIPs and patenting activity: Evidence from the Indian pharmaceutical industry," Economic Modelling, Elsevier, vol. 26(2), pages 499-505, March.
    19. Baptista, Rui & Swann, Peter, 1998. "Do firms in clusters innovate more?," Research Policy, Elsevier, vol. 27(5), pages 525-540, September.
    20. Miguel A. Delgado & Thomas J. Kniesner, 1997. "Count Data Models With Variance Of Unknown Form: An Application To A Hedonic Model Of Worker Absenteeism," The Review of Economics and Statistics, MIT Press, vol. 79(1), pages 41-49, February.

    More about this item

    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:eee:ecolet:v:99:y:2008:i:3:p:585-590. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.