IDEAS home Printed from https://ideas.repec.org/a/bes/jnlbes/v13y1995i4p467-74.html
   My bibliography  Save this article

Duration Dependence and Dispersion in Count-Data Models

Author

Listed:
  • Winkelmann, Rainer

Abstract

This paper explores the relation between nonexponential waiting times between events and the distribution of the number of events in a fixed time interval. It is shown that within this framework the frequently observed phenomenon of overdispersion, i.e., a variance that exceeds the mean, is caused by a decreasing hazard function of the waiting times, while an increasing hazard function leads to underdispersion. Using the assumption of i.i.d. gamma distributed waiting times, a new count data model is derived. Its use is illustrated in two applications: the number of births and the number of doctor consultations.

Suggested Citation

  • Winkelmann, Rainer, 1995. "Duration Dependence and Dispersion in Count-Data Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(4), pages 467-474, October.
  • Handle: RePEc:bes:jnlbes:v:13:y:1995:i:4:p:467-74
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

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


    Cited by:

    1. Gurmu, Shiferaw & Rilstone, Paul & Stern, Steven, 1998. "Semiparametric estimation of count regression models1," Journal of Econometrics, Elsevier, vol. 88(1), pages 123-150, November.
    2. Regina T. Riphahn & Jochen Mayer, 2000. "Fertility assimilation of immigrants: Evidence from count data models," Journal of Population Economics, Springer;European Society for Population Economics, vol. 13(2), pages 241-261.
    3. Alison L. Booth & Hiau Joo Kee, 2009. "Intergenerational Transmission of Fertility Patterns," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 71(2), pages 183-208, April.
    4. Rainer Winkelmann, 2015. "Counting on count data models," IZA World of Labor, Institute for the Study of Labor (IZA), pages 148-148, May.
    5. Eugenio J. Miravete, 2004. "The Doubtful Profitability of Foggy Pricing," Working Papers 04-07, NET Institute.
    6. Eugenio Miravete, 2014. "Testing for complementarities among countable strategies," Empirical Economics, Springer, vol. 46(4), pages 1521-1544, June.
    7. Nkegbe, Paul Kwame & Shankar, Bhavani, 2014. "Adoption intensity of soil and water conservation practices by smallholders: evidence from Northern Ghana," Bio-based and Applied Economics Journal, Italian Association of Agricultural and Applied Economics (AIEAA), issue 2, August.
    8. Bijwaard, Govert E. & Franses, Philip Hans & Paap, Richard, 2006. "Modeling Purchases as Repeated Events," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 487-502, October.
    9. Sáez-Castillo, A.J. & Conde-Sánchez, A., 2013. "A hyper-Poisson regression model for overdispersed and underdispersed count data," Computational Statistics & Data Analysis, Elsevier, vol. 61(C), pages 148-157.
    10. Bhati, Avinash, 2007. "Learning from multiple analogies: an Information Theoretic framework for predicting criminal recidivism," MPRA Paper 11850, University Library of Munich, Germany.
    11. Miravete, Eugenio J, 2007. "Competing with Menus of Tariff Options," CEPR Discussion Papers 6279, C.E.P.R. Discussion Papers.
    12. Gregori Baetschmann & Rainer Winkelmann, 2014. "A Dynamic Hurdle Model for Zero-Inflated Count Data: With an Application to Health Care Utilization," SOEPpapers on Multidisciplinary Panel Data Research 648, DIW Berlin, The German Socio-Economic Panel (SOEP).
    13. 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.
    14. Rainer Winkelmann & Klaus Zimmermann, 1998. "Is job stability declining in Germany? Evidence from count data models," Applied Economics, Taylor & Francis Journals, vol. 30(11), pages 1413-1420.
    15. Rock, Steve & Sedo, Stanley & Willenborg, Michael, 2000. "Analyst following and count-data econometrics," Journal of Accounting and Economics, Elsevier, vol. 30(3), pages 351-373, December.
    16. Cuccia, Tiziana, 2009. "A Contingent Ranking Study on the Preferences of Tourists across Seasons/A Contingent Ranking Study on the Preferences of Tourists across Seasons," Estudios de Economía Aplicada, Estudios de Economía Aplicada, vol. 27, pages 161-176, Abril.
    17. Hoyos, David & Riera, Pere, 2013. "Convergent validity between revealed and stated recreation demand data: Some empirical evidence from the Basque Country, Spain," Journal of Forest Economics, Elsevier, vol. 19(3), pages 234-248.
    18. repec:eee:touman:v:33:y:2012:i:4:p:971-977 is not listed on IDEAS
    19. Hagmark, Per-Erik, 2009. "A new concept for count distributions," Statistics & Probability Letters, Elsevier, vol. 79(8), pages 1120-1124, April.
    20. Haab, T. C., 2003. "Temporal correlation in recreation demand models with limited data," Journal of Environmental Economics and Management, Elsevier, vol. 45(2), pages 195-212, March.

    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:bes:jnlbes:v:13:y:1995:i:4:p:467-74. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F. Baum). General contact details of provider: http://www.amstat.org/publications/jbes/index.cfm?fuseaction=main .

    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.

    We have no references for this item. You can help adding them by using 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.